pinecone/core-2020-05-10-deduplication huggingface dataset:
Induced QCD I: Theory

We explore an alternative discretization of continuum SU(N_c) Yang-Mills
theory on a Euclidean spacetime lattice, originally introduced by Budzcies and
Zirnbauer. In this discretization the self-interactions of the gauge field are
induced by a path integral over N_b auxiliary boson fields, which are coupled
linearly to the gauge field. The main progress compared to earlier approaches
is that N_b can be as small as N_c. In the present paper we (i) extend the
proof that the continuum limit of the new discretization reproduces Yang-Mills
theory in two dimensions from gauge group U(N_c) to SU(N_c), (ii) derive
refined bounds on N_b for non-integer values, and (iii) perform a perturbative
calculation to match the bare parameter of the induced gauge theory to the
standard lattice coupling. In follow-up papers we will present numerical
evidence in support of the conjecture that the induced gauge theory reproduces
Yang-Mills theory also in three and four dimensions, and explore the
possibility to integrate out the gauge fields to arrive at a dual formulation
of lattice QCD.Comment: 37 pages, 2 figure
Characterizing the solutions to scattering equations that support
  tree-level $\text{N}^{k}\text{MHV}$ gauge/gravity amplitudes

In this paper we define, independent of theories, two discriminant matrices
involving a solution to the scattering equations in four dimensions, the ranks
of which are used to divide the solution set into a disjoint union of subsets.
We further demonstrate, {entirely within the Cachazo-He-Yuan formalism,} that
each subset of solutions gives nonzero contribution to tree-level
$\text{N}^{k}\text{MHV}$ gauge/gravity amplitudes only for a specific value of
$k$. Thus the solutions can be characterized by the rank of their discriminant
matrices, which in turn determines the value of $k$ of the $\text{N}^{k}
\text{MHV}$ amplitudes a solution can support. As another application of the
technique developed, we show analytically that in Einstein-Yang-Mills theory,
if all gluons have the same helicity, the tree-level single-trace amplitudes
must vanish.Comment: 26 pages. v2: Introduction expanded, more references and one
  discussion section added. v3: an example added in section 5.2, matching
  published versio
Scale Factor Duality for Conformal Cyclic Cosmologies

The scale factor duality is a symmetry of dilaton gravity which is known to
lead to pre-big-bang cosmologies. A conformal time version of the scale factor
duality (SFD) was recently implemented as a UV/IR symmetry between decelerated
and accelerated phases of the post-big-bang evolution within Einstein gravity
coupled to a scalar field. The problem investigated in the present paper
concerns the employment of the conformal time SFD methods to the construction
of pre-big-bang and cyclic extensions of these models. We demonstrate that each
big-bang model gives rise to two qualitatively different pre-big-bang
evolutions: a contraction/expansion SFD model and Penrose's Conformal Cyclic
Cosmology (CCC). A few examples of SFD symmetric cyclic universes involving
certain gauged K\"ahler sigma models minimally coupled to Einstein gravity are
studied. We also describe the specific SFD features of the thermodynamics and
the conditions for validity of the generalized second law in the case of
Gauss-Bonnet (GB) extension of these selected CCC models.Comment: v3; 41 pages; Sect.6 extended by discussion of scale factor duality
  properties of the adiabatic fluctuations; references added; to appear in JHE
Aspects of Superconformal Multiplets in D>4

We explicitly construct and list all unitary superconformal multiplets, along
with their index contributions, in five and six dimensions. From this data, we
uncover various unifying themes in the representation theory of five- and
six-dimensional superconformal field theories. At the same time, we provide a
detailed argument for the complete classification of unitary irreducible
representations in five dimensions using a combination of physical and
mathematical techniques.Comment: 118 pages; v2 typos corrected and references added ; v3
  classification of 5D unitary multiplets corrected and C-type multiplets
  removed ; v4 discussion of the procedure for obtaining irreps of the SCA
  improved and typos corrected, published versio
Generalised structures for N=1 AdS backgrounds

We expand upon a claim made in a recent paper [arXiv: 1411.5721] that generic minimally supersymmetric AdS backgrounds of warped flux compactifications of Type II and M theory can be understood as satisfying a straightforward weak integrability condition in the language of E-d(d) x R+ generalised geometry. Namely, they are spaces admitting a generalised G-structure set by the Killing spinor and with constant singlet generalised intrinsic torsion.Foundational Questions Institute (FQXi) FundSilicon Valley Community FoundationDFG/EXC/QUESTEPSRC/EP/K034456/
Anomalous transport from holography: Part I

