pinecone/core-2020-05-10-deduplication huggingface dataset:
Explicit examples of DIM constraints for network matrix models

Dotsenko-Fateev and Chern-Simons matrix models, which describe Nekrasov
functions for SYM theories in different dimensions, are all incorporated into
network matrix models with the hidden Ding-Iohara-Miki (DIM) symmetry. This
lifting is especially simple for what we call balanced networks. Then, the Ward
identities (known under the names of Virasoro/W-constraints or loop equations
or regularity condition for qq-characters) are also promoted to the DIM level,
where they all become corollaries of a single identity.Comment: 46 page
Axion Inflation with an SU(2) Gauge Field: Detectable Chiral Gravity
  Waves

We study a single field axion inflation model in the presence of an SU(2)
gauge field with a small vev. In order to make the analysis as
model-independent as possible, we consider an arbitrary potential for the axion
that is able to support the slow-roll inflation. The gauge field is coupled to
the axion with a Chern-Simons interaction $\frac{\lambda}{f}F_{\mu\nu}^a\tilde
F_a^{\mu\nu}$ where $\frac{\lambda}{f}\sim\mathcal{O}(10)$. It has a negligible
effect on the background evolution, $\frac{\rho_{_{\rm YM}}}{M_{\rm
Pl}^2H^2}\lesssim\epsilon^2$. However, its quantum fluctuations make a
significant contribution to the cosmic perturbation. In particular, the gauge
field has a spin-2 fluctuation which explicitly breaks the parity between the
left- and right-handed polarization states. The chiral tensor modes are
linearly coupled to the gravitational waves and lead to a circularly polarized
tensor power spectrum comparable to the unpolarized vacuum power spectrum.
Moreover, the scalar sector is modified by the linear scalar fluctuations of
the gauge field. Since the spin-0 and spin-2 fluctuations of the SU(2) gauge
field are independent, the gauge field can, at the same time, generate a
detectable chiral gravitational wave signal and have a negligible contribution
to the scalar fluctuations, in agreement with the current CMB observations.Comment: 34 pages, 8 figures, to appear in JHE
Interference Effects in the Decays of Spin-Zero Resonances into $\gamma
  \gamma$ and $t\bar{t}$

We consider interference effects in the production via gluon fusion in LHC
collisions at 13 TeV and decays into $\gamma \gamma$ and $t {\bar t}$ final
states of one or two putative new resonant states $\Phi$, assumed here to be
scalar and/or pseudo scalar particles. Although our approach is general, we use
for our numerical analysis the example of the putative $750$ GeV state for
which a slight excess was observed in the initial LHC $13$ TeV data. We revisit
previous calculations of the interferences between the heavy-fermion
loop-induced $gg \to \Phi \to \gamma \gamma$ signal and the continuum $gg\to
\gamma\gamma$ QCD background, which can alter the production rate as well as
modify the line-shape and apparent mass. We find a modest enhancement by $\sim
20$% under favorable circumstances, for a large $\Phi$ width. The effect of
interference on the apparent scalar-pseudoscalar mass difference in a
two-Higgs-doublet model is found to be also modest. An exploratory study
indicates that similar effects are to be expected in the $gg \to \Phi \to Z
\gamma$ channel. In this and other models with a large $\Phi$ total width, the
dominant $\Phi$ decays are expected to be into $t \bar t$ final states. We
therefore also study the effects of interference of the $gg\to \Phi \to t\bar
t$ signal with the $gg\to t \bar t$ continuum QCD background and show that in
the presence of standard fermions only in the $gg\to \Phi$ loops, it is
destructive causing a dip in the $t \bar t$ mass distribution. Including
additional vector-like quarks leads to a different picture as peaks followed by
dips can then occur. We use the absence of such effects in ATLAS and CMS data
to constrain models of the production and decays of the $\Phi$ state(s).Comment: 31 pages, v2 contains additional comment
Classical equation of motion and Anomalous dimensions at leading order

