pinecone/core-2020-05-10-deduplication huggingface dataset:
Affine q-deformed symmetry and the classical Yang-Baxter sigma-model

The Yang-Baxter $\sigma$-model is an integrable deformation of the principal
chiral model on a Lie group $G$. The deformation breaks the $G \times G$
symmetry to $U(1)^{\textrm{rank}(G)} \times G$. It is known that there exist
non-local conserved charges which, together with the unbroken
$U(1)^{\textrm{rank}(G)}$ local charges, form a Poisson algebra $\mathscr
U_q(\mathfrak{g})$, which is the semiclassical limit of the quantum group
$U_q(\mathfrak{g})$, with $\mathfrak{g}$ the Lie algebra of $G$. For a general
Lie group $G$ with rank$(G)>1$, we extend the previous result by constructing
local and non-local conserved charges satisfying all the defining relations of
the infinite-dimensional Poisson algebra $\mathscr U_q(L \mathfrak{g})$, the
classical analogue of the quantum loop algebra $U_q(L \mathfrak{g})$, where $L
\mathfrak{g}$ is the loop algebra of $\mathfrak{g}$. Quite unexpectedly, these
defining relations are proved without encountering any ambiguity related to the
non-ultralocality of this integrable $\sigma$-model.Comment: 21 pages, references adde
LHC vector resonance searches in the $t\bar{t} Z$ final state

LHC searches for BSM resonances in $l^+ l^-, \, jj, \, t\bar{t}, \gamma
\gamma$ and $VV$ final states have so far not resulted in discovery of new
physics. Current results set lower limits on mass scales of new physics
resonances well into the $\mathcal{O}(1)$ TeV range, assuming that the new
resonance decays dominantly to a pair of Standard Model particles. While the SM
pair searches are a vital probe of possible new physics, it is important to
re-examine the scope of new physics scenarios probed with such final states.
Scenarios where new resonances decay dominantly to final states other than SM
pairs, even though well theoretically motivated, lie beyond the scope of SM
pair searches. In this paper we argue that LHC searches for (vector) resonances
beyond two particle final states would be useful complementary probes of new
physics scenarios. As an example, we consider a class of composite Higgs
models, and identify specific model parameter points where the color singlet,
electrically neutral vector resonance $\rho_0$ decays dominantly not to a pair
of SM particles, but to a fermionic top partner $T_{f1}$ and a top quark, with
$T_{f1} \rightarrow tZ$. We show that dominant decays of $\rho_0 \rightarrow
T_{f1} t$ in the context of Composite Higgs models are possible even when the
decay channel to a pair of $T_{f1}$ is kinematically open. Our analysis deals
with scenarios where both $m_\rho$ and $m_{T_{f1}}$ are of $\mathcal{O}(1)$
TeV, leading to highly boosted $t\bar{t}Z$ final state topologies. We show that
the particular composite Higgs scenario we consider is discoverable at the
LHC13 with as little as 30 fb$^{-1}$, while being allowed by other existing
experimental constraints.Comment: 37 pages, 6 figures, 9 tables. v2: typos corrected, Version published
  in JHE
The right top coupling in the aligned two-Higgs-doublet model

We compute the right top quark coupling in the aligned two-Higgs-doublet
model. In the Standard Model the real part of this coupling is dominated by
QCD-gluon-exchange diagram, but the imaginary part, instead, is purely
electroweak at one loop. Within this model we show that values for the
imaginary part of the coupling up to one order of magnitude larger than the
electroweak prediction can be obtained. For the real part of the electroweak
contribution we find that it can be up to three orders of magnitude larger than
the standard model one. We also present detailed results of the one loop
analytical computation
Multi-centered AdS$_3$ solutions from Virasoro conformal blocks

We revisit the construction of multi-centered solutions in three-dimensional
anti-de Sitter gravity in the light of the recently discovered connection
between particle worldlines and classical Virasoro conformal blocks. We focus
on multi-centered solutions which represent the backreaction of point masses
moving on helical geodesics in global AdS$_3$, and argue that their
construction reduces to a problem in Liouville theory on the disk with
Zamolodchikov-Zamolodchikov boundary condition. In order to construct the
solution one needs to solve a certain monodromy problem which we argue is
solved by a vacuum classical conformal block on the sphere in a particular
channel. In this way we construct multi-centered gravity solutions by using
conformal blocks special functions. We show that our solutions represent
left-right asymmetric configurations of operator insertions in the dual CFT. We
also provide a check of our arguments in an example and comment on other types
of solutions.Comment: 29 + 5 pages. v2: error in right-moving stress tensor corrected,
  section 4 expanded, references adde
On Form Factors and Correlation Functions in Twistor Space

