pinecone/core-2020-05-10-deduplication huggingface dataset:
S-duality, triangle groups and modular anomalies in N=2 SQCD

We study N = 2 superconformal theories with gauge group SU(N) and 2N
fundamental flavours in a locus of the Coulomb branch with a Z_N symmetry. In
this special vacuum, we calculate the prepotential, the dual periods and the
period matrix using equivariant localization. When the flavours are massless,
we find that the period matrix is completely specified by [N/2] effective
couplings. On each of these, we show that the S-duality group acts as a
generalized triangle group and that its hauptmodul can be used to write a
non-perturbatively exact relation between each effective coupling and the bare
one. For N = 2, 3, 4 and 6, the generalized triangle group is an arithmetic
Hecke group which contains a subgroup that is also a congruence subgroup of the
modular group PSL(2,Z). For these cases, we introduce mass deformations that
respect the symmetries of the special vacuum and show that the constraints
arising from S-duality make it possible to resum the instanton contributions to
the period matrix in terms of meromorphic modular forms which solve modular
anomaly equations.Comment: 50 pages, 1 figure; a few references added; to be published in JHE
Precursors, Gauge Invariance, and Quantum Error Correction in AdS/CFT

A puzzling aspect of the AdS/CFT correspondence is that a single bulk
operator can be mapped to multiple different boundary operators, or precursors.
By improving upon a recent model of Mintun, Polchinski, and Rosenhaus, we
demonstrate explicitly how this ambiguity arises in a simple model of the field
theory. In particular, we show how gauge invariance in the boundary theory
manifests as a freedom in the smearing function used in the bulk-boundary
mapping, and explicitly show how this freedom can be used to localize the
precursor in different spatial regions. We also show how the ambiguity can be
understood in terms of quantum error correction, by appealing to the
entanglement present in the CFT. The concordance of these two approaches
suggests that gauge invariance and entanglement in the boundary field theory
are intimately connected to the reconstruction of local operators in the dual
spacetime.Comment: 25 pages, 6 figure
Perturbative quantum gravity in double field theory

We study perturbative general relativity with a two-form and a dilaton using
the double field theory formulation which features explicit index factorisation
at the Lagrangian level. Explicit checks to known tree level results are
performed. In a natural covariant gauge a ghost-like scalar which contributes
even at tree level is shown to decouple consistently as required by
perturbative unitarity. In addition, a lightcone gauge is explored which
bypasses the problem altogether. Using this gauge to study BCFW on-shell
recursion, we can show that most of the D-dimensional tree level S-matrix of
the theory, including all pure graviton scattering amplitudes, is reproduced by
the double field theory. More generally, we argue that the integrand may be
reconstructed from its single cuts and provide limited evidence for off-shell
cancellations in the Feynman graphs. As a straightforward application of the
developed technology double field theory-like expressions for four field string
corrections are derived.Comment: 39 page
AdS/CFT prescription for angle-deficit space and winding geodesics

We present the holographic computation of the boundary two-point correlator
using the GKPW prescription for a scalar field in the AdS$_3$ space with a
conical defect. Generally speaking, a conical defect breaks conformal
invariance in the dual theory, however we calculate the classical Green
functions for a scalar field in the bulk with conical defect and use them to
compute the two-point correlator in the boundary theory. We compare the
obtained general expression with previous studies based on the geodesic
approximation. They are in good agreement for short correlators, and main
discrepancy comes in the region of long correlations. Meanwhile, in case of
$\mathbb{Z}_r$-orbifold, the GKPW result coincides with the one obtained via
geodesic images prescription and with the general result for the boundary
theory, which is conformal in this special case.Comment: Latex, 25 pages, 12 figures. v2: Typos corrected, a reference and few
  remarks added. Version published in JHE
Effective holographic theories of momentum relaxation and violation of
  conductivity bound

We generalize current holographic models with homogeneous breaking of
translation symmetry by incorporating higher derivative couplings, in the
spirit of effective field theories. Focusing on charge transport, we specialize
to two simple couplings between the charge and translation symmetry breaking
sectors. We obtain analytical charged black brane solutions and compute their
DC conductivity in terms of horizon data. We constrain the allowed values of
the couplings and note that the DC conductivity can vanish at zero temperature
for strong translation symmetry breaking, thus showing that in general there is
no lower bound on the conductivity.Comment: v3: Minor edits to match published version. v2: Typos corrected.
  Discussion and plots updated in section 4.2. Main conclusions unchanged. v1:
  26 pages, 7 figure
Thermal Corrections to R\'enyi entropies for Free Fermions