We revisit the transport properties induced by the chiral anomaly in a
charged plasma holographically dual to anomalous $U(1)_V\times U(1)_A$ Maxwell
theory in Schwarzschild-$AdS_5$. Off-shell constitutive relations for vector
and axial currents are derived using various approximations generalising most
of known in the literature anomaly-induced phenomena and revealing some new
ones. In a weak external field approximation, the constitutive relations have
all-order derivatives resummed into six momenta-dependent transport coefficient
functions: the diffusion, the electric/magnetic conductivity, and three anomaly
induced functions. The latter generalise the chiral magnetic and chiral
separation effects. Nonlinear transport is studied assuming presence of
constant background external fields. The chiral magnetic effect, including all
order nonlinearity in magnetic field, is proven to be exact when the magnetic
field is the only external field that is turned on. Non-linear corrections to
the constitutive relations due to electric and axial external fields are
computed.Comment: v1: 42 pages, 10 multi-figures, 3 appendices; v2: minor corrections
  introduced and a few refs adde
Effective field theory approach to heavy quark fragmentation

Using an approach based on Soft Collinear Effective Theory (SCET) and Heavy
Quark Effective Theory (HQET) we determine the $b$-quark fragmentation function
from electron-positron annihilation data at the $Z$-boson peak at
next-to-next-to leading order, with next-to-next-to leading log resummation of
DGLAP logarithms, and next-to-next-to-next-to leading log resummation of
endpoint logarithms. This analysis improves, by one order, the previous
extraction of the $b$-quark fragmentation function. We find that while the
addition of the next order in the calculation does not much shift the extracted
form of the fragmentation function, it does reduce theoretical errors
indicating that the expansion is converging. Using an approach based on
effective field theory allows us to systematically control theoretical errors.
While the fits of theory to data are generally good, the fits seem to be
hinting that higher order correction from HQET may be needed to explain the
$b$-quark fragmentation function at smaller values of momentum fraction.Comment: 62 pages. python code for the DGLAP evolution of the fragmentation
  function attache
The correlation matrix of Higgs rates at the LHC

The imperfect knowledge of the Higgs boson decay rates and cross sections at
the LHC constitutes a critical systematic uncertainty in the study of the Higgs
boson properties. We show that the full covariance matrix between the Higgs
rates can be determined from the most elementary sources of uncertainty by a
direct application of probability theory. We evaluate the error magnitudes and
full correlation matrix on the set of Higgs cross sections and branching ratios
at $\sqrt{s}=7$, $8$, $13$ and $14$ TeV, which are provided in ancillary files.
The impact of this correlation matrix on the global fits is illustrated with
the latest $7$+$8$ TeV Higgs dataset.Comment: 25 pages, 1 figure. Complete covariance matrix is available in C,
  Fortran, Mathematica, PDF, TeX and text formats in ancillary file
Off-shell Top Quarks with One Jet at the LHC: A comprehensive analysis
  at NLO QCD

We present a comprehensive study of the production of top quark pairs in
association with one hard jet in the di-lepton decay channel at the LHC. Our
predictions, accurate at NLO in QCD, focus on the LHC Run II with a
center-of-mass energy of 13 TeV. All resonant and non-resonant contributions at
the perturbative order ${\cal O}(\alpha_s^4 \alpha^4)$ are taken into account,
including irreducible backgrounds to $t\bar{t}j$ production, interferences and
off-shell effects of the top quark and the $W$ gauge boson. We extensively
investigate the dependence of our results upon variation of renormalisation and
factorisation scales and parton distribution functions in the quest for an
accurate estimate of the theoretical uncertainties. Additionally, we explore a
few possibilities for a dynamical scale choice with the goal of stabilizing the
perturbative convergence of the differential cross sections far away from the
$t\bar{t}$ threshold. Results presented here are particularly relevant for
searches of new physics as well as for precise measurements of the top-quark
fiducial cross sections and top-quark properties at the LHC.Comment: 51 pages, 36 figures, 6 tables, version to appear in JHE
One-loop supergravity on $\mathrm{AdS}_4\times S^7/\mathbb{Z}_k$ and
  comparison with ABJM theory