Motivated by a recent paper by Rychkov-Tan \cite{Rychkov:2015naa}, we
calculate the anomalous dimensions of the composite operators at the leading
order in various models including a $\phi^3$-theory in $(6-\epsilon)$
dimensions. The method presented here relies only on the classical equation of
motion and the conformal symmetry. In case that only the leading expressions of
the critical exponents are of interest, it is sufficient to reduce the
multiplet recombination discussed in \cite{Rychkov:2015naa} to the classical
equation of motion. We claim that in many cases the use of the classical
equations of motion and the CFT constraint on two- and three-point functions
completely determine the leading behavior of the anomalous dimensions at the
Wilson-Fisher fixed point without any input of the Feynman diagrammatic
calculation. The method developed here is closely related to the one presented
in \cite{Rychkov:2015naa} but based on a more perturbative point of view.Comment: 21 page
CP-Violation and Non-Standard Interactions at the MOMENT

To measure the last unknown $3\nu$ oscillation parameter ($\delta$), several
long baseline neutrino experiments have been designed or proposed. Recently it
has been shown that turning on neutral current Non-Standard Interactions (NSI)
of neutrinos with matter can induce degeneracies that may even hinder the
proposed state-of-the-art DUNE long baseline experiment from measuring the
value of $\delta$. We study how the result of the proposed MOMENT experiment
with a baseline of 150 km and $200~{\rm MeV}<E_\nu<600~{\rm MeV}$ can help to
solve the degeneracy induced by NSI and determine the true value of $\delta$.Comment: 15 pages, 6 figure
Leptonic Precision Test of Leptophilic Two-Higgs-Doublet Model

The type X (lepton-specific) two-Higgs-doublet model at large $\tan\beta$
becomes leptophilic and thus allows a light pseudoscalar $A$ accommodating the
observed muon $g-2$ deviation without conflicting with various hadronic
constraints. On the other hand, it is strongly constrained by leptonic
precision observables such as lepton universality test in the neutral and
charged currents. Treating all the lepton universality data in a consistent
way, we show how the current data constrain the parameter space of $m_A$ and
$\tan\beta$ for given degenerate masses of heavy Higgs bosons $H$ and $H^\pm$.
While no overlapping region is found at $1\sigma$, a sizable region is still
viable at $2\sigma$ for $H/H^\pm$ masses at around 200$\sim$400 GeV.Comment: 11 pages; v2: 14 pages, 1 figure, version to be published in JHE
Weyl holographic superconductor in the Lifshitz black hole background

We investigate analytically the properties of the Weyl holographic
superconductor in the Lifshitz black hole background. We find that the critical
temperature of the Weyl superconductor decreases with increasing Lifshitz
dynamical exponent, $z$, indicating that condensation becomes difficult. In
addition, it is found that the critical temperature and condensation operator
could be affected by applying the Weyl coupling, $\gamma$. Moreover, we compute
the critical magnetic field and investigate its dependence on the parameters
$\gamma$ and $z$. Finally, we show numerically that the Weyl coupling parameter
$\gamma$ and the Lifshitz dynamical exponent $z$ together control the size and
strength of the conductivity peak and the ratio of gap frequency over critical
temperature $\omega_{g}/T_{c}$.Comment: 25 pages, 22 figure
Asymptotically AdS spacetimes with a timelike Kasner singularity

Exact solutions to Einstein's equations for holographic models are presented
and studied. The IR geometry has a timelike cousin of the Kasner singularity,
which is the less generic case of the BKL (Belinski-Khalatnikov-Lifshitz)
singularity, and the UV is asymptotically AdS. This solution describes a
holographic RG flow between them. The solution's appearance is an interpolation
between the planar AdS black hole and the AdS soliton. The causality constraint
is always satisfied. The entanglement entropy and Wilson loops are discussed.
The boundary condition for the current-current correlation function and the
Laplacian in the IR is examined. There is no infalling wave in the IR, but
instead, there is a normalizable solution in the IR. In a special case, a
hyperscaling-violating geometry is obtained after a dimensional reduction.Comment: 22 pages, 3 figures, jheppub; v2: more details added; v3: minor
  corrections, title changed; original title: "Analytic anisotropic solutions
  for holography
The symmetric orbifold of N=2 minimal models

The large level limit of the N=2 minimal models that appear in the duality
with the N=2 supersymmetric higher spin theory on AdS_3 is shown to be a
natural subsector of a certain symmetric orbifold theory. We study the relevant
decompositions in both the untwisted and the twisted sector, and analyse the
structure of the higher spin representations in the twisted sector in some
detail. These results should help to identify the string background of which
the higher spin theory is expected to describe the leading Regge trajectory in
the tensionless limit.Comment: 32 page
Relative entropy of excited states in two dimensional conformal field
  theories