We calculate thermal corrections to R\'{e}nyi entropies for free massless
fermions on a sphere. More specifically, we take a free fermion on
$\mathbb{R}\times\mathbb{S}^{d-1}$ and calculate the leading thermal correction
to the R\'{e}nyi entropies for a cap like region with opening angle $2\theta$.
By expanding the density matrix in a Boltzmann sum, the problem of finding the
R\'{e}nyi entropies can be mapped to the problem of calculating a two point
function on an $n$ sheeted cover of the sphere. We follow previous work for
conformal field theories to map the problem on the sphere to a conical region
in Euclidean space. By using the method of images, we calculate the two point
function and recover the R\'{e}nyi entropies.Comment: 15 pages, 5 figure
BCJ Identities and $d$-Dimensional Generalized Unitarity

We present a set of relations between one-loop integral coefficients for
dimensionally regulated QCD amplitudes. Within dimensional regularization, the
combined use of color-kinematics duality and integrand reduction yields the
existence of relations between the integrand residues of partial amplitudes
with different orderings of the external particles. These relations can be
established for the cut-constructible contributions as well for the ones
responsible for rational terms. Starting from the general parametrization of
one-loop residues and applying Laurent expansion in order to extract the
coefficients of the amplitude decomposition in terms of master integrals, we
show that the full set of relations can be obtained by considering BCJ
identities between d-dimensional tree-levels. We provide explicit examples for
multi-gluon scattering amplitudes at one-loop.Comment: 23 pages, 13 figure
Higgs Pair Production: Choosing Benchmarks With Cluster Analysis

New physics theories often depend on a large number of free parameters. The
precise values of those parameters in some cases drastically affect the
resulting phenomenology of fundamental physics processes, while in others
finite variations can leave it basically invariant at the level of detail
experimentally accessible. When designing a strategy for the analysis of
experimental data in the search for a signal predicted by a new physics model,
it appears advantageous to categorize the parameter space describing the model
according to the corresponding kinematical features of the final state. A
multi-dimensional test statistic can be used to gauge the degree of similarity
in the kinematics of different models; a clustering algorithm using that metric
may then allow the division of the space into homogeneous regions, each of
which can be successfully represented by a benchmark point. Searches targeting
those benchmark points are then guaranteed to be sensitive to a large area of
the parameter space. In this document we show a practical implementation of the
above strategy for the study of non-resonant production of Higgs boson pairs in
the context of extensions of the standard model with anomalous couplings of the
Higgs bosons. A non-standard value of those couplings may significantly enhance
the Higgs pair production cross section, such that the process could be
detectable with the data that the Large Hadron Collider will collect in Run 2.Comment: Editorial changes, improvements in figures and changes in the
  appendi
Diphotons, New Vacuum Angles, and Strong CP

The Standard Model contains a well-understood, natural, spin-0 diphoton
resonance: the $\pi^0$. Numerous studies have pointed out that the hint of a
new diphoton resonance at 750 GeV could be a pion analog, identified with the
pseudo-Nambu-Goldstone boson of a chiral symmetry spontaneously broken by new
strong dynamics at the TeV scale. These "hypercolor" models are generically
expected to violate parity through a topological angle $\tilde\theta$. We
discuss the physics of $\tilde\theta$ and its impact on the phenomenology of
the new sector. We also describe some of the theoretical implications of a
nonzero $\tilde\theta$. In particular, $\tilde\theta$ can generate an ${\cal
O}(1)$ threshold correction to the QCD vacuum angle $\theta$ near the TeV
scale, sharply constraining ultraviolet solutions to the strong CP problem.
Alternatively, finding that $\tilde\theta$ is small may be interpreted as
evidence in favor of UV solutions to strong CP, particularly those based on
spontaneously broken P or CP symmetries.Comment: 23 pages, 6 figures. v2: references added, fig 1 update
A Charged Membrane Paradigm at Large D