In this paper, we continue our study of form factors and correlation
functions of gauge-invariant local composite operators in the twistor-space
formulation of N=4 super Yang-Mills theory. Using the vertices for these
operators obtained in our recent papers arXiv:1603.04471 and arXiv:1604.00012,
we show how to calculate the twistor-space diagrams for general N^kMHV form
factors via the inverse soft limit, in analogy to the amplitude case. For
general operators without $\dot\alpha$ indices, we then reexpress the NMHV form
factors from the position-twistor calculation in terms of momentum twistors,
deriving and expanding on a relation between the two twistor formalisms
previously observed in the case of amplitudes. Furthermore, we discuss the
calculation of generalized form factors and correlation functions as well as
the extension to loop level, in particular providing an argument promised in
arXiv:1410.6310.Comment: 24+17 pages, 18 figures; v2: typos corrected, matches published
  versio
Two-dimensional gauge dynamics and the topology of singular
  determinantal varieties

We record an observation about the Witten indices in two families of gauged
linear sigma models: the U(2) model for linear sections of Grassmannians, and
the U(1) model for quadric complete intersections. We describe how the Witten
indices are related to the Euler characteristics of the singular skew-symmetric
or symmetric determinantal varieties featuring in the analysis of their
opposite phases, and we discuss the extent to which these relationships can be
reconciled with standard Born-Oppenheimer arguments.Comment: v3: incorporated referee's comment
Y-system for $\gamma$-deformed ABJM Theory

We investigate the integrable aspects of the planar $\gamma$-deformed ABJM
theory and propose the twisted asymptotic Bethe ansatz equations. A more
general method through a twisted generating functional is discussed, based on
which, the asymptotic large L solution of Y-system is modified in order to
match the asymptotic Bethe ansatz equations. Several applications of our method
were made in the $sl(2)$-like sector and some important examples in
$\beta$-deformed ABJM are presented as well.Comment: 26 pages, 1 figur
Emergent Gravity from Vanishing Energy-Momentum Tensor

A constraint of vanishing energy-momentum tensor is motivated by a variety of
perspectives on quantum gravity. We demonstrate in a concrete example how this
constraint leads to a metric-independent theory in which quantum gravity
emerges as a nonperturbative artifact of regularization-scale physics. We
analyze a scalar theory similar to the Dirac-Born-Infeld (DBI) theory with
vanishing gauge fields, with the DBI Lagrangian modulated by a scalar
potential. In the limit of a large number of scalars, we explicitly demonstrate
the existence of a composite massless spin-2 graviton in the spectrum that
couples to matter as in Einstein gravity. We comment on the cosmological
constant problem and the generalization to theories with fermions and gauge
fields.Comment: 25 pages, 6 figure
Equations of Motion as Constraints: Superselection Rules, Ward
  Identities

The meaning of local observables is poorly understood in gauge theories, not
to speak of quantum gravity. As a step towards a better understanding we study
asymptotic (infrared) transformation in local quantum physics. Our observables
are smeared by test functions, at first vanishing at infinity. In this context
we show that the equations of motion can be seen as constraints, which generate
a group, the group of space and time dependent gauge transformations.This is
one of the main points of the paper. Infrared nontrivial effects are captured
allowing test functions which do not vanish at infinity. These extended
operators generate a larger group. The quotient of the two groups generate
superselection sectors, which differentiate different infrared sectors. The BMS
group changes the superselection sector, a result long known for its Lorentz
subgroup. It is hence spontaneously broken. Ward identities implied by the
gauge invariance of the S-matrix generalize the standard results and lead to
charge conservation and low energy theorems. Their validity does not require
Lorentz invariance.Comment: 21 pages, 1 reference added and typos correcte
Higgs boson pair productions in the Georgi-Machacek model at the LHC