The large-$N$ limit of ABJM theory is holographically dual to M-theory on
AdS$_4\times S^7/\mathbb{Z}_k$. The 3-sphere partition function has been
obtained via localization, and its leading behavior $F_{\text{ABJM}}^{(0)}\sim
k^{1/2}N^{3/2}$ is exactly reproduced in the dual theory by tree-level
supergravity. We extend this comparison to the sub-leading $\mathcal O(N^0)$
order by computing the one-loop supergravity free energy as a function of $k$
and comparing it with the ABJM result. Curiously, we find that the expressions
do not match, with $F_{\text{SUGRA}}^{(1)}\sim k^6$, while
$F_{\text{ABJM}}^{(1)}\sim k^2$. This suggests that the low-energy
approximation $Z_{\text{M-theory}}=Z_{\text{SUGRA}}$ breaks down at one-loop
order.Comment: 22 pages, 1 figure, discussion on the O(N^{1/2}) order and references
  adde
Aspects of Galileon Non-Renormalization

We discuss non-renormalization theorems applying to galileon field theories
and their generalizations. Galileon theories are similar in many respects to
other derivatively coupled effective field theories, including general
relativity and $P(X)$ theories. In particular, these other theories also enjoy
versions of non-renormalization theorems that protect certain operators against
corrections from self-loops. However, we argue that the galileons are
distinguished by the fact that they are not renormalized even by loops of other
heavy fields whose couplings respect the galileon symmetry.Comment: 33 pages. v2: minor corrections, added comments, version to appear in
  JHE
Integrability of Orbifold ABJM Theories

Integrable structure has played a very important role in the study of various
non-perturbative aspects of planar ABJM theories. In this paper we showed that
this remarkable structure survive after orbifold operation with discrete group
$\Gamma(\simeq\mathbb{Z}_n)<SU(4)_R\times U(1)_b$. For general $\Gamma$, we
prove the integrability in the scalar sector at the planar two-loop order and
get the Bethe ansatz equations. The eigenvalues of the anomalous dimension
matrix are also obtained. For $\Gamma<SU(4)$, two-loop all-sector and all-loop
BAEs are proposed. Supersymmetric orbifolds are discussed in this framework.Comment: 33 pages, 9 figure
On entanglement entropy in non-Abelian lattice gauge theory and 3D
  quantum gravity

Entanglement entropy is a valuable tool for characterizing the correlation
structure of quantum field theories. When applied to gauge theories, subtleties
arise which prevent the factorization of the Hilbert space underlying the
notion of entanglement entropy. Borrowing techniques from extended topological
field theories, we introduce a new definition of entanglement entropy for both
Abelian and non-Abelian gauge theories. Being based on the notion of
excitations, it provides a completely relational way of defining regions.
Therefore, it naturally applies to background independent theories, e.g.
gravity, by circumventing the difficulty of specifying the position of the
entangling surface. We relate our construction to earlier proposals and argue
that it brings these closer to each other. In particular, it yields the
non-Abelian analogue of the "magnetic centre choice", as obtained through an
extended-Hilbert-space method, but applied to the recently introduced fusion
basis for 3D lattice gauge theories. We point out that the different
definitions of entanglement theory can be related to a choice of (squeezed)
vacuum state.Comment: 25 pages + Appendice
Gauged spinning models with deformed supersymmetry

New models of the SU(2|1) supersymmetric mechanics based on gauging the
systems with dynamical (1,4,3) and semi-dynamical (4,4,0) supermultiplets are
presented. We propose a new version of SU(2|1) harmonic superspace approach
which makes it possible to construct the Wess-Zumino term for interacting
(4,4,0) multiplets. A new N=4 extension of d=1 Calogero-Moser multiparticle
system is obtained by gauging the U(n) isometry of matrix SU(2|1) harmonic
superfield model.Comment: 0 + 22 pages, reference added, typos correcte
Two-loop $gg \to Hg$ amplitude mediated by a nearly massless quark

We analytically compute the two-loop scattering amplitude $gg \to Hg$
assuming that the mass of the quark, that mediates the ggH interaction, is
vanishingly small. Our computation provides an important ingredient required to
improve the theoretical description of the top-bottom interference effect in
Higgs boson production in gluon fusion, and to elucidate its impact on the
Higgs boson transverse momentum distribution.Comment: 29 pages, 4 figures, analytical results attached as ancillary files,
  v2 minor typos corrected, published on JHE
Two-loop RGE of a general renormalizable Yang-Mills theory in a
  renormalization scheme with an explicit UV cutoff