We study the relative entropy and the trace square distance, both of which
measure the distance between reduced density matrices of two excited states in
two dimensional conformal field theories. We find a general formula for the
relative entropy between two primary states with the same conformal dimension
in the limit of a single small interval and find that in this case the relative
entropy is proportional to the trace square distance. We check our general
formulae by calculating the relative entropy between two generalized free
fields and the trace square distance between the spin and disorder operators of
the critical Ising model. We also give the leading term of the relative entropy
in the small interval expansion when the two operators have different conformal
dimensions. This turns out to be universal when the CFT has no primaires
lighter than the stress tensor. The result reproduces the previously known
special cases.Comment: 29 pages, 1 figure, references adde
Exact WKB Analysis of N = 2 Gauge Theories

We study N = 2 supersymmetric gauge theories with gauge group SU(2) coupled
to fundamental flavours, covering all asymptotically free and conformal cases.
We re-derive, from the conformal field theory perspective, the differential
equations satisfied by omega deformed instanton partition functions. We confirm
their validity at leading order in one of the deformation parameters via a
saddle-point analysis of the partition function. In the semi-classical limit we
show that these differential equations take a form amenable to exact WKB
analysis. We compute the monodromy group associated to the differential
equations in terms of deformed and Borel resummed Seiberg-Witten data. For each
case, we study pairs of Stokes graphs that are related by flips and pops, and
show that the monodromy groups allow one to confirm the Stokes automorphisms
that arise as the phase of the deformation parameter is varied. Finally, we
relate the Borel resummed monodromies with the traditional Seiberg-Witten
variables in the semi-classical limit.Comment: 53 pages, 19 figure
All orders results for self-crossing Wilson loops mimicking double
  parton scattering

Loop-level scattering amplitudes for massless particles have singularities in
regions where tree amplitudes are perfectly smooth. For example, a $2\to4$
gluon scattering process has a singularity in which each incoming gluon splits
into a pair of gluons, followed by a pair of $2\to2$ collisions between the
gluon pairs. This singularity mimics double parton scattering because it occurs
when the transverse momentum of a pair of outgoing gluons vanishes. The
singularity is logarithmic at fixed order in perturbation theory. We exploit
the duality between scattering amplitudes and polygonal Wilson loops to study
six-point amplitudes in this limit to high loop order in planar ${\cal N}=4$
super-Yang-Mills theory. The singular configuration corresponds to the limit in
which a hexagonal Wilson loop develops a self-crossing. The singular terms are
governed by an evolution equation, in which the hexagon mixes into a pair of
boxes; the mixing back is suppressed in the planar (large $N_c$) limit. Because
the kinematic dependence of the box Wilson loops is dictated by (dual)
conformal invariance, the complete kinematic dependence of the singular terms
for the self-crossing hexagon on the one nonsingular variable is determined to
all loop orders. The complete logarithmic dependence on the singular variable
can be obtained through nine loops, up to a couple of constants, using a
correspondence with the multi-Regge limit. As a byproduct, we obtain a simple
formula for the leading logs to all loop orders. We also show that, although
the MHV six-gluon amplitude is singular, remarkably, the transcendental
functions entering the non-MHV amplitude are finite in the same limit, at least
through four loops.Comment: 64 pages, 12 figures, 1 ancillary file; v2: references added, minor
  typos corrected, corrected argument of NMHV finiteness in Section 2.1 and
  added supporting formulae in Appendix D; v3: minor typos corrected, corrected
  formulae (D.13)-(D.17) and the conclusions based on those equations; updated
  ancillary fil
Holographic Lifshitz fermions and exponentially suppressed spectral
  weight

The absence of fixed momentum excitations in a theory with Lifshitz scale
invariance gives rise to exponential suppression of spectral weight in the
low-frequency limit. In the holographic dual, this suppression arises as a
consequence of a tunneling barrier that decouples the horizon from the
boundary. We compute the spin-1/2 holographic Green's function and show that
the form of the barrier is identical to that of the scalar case. We furthermore
demonstrate that the suppression factor is universal in the $\hat\omega\to0$
limit where $\hat\omega=\omega/|\vec k|^z$. In particular, it depends only on
$\hat\omega$ and the critical exponent $z$, and is independent of scaling
dimension and spin.Comment: 19 pages, 1 figure, references added and comments on exponential
  suppression of spectral weight clarifie
Conformal Gauge-Yukawa Theories away From Four Dimensions