Higgs bosons pair production is well known for its sensitivity to probing the
sign and size of Higgs boson self coupling, providing a way to determine
whether there is an extended Higgs sector. The Georgi-Machacek (GM) model
extends the Standard Model (SM) with an $SU(2)_L$ triplet scalar field that has
one real and one complex components. The Higgs self coupling now has a wider
range than that in the SM, with even the possibility of a sign flip. The new
heavy singlet Higgs boson $H^{0}_{1}$ can contribute to s-channel production of
the $hh$ pairs. In this work, we study non-resonant/resonant Higgs boson pair
productions $p p \rightarrow hh$ and $p p \rightarrow H^{0}_{1} \rightarrow
hh$, focusing exclusively on the contribution of $H^0_1$. We show the
sensitivity for Higgs boson pair production searches at the 13-TeV LHC with the
luminosities of $3.2,\ 30$ and $100$~fb$^{-1}$.Comment: 22 pages, 17 figure
Multifractional theories: an unconventional review

We answer to 72 frequently asked questions about theories of multifractional
spacetimes. Apart from reviewing and reorganizing what we already know about
such theories, we discuss the physical meaning and consequences of the very
recent flow-equation theorem on dimensional flow in quantum gravity, in
particular its enormous impact on the multifractional paradigm. We will also
get some new theoretical results about the construction of multifractional
derivatives and the symmetries in the yet-unexplored theory $T_\gamma$, the
resolution of ambiguities in the calculation of the spectral dimension, the
relation between the theory $T_q$ with $q$-derivatives and the theory
$T_\gamma$ with fractional derivatives, the interpretation of complex
dimensions in quantum gravity, the frame choice at the quantum level, the
physical interpretation of the propagator in $T_\gamma$ as an infinite
superposition of quasiparticle modes, the relation between multifractional
theories and quantum gravity, and the issue of renormalization, arguing that
power-counting arguments do not capture the exotic properties of extreme UV
regimes of multifractional geometry, where $T_\gamma$ may indeed be
renormalizable. A careful discussion of experimental bounds and new constraints
are also presented.Comment: 1+106 pages, 3 figures, 9 tables, 245 references. Review article
  (with several important novelties) through 72 questions; in some of them,
  there is text overlap with papers by the author, all indicated in the text.
  v2: references added, minor typos corrected, answers to questions 01, 59 and
  68 expanded. v3: minor typos correcte
Unstoppable brane-flux decay of $\overline{\text{D6}}$ branes

We investigate $p$ $\overline{\text{D6}}$ branes inside a flux throat that
carries $K \times M$ D6 charges with $K$ the 3-form flux quantum and $M$ the
Romans mass. We find that within the calculable supergravity regime where $g_s
p$ is large, the $\overline{\text{D6}}$ branes annihilate immediately against
the fluxes despite the existence of a metastable state at small $p/M$ in the
probe approximation. The crucial property that causes this naive conflict with
effective field theory is a singularity in the 3-form flux, which we cut off at
string scale. Our result explains the absence of regular solutions at finite
temperature and suggests there should be a smooth time-dependent solution. We
also discuss the qualitative differences between $\overline{\text{D6}}$ branes
and $\overline{\text{D3}}$ branes, which makes it a priori not obvious to
conclude the same instability for $\overline{\text{D3}}$ branes.Comment: 26 pages, 6 figures. V2: Corrections to equations and typo
Scalar Dark Matter: Real vs Complex

We update the parameter spaces for both a real and complex scalar dark matter
via the Higgs portal. In the light of constraints arising from the LUX 2016
data, the latest Higgs invisible decay and the gamma ray spectrum, the dark
matter resonant mass region is further restricted to a narrow window between
$54.9-62.3$ GeV in both cases, and its large mass region is excluded until
$834$ GeV and $3473$ GeV for the real and complex scalar, respectively.Comment: 10 pages, 3 figures and 2 tables; V2: 11 pp, Updated references and
  Xenon-1T dat
Universality and the dynamical space-time dimensionality in the
  Lorentzian type IIB matrix model

The type IIB matrix model is one of the most promising candidates for a
nonperturbative formulation of superstring theory. In particular, its
Lorentzian version was shown to exhibit an interesting real-time dynamics such
as the spontaneous breaking of the 9-dimensional rotational symmetry to the
3-dimensional one. This result, however, was obtained after regularizing the
original matrix integration by introducing "infrared" cutoffs on the quadratic
moments of the Hermitian matrices. In this paper, we generalize the form of the
cutoffs in such a way that it involves an arbitrary power ($2p$) of the
matrices. By performing Monte Carlo simulation of a simplified model, we find
that the results become independent of $p$ and hence universal for $p \gtrsim
1.3$. For $p$ as large as 2.0, however, we find that large-$N$ scaling
behaviors do not show up, and we cannot take a sensible large-$N$ limit. Thus
we find that there is a certain range of $p$ in which a universal large-$N$
limit can be taken. Within this range of $p$, the dynamical space-time
dimensionality turns out to be $(3+1)$, while for $p=2.0$, where we cannot take
a sensible large-$N$ limit, we observe a (5+1)d structure.Comment: 20 pages, 26 figure
Zero modes in de Sitter background