We study the effective dynamics of black hole horizons in Einstein-Maxwell
theory in a large number of spacetime dimensions $D$. We demonstrate that
horizon dynamics may be recast as a well posed initial value problem for the
motion of a codimension one non gravitational membrane moving in flat space.
The dynamical degrees of freedom of this membrane are its shape, charge density
and a divergence free velocity field. We determine the equations that govern
membrane dynamics at leading order in the large $D$ expansion. Our derivation
of the membrane equations assumes that the solution preserves an SO$(D-p-2)$
isometry with $p$ held fixed as $D$ is taken to infinity. However we are able
to cast our final membrane equations into a completely geometric form that
makes no reference to this symmetry algebra.Comment: 48 pages, 10 pages appendix, Minor typographical errors corrected,
  comments added in section
Formation of caustics in k-essence and Horndeski theory

We study propagation of waves and appearance of caustics in k-essence and
galileon theories. First we show that previously known solutions for travelling
waves in k-essence and galileon models correspond to very specific fine-tuned
initial conditions. On the contrary, as we demonstrate by the method of
characteristics, generic initial conditions leads to a wave in k-essence which
ends up with formation of caustics. Finally, we find that any wave solution in
pure k-essence is also a solution for a galileon theory with the same k-essence
term. Thus in the Horndeski theory with a k-essence term formation of caustics
is generic. We discuss physical consequences of the caustics formation and
possible ways to cure the problem.Comment: 17 pages, 3 figures, v3: References added, appendix added with a
  tentative approach to resolve the caustic problem; v4: typos corrected,
  matches published versio
Evanescent ergosurfaces and ambipolar hyperkähler metrics

A supersymmetric solution of 5d supergravity may admit an ‘evanescent ergosurface’: a timelike hypersurface such that the canonical Killing vector field is timelike everywhere except on this hypersurface. The hyperkähler ‘base space’ of such a solution is ‘ambipolar’, changing signature from (+ + + +) to (− − − −) across a hypersurface. In this paper, we determine how the hyperkähler structure must degenerate at the hypersurface in order for the 5d solution to remain smooth. This leads us to a definition of an ambipolar hyperkähler manifold which generalizes the recently-defined notion of a ‘folded’ hyperkähler manifold. We prove that such manifolds can be constructed from ‘initial’ data prescribed on the hypersurface. We present an ‘initial value’ construction of supersymmetric solutions of 5d supergravity, in which such solutions are determined by data prescribed on a timelike hypersurface, both for the generic case and for the case of an evanescent ergosurface.This work was supported by ERC grant ERC-2011-StG 279363-HiDGR.This is the final version of the article. It first appeared from Springer via http://dx.doi.org/10.1007/JHEP04(2016)13
Additional Information on Heavy Quark Parameters from Charged Lepton
  Forward-Backward Asymmetry

The determination of $|V_{cb}|$ using inclusive and exclusive (semi-)leptonic
decays exhibits a long-standing tension of varying ${\cal O}(3 \sigma)$
significance. For the inclusive determination the decay rate is expanded in
$1/m_b$ using heavy quark expansion, and from moments of physical observables
the higher order heavy quark parameters are extracted from experimental data in
order to assess $|V_{cb}|$ from the normalisation. The drawbacks are high
correlations both theoretically as well as experimentally among these
observables. We will scrutinise the inclusive determination in order to add a
new and less correlated observable. This observable is related to the decay
angle of the charged lepton and can help to constrain the important heavy quark
parameters in a new way. It may validate the current seemingly stable
extraction of $|V_{cb}|$ from inclusive decays or hints to possible issues, and
even may be sensitive to New Physics operators
Bulk gauge and matter fields in nested warping: II. Symmetry Breaking
  and phenomenological consequences

Generalizing the Randall-Sundrum scenario to higher dimensions with nested
warpings has been shown to avoid the constraints besetting the former. In the
first paper of this series [JHEP 1509 (2015) 202], the Standard Model gauge and
fermion fields were extended into such a six-dimensional bulk and the
construction was shown to have several interesting and welcome features. In
this paper, we discuss the electroweak symmetry breaking, presenting a novel
Higgs localization mechanism that leads to interesting phenomenology in the
Higgs sector. Localizing the Higgs modifies the $Z_{\mu}$ and $W_{\mu}$ boson
wavefunctions, which leads to tree level changes in the oblique parameters.
Using these as well as the correction to low-energy four-Fermi operators, we
derive the constraints on our model and also discuss the gauge coupling
evolution therein. Amusingly, the model can naturally incorporate a Higgs
resonance in the 700--800 GeV range.Comment: 36 pages , 5 figure
Quantum Spectral Curve for a Cusped Wilson Line in N=4 SYM