We present the phase diagram and associated fixed points for a wide class of
Gauge-Yukawa theories in $d=4+\epsilon$ dimensions. The theories we investigate
involve non-abelian gauge fields, fermions and scalars in the Veneziano-Witten
limit. The analysis is performed in steps, we start with QCD$_d$ and then we
add Yukawa interactions and scalars which we study at next-to- and
next-to-next-to-leading order. Interacting infrared fixed points naturally
emerge in dimensions lower than four while ultraviolet ones appear above four.
We also analyse the stability of the scalar potential for the discovered fixed
points. We argue for a very rich phase diagram in three dimensions while in
dimensions higher than four certain Gauge-Yukawa theories are ultraviolet
complete because of the emergence of an asymptotically safe fixed point.Comment: RevTeX, 2columns, 9 pages, 6 figure
Impact of Jet Veto Resummation on Slepton Searches

Several searches for new physics at the LHC require a fixed number of signal
jets, vetoing events with additional jets from QCD radiation. As the probed
scale of new physics gets much larger than the jet-veto scale, such jet vetoes
strongly impact the QCD perturbative series, causing nontrivial theoretical
uncertainties. We consider slepton pair production with 0 signal jets, for
which we perform the resummation of jet-veto logarithms and study its impact.
Currently, the experimental exclusion limits take the jet-veto cut into account
by extrapolating to the inclusive cross section using parton shower Monte
Carlos. Our results indicate that the associated theoretical uncertainties can
be large, and when taken into account have a sizeable impact already on present
exclusion limits. This is improved by performing the resummation to higher
order, which allows us to obtain accurate predictions even for high slepton
masses. For the interpretation of the experimental results to benefit from
improved theory predictions, it would be useful for the experimental analyses
to also provide limits on the unfolded visible 0-jet cross section.Comment: 29 pages, 11 figure
Diagonal form factors and hexagon form factors

We study the heavy-heavy-light (HHL) three-point functions in the planar N =
4 super-Yang- Mills theory using the recently proposed hexagon bootstrap
program [arXiv:1505.06745]. We prove the conjecture of Bajnok, Janik and
Wereszczynski [arXiv:1404.4556] on the polynomial L-dependence of HHL structure
constant up to the leading finite-size corrections, where L is the length of
the heavy operators. The proof is presented for a specific set-up but the
method can be applied to more general situations.Comment: Minor corrections are implemente
Relative Entropy, Mixed Gauge-Gravitational Anomaly and Causality

In this note we explored the holographic relative entropy in the presence of
the 5d Chern-Simons term, which introduces a mixed gauge-gravity anomaly to the
dual CFT. The theory trivially satisfies an entanglement first law. However, to
quadratic order in perturbations of the stress tensor $T$ and current density
$J$, there is a mixed contribution to the relative entropy bi-linear in $T$ and
$J$, signalling a potential violation of the positivity of the relative
entropy. Miraculously, the term vanishes up to linear order in a derivative
expansion. This prompted a closer inspection on a different consistency check,
that involves time-delay of a graviton propagating in a charged background,
scattered via a coupling supplied by the Chern-Simons term. The analysis
suggests that the time-delay can take either sign, potentially violating
causality for any finite value of the CS coupling.Comment: 21 pages, Details added, typos fixed, references updated; version to
  appear in JHE
Higher Gauge Theories from Lie n-algebras and Off-Shell Covariantization

We analyze higher gauge theories in various dimensions using a supergeometric
method based on a differential graded symplectic manifold, called a
QP-manifold, which is closely related to the BRST-BV formalism in gauge
theories. Extensions of the Lie 2-algebra gauge structure are formulated within
the Lie n-algebra induced by the QP-structure. We find that in 5 and 6
dimensions there are special extensions of the gauge algebra. In these cases, a
restriction of the gauge symmetry by imposing constraints on the auxiliary
gauge fields leads to a covariantized theory. As an example we show that we can
obtain an off-shell covariantized higher gauge theory in 5 dimensions, which is
similar to the one proposed in [1] (arxiv:1206.5643).Comment: 39 page
Correlation Functions of Sp(2n) Invariant Higher-Spin Systems