There are five well-known zero modes among the fluctuations of the metric of
de~Sitter (dS) spacetime. For Euclidean signature, they can be associated with
certain spherical harmonics on the $S^4$ sphere, viz., the vector
representation $\bf5$ of the global $SO(5)$ isometry. They appear, for example,
in the perturbative calculation of the on-shell effective action of dS space,
as well as in models containing matter fields. These modes are shown to be
associated with collective modes of $S^4$ corresponding to certain coherent
fluctuations. When dS space is embedded in flat five dimensions $E^5,$ they may
be seen as a legacy of translation of the center of the $S^4$ sphere. Rigid
translations of the $S^4$-sphere on $E^5$ leave the classical action invariant
but are unobservable displacements from the point of view of gravitational
dynamics on $S^4.$ Thus, unlike similar moduli, the center of the sphere is not
promoted to a dynamical degree of freedom. As a result, these zero modes do not
signify the possibility of physically realizable fluctuations or flat
directions for the metric of dS space. They are not associated with Killing
vectors on $S^4$ but can be with certain non-isometric, conformal Killing forms
that locally correspond to a rescaling of the volume element $dV_4.$
  For convenience, we frame our discussion in the context of renormalizable
gravity, but the conclusions apply equally to the corresponding zero modes in
Einstein gravity. We expect that these zero modes will be present to all orders
in perturbation theory. They will occur for Lorentzian signature as well, so
long as the hyperboloid $H^4$ is locally stable, but there remain certain
infrared issues that need to be clarified. We conjecture that they will appear
in any gravitational theory having dS background as a locally stable solution
of the effective action, regardless of whether additional matter is included.Comment: v4, 28pages, no figures; final journal form, minor changes in text
  and refs from v
4d $\mathcal{N}$=2 theories with disconnected gauge groups

In this paper we present a beautifully consistent web of evidence for the
existence of interacting 4d rank-1 $\mathcal{N}=2$ SCFTs obtained from gauging
discrete subgroups of global symmetries of other existing 4d rank-1
$\mathcal{N}=2$ SCFTs. The global symmetries that can be gauged involve a
non-trivial combination of discrete subgroups of the $U(1)_R$, low-energy EM
duality group $SL(2,\mathbb{Z})$, and the outer automorphism group of the
flavor symmetry algebra, Out($F$).
  The theories that we construct are remarkable in many ways: (i) two of them
have exceptional $F_4$ and $G_2$ flavor groups; (ii) they substantially
complete the picture of the landscape of rank-1 $\mathcal{N}=2$ SCFTs as they
realize all but one of the remaining consistent rank-1 Seiberg-Witten
geometries that we previously constructed but were not associated to known
SCFTs; and (iii) some of them have enlarged $\mathcal{N}=3$ SUSY, and have not
been previously constructed. They are also examples of SCFTs which violate the
Shapere-Tachikawa relation between the conformal central charges and the
scaling dimension of the Coulomb branch vev. We propose a modification of the
formulas computing these central charges from the topologically twisted Coulomb
branch partition function which correctly compute them for discretely gauged
theories.Comment: 45 pages, 3 figure
Effective field theory approach to open heavy flavor production in
  heavy-ion collisions

We develop a version of Soft Collinear Effective Theory (SCET) which includes
finite quark masses, as well as Glauber gluons that describe the interaction of
collinear partons with QCD matter. In the framework of this new effective field
theory, labeled SCET$_{\mathrm{M,G}}$, we derive the massive splitting
functions in the vacuum and the QCD medium for the processes $Q\to Qg$, $Q\to
gQ$ and $g\to Q\bar Q$. The numerical effects due to finite quark masses are
sizable and our results are consistent with the traditional approach to parton
energy loss in the soft gluon emission limit. In addition, we present a new
framework for including the medium-induced full splitting functions consistent
with next-to-leading order calculations in QCD for inclusive hadron production.
Finally, we show numerical results for the suppression of $D$- and $B$-mesons
in heavy ion collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV and 2.76 TeV and
compare to available data from the LHC.Comment: 43 pages, 14 figure
Interacting fields in real-time AdS/CFT