We show that the Quantum Spectral Curve (QSC) formalism, initially formulated
for the spectrum of anomalous dimensions of all local single trace operators in
N=4 SYM, can be extended to the generalized cusp anomalous dimension for all
values of the parameters. We find that the large spectral parameter asymptotics
and some analyticity properties have to be modified, but the functional
relations are unchanged. As a demonstration, we find an all-loop analytic
expression for the first two nontrivial terms in the small |phi \pm theta|
expansion. We also present nonperturbative numerical results at generic angles
which match perfectly 4-loop perturbation theory and the classical string
prediction.
  The reformulation of the problem in terms of the QSC opens the possibility to
explore many open questions. We attach to this paper several Mathematica
notebooks which should facilitate future studies.Comment: 42 pages, 4 figures; supplementary Mathematica files are attache
Vector Dark Matter through a Radiative Higgs Portal

We study a model of spin-1 dark matter which interacts with the Standard
Model predominantly via exchange of Higgs bosons. We propose an alternative UV
completion to the usual Vector Dark Matter Higgs Portal, in which vector-like
fermions charged under SU(2)$_W \times$ U(1)$_Y$ and under the dark gauge
group, U(1)$^\prime$, generate an effective interaction between the Higgs and
the dark matter at one loop. We explore the resulting phenomenology and show
that this dark matter candidate is a viable thermal relic and satisfies Higgs
invisible width constraints as well as direct detection bounds.Comment: v2: published, udpated references, included minor changes to text 19
  pages, 6 figure
$U(1)$ current from the AdS/CFT: diffusion, conductivity and causality

For a holographically defined finite temperature theory, we derive an
off-shell constitutive relation for a global $U(1)$ current driven by a weak
external non-dynamical electromagnetic field. The constitutive relation
involves an all order gradient expansion resummed into three momenta-dependent
transport coefficient functions: diffusion, electric conductivity, and
"magnetic" conductivity. These transport functions are first computed
analytically in the hydrodynamic limit, up to third order in the derivative
expansion, and then numerically for generic values of momenta. We also compute
a diffusion memory function, which, as a result of all order gradient
resummation, is found to be causal.Comment: v1: 26 pages, 12 figures; v2: 29 pages, 9 multi-figures, revised
  section 6, added one summary(section 7) and one appendix, to be published in
  JHE
Grassmann Matrix Quantum Mechanics

We explore quantum mechanical theories whose fundamental degrees of freedom
are rectangular matrices with Grassmann valued matrix elements. We study
particular models where the low energy sector can be described in terms of a
bosonic Hermitian matrix quantum mechanics. We describe the classical curved
phase space that emerges in the low energy sector. The phase space lives on a
compact Kahler manifold parameterized by a complex matrix, of the type
discovered some time ago by Berezin. The emergence of a semiclassical bosonic
matrix quantum mechanics at low energies requires that the original Grassmann
matrices be in the long rectangular limit. We discuss possible holographic
interpretations of such matrix models which, by construction, are endowed with
a finite dimensional Hilbert space.Comment: 25 pages + appendice
Note on Integrability of Marginally Deformed ABJ(M) Theories

We study the anomalous dimensions of operators in the scalar sector of
\beta-deformed ABJ(M) theories. We show that the anomalous dimension matrix at
two-loop order gives an integrable Hamiltonian acting on an alternating SU(4)
spin chain with the spins at odd lattice sides in the fundamental
representation and the spins at even lattices in the anti-fundamental
representation. We get a set of $\beta$-deformed Bethe ansatz equations which
give the eigenvalues of Hamiltonian of this deformed spin chain system. Based
on our computations, we also extend our study to non-supersymmetric
three-parameter $\gamma$-deformation of ABJ(M) theories and find that the
corresponding Hamiltonian is the same as the one in \beta-deformed case at
two-loop level in the scalar sector.Comment: 22 pages, 7 figures, minor change
3d-3d Correspondence Revisited