We study the general structure of correlation functions in an
Sp(2n)-invariant formulation of systems of an infinite number of higher-spin
fields. For n=4,8 and 16 these systems comprise the conformal higher-spin
fields in space-time dimensions D=4,6 and 10, respectively, while when n=2, one
deals with conventional D=3 conformal field theories of scalars and spinors. We
show that for n>2 the Sp(2n) symmetry and current conservation makes the
3-point correlators of two (rank-one or rank-two) conserved currents with a
scalar operator be that of free theory.This situation is analogous to the one
in conventional conformal field theories, where conservation of higher-spin
currents implies that the theories are free.Comment: 26 pages, some clarifications added, published versio
A Stereoscopic Look into the Bulk

We present the foundation for a holographic dictionary with depth perception.
The dictionary consists of natural CFT operators whose duals are simple,
diffeomorphism-invariant bulk operators. The CFT operators of interest are the
"OPE blocks," contributions to the OPE from a single conformal family. In
holographic theories, we show that the OPE blocks are dual at leading order in
1/N to integrals of effective bulk fields along geodesics or homogeneous
minimal surfaces in anti-de Sitter space. One widely studied example of an OPE
block is the modular Hamiltonian, which is dual to the fluctuation in the area
of a minimal surface. Thus, our operators pave the way for generalizing the
Ryu-Takayanagi relation to other bulk fields.
  Although the OPE blocks are non-local operators in the CFT, they admit a
simple geometric description as fields in kinematic space--the space of pairs
of CFT points. We develop the tools for constructing local bulk operators in
terms of these non-local objects. The OPE blocks also allow for conceptually
clean and technically simple derivations of many results known in the
literature, including linearized Einstein's equations and the relation between
conformal blocks and geodesic Witten diagrams.Comment: 43+10 pages, 21 figures, 3 appendices. As submitted to JHEP, typos
  correcte
Exorcising the Ostrogradsky ghost in coupled systems

The Ostrogradsky theorem implies that higher-derivative terms of a single
mechanical variable are either trivial or lead to additional, ghost-like
degrees of freedom. In this letter we systematically investigate how the
introduction of additional variables can remedy this situation. Employing a
Lagrangian analysis, we identify conditions on the Lagrangian to ensure the
existence of primary and secondary constraints that together imply the absence
of Ostrogradsky ghosts. We also show the implications of these conditions for
the structure of the equations of motion as well as possible redefinitions of
the variables. We discuss applications to analogous higher-derivative field
theories such as multi-Galileons and beyond Horndeski.Comment: 8 pages. v3: minor changes, matches version published in JHE
Classical irregular blocks, Hill's equation and PT-symmetric periodic
  complex potentials

The Schroedinger eigenvalue problems for the Whittaker-Hill potential
$Q_{2}(x)=\tfrac{1}{2} h^2\cos4x+4h\mu\cos2x$ and the periodic complex
potential $Q_{1}(x)=\tfrac{1}{4}h^2{\rm e}^{-4ix}+2h^2\cos2x$ are studied using
their realizations in two-dimensional conformal field theory (2dCFT). It is
shown that for the weak coupling (small) $h\in\mathbb{R}$ and non-integer
Floquet parameter $\nu\notin\mathbb{Z}$ spectra of hamiltonians
$H_{i}\!=\!-{\rm d}^2/{\rm d}x^2 + Q_{i}(x)$, $i=1,2$ and corresponding two
linearly independent eigenfunctions are given by the classical limit of the
"single flavor" and "two flavors" ($N_f=1,2$) irregular conformal blocks. It is
known that complex non-hermitian hamiltonians which are PT-symmetric (=
invariant under simultaneous parity P and time reversal T transformations) can
have real eigenvalues. The hamiltonian $H_{1}$ is PT-symmetric for
$h,x\in\mathbb{R}$. It is found that $H_{1}$ has a real spectrum in the weak
coupling region for $\nu\in\mathbb{R}\setminus\mathbb{Z}$. This fact in an
elementary way follows from a definition of the $N_f=1$ classical irregular
block. Thus, $H_{1}$ can serve as yet another new model for testing postulates
of PT-symmetric quantum mechanics.Comment: 23 pages, 1 figur