We perform a systematic one-loop renormalization of a general renormalizable
Yang-Mills theory coupled to scalars and fermions using a regularization scheme
with a smooth momentum cutoff $\Lambda$ (implemented through an exponential
damping factor). We construct the necessary finite counterterms restoring the
BRST invariance of the effective action by analyzing the relevant
Slavnov-Taylor identities. We find the relation between the renormalized
parameters in our scheme and in the conventional $\overline{\rm MS}$ scheme
which allow us to obtain the explicit two-loop renormalization group equations
in our scheme from the known two-loop ones in the $\overline{\rm MS}$ scheme.
We calculate in our scheme the divergences of two-loop vacuum graphs in the
presence of a constant scalar background field which allow us to rederive the
two-loop beta functions for parameters of the scalar potential. We also prove
that consistent application of the proposed regularization leads to
counterterms which, together with the original action, combine to a bare action
expressed in terms of bare parameters. This, together with treating $\Lambda$
as an intrinsic scale of a hypothetical underlying finite theory of all
interactions, offers a possibility of an unconventional solution to the
hierarchy problem if no intermediate scales between the electroweak scale and
the Planck scale exist.Comment: updated references, 90 pages, many figure
Infrared Computations of Defect Schur Indices

We conjecture a formula for the Schur index of N=2 four-dimensional theories
in the presence of boundary conditions and/or line defects, in terms of the
low-energy effective Seiberg-Witten description of the system together with
massive BPS excitations. We test our proposal in a variety of examples for
SU(2) gauge theories, either conformal or asymptotically free. We use the
conjecture to compute these defect-enriched Schur indices for theories which
lack a Lagrangian description, such as Argyres-Douglas theories. We demonstrate
in various examples that line defect indices can be expressed as sums of
characters of the associated two-dimensional chiral algebra and that for
Argyres-Douglas theories the line defect OPE reduces in the index to the
Verlinde algebra.Comment: 63 pages + appendices, 15 figures. v2 published version, references
  added, representations of SO(8) Kac-Moody discusse
Scalar versus fermionic top partner interpretations of $t\bar t +
  E_T^{\rm miss}$ searches at the LHC

We assess how different ATLAS and CMS searches for supersymmetry in the
$t\bar t + E_T^{\rm miss}$ final state at Run 1 of the LHC constrain scenarios
with a fermionic top partner and a dark matter candidate. We find that the
efficiencies of these searches in all-hadronic, 1-lepton and 2-lepton channels
are quite similar for scalar and fermionic top partners. Therefore, in general,
efficiency maps for stop-neutralino simplified models can also be applied to
fermionic top-partner models, provided the narrow width approximation holds in
the latter. Owing to the much higher production cross-sections of heavy top
quarks as compared to stops, masses up to $m_T\approx 850$ GeV can be excluded
from the Run 1 stop searches. Since the simplified-model results published by
ATLAS and CMS do not extend to such high masses, we provide our own efficiency
maps obtained with CheckMATE and MadAnalysis 5 for these searches. Finally, we
also discuss how generic gluino/squark searches in multi-jet final states
constrain heavy top partner production.Comment: 39 pages, 8 figures, 17 tables. Version accepted by JHEP. Efficiency
  maps derived for this paper can be downloaded from
  http://lpsc.in2p3.fr/projects-th/recasting/susy-vs-vlq/ttbarME
The RG-improved Twin Higgs effective potential at NNLL

We present the Renormalization Group improvement of the Twin Higgs effective
potential at cubic order in logarithmic accuracy. We first introduce a
model-independent low-energy effective Lagrangian that captures both the
pseudo-Nambu-Goldstone boson nature of the Higgs field and the twin light
degrees of freedom charged under a copy of the Standard Model. We then apply
the background field method to systematically re-sum all the one loop diagrams
contributing to the potential. We show how this technique can be efficient to
implicitly renormalize the higher-dimensional operators in the twin sector
without classifying all of them. A prediction for the Higgs mass in the Twin
Higgs model is derived and found to be of the order of $M_H \sim 120
~\text{GeV}$ with an ultraviolet cut-off $m_*\sim 10-20 ~\text{TeV}$.
Irrespective of any possible ultraviolet completion of the low-energy
Lagrangian, the infrared degrees of freedom alone are therefore enough to
account for the observed value of the Higgs mass through running effects.Comment: 28 pages, 6 figure
The Goldstino Brane, the Constrained Superfields and Matter in N=1
  Supergravity