We compute time-ordered 2- and 3-pt correlation functions of CFT scalar
operators between generic in/out states. The calculation is holographically
carried out by considering a non backreacting AdS scalar field with a $\lambda
\phi^3$ self-interaction term on a combination of Euclidean and Lorentzian AdS
sections following the Skenderis-van Rees prescription. We show that, although
working in an essentially different set up, the final result for the 3-pt
correlators agree with those of Rastelli et al. for Euclidean AdS. By analyzing
the inner product between the in/out excited states in the large $N$
approximation, we argue that a cubic bulk interaction deforms the excited
states from coherent into \emph{squeezed}. Finally, a diagrammatic
interpretation of the results suggests some general properties for the
$n$-point correlation functions between excited states.Comment: 23 pages, 5 figure
Difference between two species of emu hides a test for lepton flavour
  violation

We argue that an LHC measurement of some simple quantities related to the
ratio of rates of e+mu- to e-mu+ events is surprisingly sensitive to as-yet
unexcluded R-parity violating supersymmetric models with non-zero lambda-prime
231 couplings. The search relies upon the approximate lepton universality in
the Standard Model, the sign of the charge of the proton, and a collection of
favourable detector biases. The proposed search is unusual because: it does not
require any of the displaced vertices, hadronic neutralino decay products, or
squark/gluino production relied upon by existing LHC RPV searches; it could
work in cases in which the only light sparticles were smuons and neutralinos;
and it could make a discovery (though not necessarily with optimal
significance) without requiring the computation of a leading-order Monte Carlo
estimate of any background rate. The LHC has shown no strong hints of
post-Higgs physics and so precision Standard Model measurements are becoming
ever more important. We argue that in this environment growing profits are to
be made from searches that place detector biases and symmetries of the Standard
Model at their core - searches based around `controls' rather than around
signals.Comment: 17 page, 7 figs; v2: reference added; v3: clarified statement about
  W+jet bias; v4: changes from referee comments, inc addition of quantitative
  bias estimate. Replaced ptmiss with mt(mu); v5: fixes error introduced in v4
  (ptmiss should have been replaced by mT(e)+mT(mu) not by mT(mu)). An erratum
  is also submitted to JHEP. Error is not present in arXiv v1, v2, v3 or v
Scattering Equations: Real Solutions and Particles on a Line

We find $n(n-3)/2$-dimensional regions of the space of kinematic invariants,
where all the solutions to the scattering equations (the core of the CHY
formulation of amplitudes) for $n$ massless particles are real. On these
regions, the scattering equations are equivalent to the problem of finding
stationary points of $n-3$ mutually repelling particles on a finite real
interval with appropriate boundary conditions. This identification directly
implies that for each of the $(n-3)!$ possible orderings of the $n-3$ particles
on the interval, there exists one stable stationary point. Furthermore,
restricting to four dimensions, we find that the separation of the solutions
into $k\in \{2,3,\ldots ,n-2\}$ sectors naturally matches that of permutations
of $n-3$ labels into those with $k-2$ descents. This leads to a physical
realization of the combinatorial meaning of the Eulerian numbers.Comment: 21 pages, 4 figures, section 5.4 adde
Ring Relations and Mirror Map from Branes

We study the space of vacua of three-dimensional $\mathcal{N}=4$ theories
from a novel approach building on the type IIB brane realization of the theory
and in which the insertion of local chiral operators in the path integral is
obtained from integrating out light modes in appropriate brane setups. Most of
our analysis focuses on abelian quiver theories which can be realized as the
low-energy theory of D3-D5-NS5 brane arrays. Their space of vacua contains a
Higgs branch, parametrized by the vevs of half-BPS meson operators, and a
Coulomb branch, parametrized by the vevs of half-BPS monopole operators. We
show that the Higgs operators are inserted by adding F1 strings and D3 branes,
while the Coulomb operators are inserted by adding D1 strings and D3 branes,
with specific orientations, to the initial brane setup of the theory. This
approach has two main advantages. First the ring relations describing the Higgs
and Coulomb branches can be derived by looking at specific brane setups with
multiple interpretations in terms of operator insertions. This provides a new
derivation of the Coulomb branch quantum relations. Secondly the map between
the Higgs and Coulomb operators of mirror dual theories is obtained in a
trivial way from IIB S-duality.Comment: 76 pages, including 41 figures. v2: discussion on the Higgs branch of
  non-abelian theories added, published versio