In fivebrane compactifications on 3-manifolds, we point out the importance of
all flat connections in the proper definition of the effective 3d N=2 theory.
The Lagrangians of some theories with the desired properties can be constructed
with the help of homological knot invariants that categorify colored Jones
polynomials. Higgsing the full 3d theories constructed this way recovers
theories found previously by Dimofte-Gaiotto-Gukov. We also consider the
cutting and gluing of 3-manifolds along smooth boundaries and the role played
by all flat connections in this operation.Comment: 43 pages + 1 appendix, 6 figures Version 2: new appendix on flat
  connections in the 3d-3d correspondenc
Thermodynamics, Phase Transition and Quasinormal modes with Weyl
  corrections

We study charged black holes in D dimensional AdS space, in the presence of
four derivative Weyl correction. We obtain the black hole solution
perturbatively up to first as well as second order in the Weyl coupling, and
show that first law of black hole thermodynamics is satisfied in all
dimensions. We study its thermodynamic phase transition and then calculate the
quasinormal frequencies of the massless scalar field perturbation. We find
that, here too, the quasinormal frequencies capture the essence of black hole
phase transition. Few subtleties near the second order critical point are
discussed.Comment: 1+26 pages, 16 figure
Light Stop Mass Limits from Higgs Rate Measurements in the MSSM: Is MSSM
  Electroweak Baryogenesis Still Alive After All?

We investigate the implications of the Higgs rate measurements from Run 1 of
the LHC for the mass of the light scalar top partner (stop) in the Minimal
Supersymmetric Standard Model (MSSM). We focus on light stop masses, and we
decouple the second, heavy stop and the gluino to the multi-TeV range in order
to obtain a Higgs mass of around 125 GeV. We derive lower mass limits for the
light stop within various scenarios, taking into account the effects of a
possibly light scalar tau partner (stau) or chargino on the Higgs rates, of
additional Higgs decays to undetectable new physics, as well as of
non-decoupling of the heavy Higgs sector. Under conservative assumptions, the
stop can be as light as 123 GeV. Relaxing certain theoretical and experimental
constraints, such as vacuum stability and model-dependent bounds on sparticle
masses from LEP, we find that the light stop mass can be as light as 116 GeV.
Our indirect limits are complementary to direct limits on the light stop mass
from collider searches and have important implications for electroweak
baryogenesis in the MSSM as a possible explanation for the observed
matter-antimatter asymmetry of the Universe.Comment: 55 pages, 16 figures, 3 tables; v2: minor changes, matches the
  published version in JHE
The renormalized Hamiltonian truncation method in the large $E_T$
  expansion

Hamiltonian Truncation Methods are a useful numerical tool to study strongly
coupled QFTs. In this work we present a new method to compute the exact
corrections, at any order, in the Hamiltonian Truncation approach presented by
Rychkov et al. in Refs. [1-3]. The method is general but as an example we
calculate the exact $g^2$ and some of the $g^3$ contributions for the $\phi^4$
theory in two dimensions. The coefficients of the local expansion calculated in
Ref. [1] are shown to be given by phase space integrals. In addition we find
new approximations to speed up the numerical calculations and implement them to
compute the lowest energy levels at strong coupling. A simple diagrammatic
representation of the corrections and various tests are also introduced.Comment: JHEP version, typos fixed in Appendix and eq. (23
A Schr\"odinger approach to Newton-Cartan and Ho\v{r}ava-Lifshitz
  gravities

We define a `non-relativistic conformal method', based on a Schr\"odinger
algebra with critical exponent z = 2, as the non-relativistic version of the
relativistic conformal method. An important ingredient of this method is the
occurrence of a complex compensating scalar field that transforms under both
scale and central charge transformations. We apply this non-relativistic method
to derive the curved space Newton-Cartan gravity equations of motion with
twistless torsion. Moreover, we reproduce z = 2 Ho\v{r}ava-Lifshitz gravity by
classifying all possible Schr\"odinger invariant scalar field theories of a
complex scalar up to second order in time derivatives.Comment: 35 pages + appendice