We show that different (brane and constrained superfield) descriptions for
the Volkov-Akulov goldstino coupled to N=1, D=4 supergravity with matter
produce similar wide classes of models with spontaneously broken local
supersymmetry and discuss the relation between the different formulations. As
with the formulations with irreducible constrained superfields, the geometric
goldstino brane approach has the advantage of being manifestly off-shell
supersymmetric without the need to introduce auxiliary fields. It provides an
explicit solution of the nilpotent superfield constraints and avoids issues
with non-Gaussian integration of auxiliary fields. We describe general
couplings of the supersymmetry breaking sector, including the goldstino and
other non-supersymmetric matter, to supergravity and matter supermultiplets.
Among various examples, we discuss a goldstino brane contribution to the
gravitino mass term and the supersymmetrization of the anti-D3-brane
contribution to the effective theory of type IIB warped flux compactifications.Comment: Dedicated to the memory of Mario Tonin, 47 pages; v2,v3: comments and
  references added, typos correcte
Comments on complete actions for open superstring field theory

We clarify a Wess-Zumino-Wtten-like structure including Ramond fields and
propose one systematic way to construct gauge invariant actions:
Wess-Zumino-Witten-like complete action $S_{\rm WZW}$. We show that
Kunitomo-Okawa's action proposed in arXiv:1508.00366 can obtain a topological
parameter dependence of Ramond fields and belongs to our WZW-like framework. In
this framework, once a WZW-like functional $\mathcal{A}_{\eta } =
\mathcal{A}_{\eta } [\Psi ]$ of a dynamical string field $\Psi $ is
constructed, we obtain one realization of $S_{\rm WZW}$ parametrized by $\Psi
$. On the basis of this way, we construct an action $\widetilde{S}$ whose
on-shell condition is equivalent to the Ramond equations of motion proposed in
arXiv:1506.05774. Using these results, we provide the equivalence of two these
theories: arXiv:1508.00366 and arXiv:1506.05774.Comment: 25+5 pages; Published ve
Thermality and excited state R\'enyi entropy in two-dimensional CFT

We evaluate one-interval R\'enyi entropy and entanglement entropy for the
excited states of two-dimensional conformal field theory (CFT) on a cylinder,
and examine their differences from the ones for the thermal state. We assume
the interval to be short so that we can use operator product expansion (OPE) of
twist operators to calculate R\'enyi entropy in terms of sum of one-point
functions of OPE blocks. We find that the entanglement entropy for highly
excited state and thermal state behave the same way after appropriate
identification of the conformal weight of the state with the temperature.
However, there exists no such universal identification for the R\'enyi entropy
in the short-interval expansion. Therefore, the highly excited state does not
look thermal when comparing its R\'enyi entropy to the thermal state one. As
the R\'enyi entropy captures the higher moments of the reduced density matrix
but the entanglement entropy only the average, our results imply that the
emergence of thermality depends on how refined we look into the entanglement
structure of the underlying pure excited state.Comment: 16 pages, 1 figure; V2, 17 pages, 2 figures, published versio
Light-like Scattering in Quantum Gravity

We consider scattering in quantum gravity and derive long-range classical and
quantum contributions to the scattering of light-like bosons and fermions
(spin-0, spin-1/2, spin-1) from an external massive scalar field, such as the
Sun or a black hole. This is achieved by treating general relativity as an
effective field theory and identifying the non-analytic pieces of the one-loop
gravitational scattering amplitude. It is emphasized throughout the paper how
modern amplitude techniques, involving spinor-helicity variables, unitarity,
and squaring relations in gravity enable much simplified computations. We
directly verify, as predicted by general relativity, that all classical effects
in our computation are universal (in the context of matter type and
statistics). Using an eikonal procedure we confirm the post-Newtonian general
relativity correction for light-like bending around large stellar objects. We
also comment on treating effects from quantum hbar dependent terms using the
same eikonal method.Comment: latex 31 pages. 5 feynmp figures. v2: Clarifications on conventions
  and notations. Minors changes and latex format update. v3: A sign mistake
  corrected and various typos correcte