pinecone/core-2020-05-10-deduplication huggingface dataset:
Complete random matrix classification of SYK models with
  $\mathcal{N}=0$, $1$ and $2$ supersymmetry

We present a complete symmetry classification of the Sachdev-Ye-Kitaev (SYK)
model with $\mathcal{N}=0$, $1$ and $2$ supersymmetry (SUSY) on the basis of
the Altland-Zirnbauer scheme in random matrix theory (RMT). For $\mathcal{N}=0$
and $1$ we consider generic $q$-body interactions in the Hamiltonian and find
RMT classes that were not present in earlier classifications of the same model
with $q=4$. We numerically establish quantitative agreement between the
distributions of the smallest energy levels in the $\mathcal{N}=1$ SYK model
and RMT. Furthermore, we delineate the distinctive structure of the
$\mathcal{N}=2$ SYK model and provide its complete symmetry classification
based on RMT for all eigenspaces of the fermion number operator. We corroborate
our classification by detailed numerical comparisons with RMT and thus
establish the presence of quantum chaotic dynamics in the $\mathcal{N}=2$ SYK
model. We also introduce a new SYK-like model without SUSY that exhibits hybrid
properties of the $\mathcal{N}=1$ and $\mathcal{N}=2$ SYK models and uncover
its rich structure both analytically and numerically.Comment: 42 pages, 12 figures. v2: refs adde
Displaced lepton flavour violating signatures of right-handed sneutrinos in U(1)′ supersymmetric models

We consider a U(1)' extended supersymmetric model with a right-handed neutrino superfield which can generate light neutrino mass by Type I seesaw mechanism. The lighter superpartner of the right-handed neutrino could be the scalar dark matter. These right-handed sneutrinos can come from the decay of (Z) over tilde', superpartner of the extra gauge boson Z'. Left-right handed sneutrino mixings affect their decays further, giving rise to displaced "lepton flavour violating" signatures. A wino-like chargino NLSP (next to lightest supersymmetric particle) creates even more interesting decay topology. We investigate such displaced multi-leptonic final states with "lepton flavour violation" from the supersymmetric cascade decays of third generation squarks at the LHC
Tree-level correlations in the strong field regime

We consider the correlation function of an arbitrary number of local
observables in quantum field theory. We show that, at tree level in the strong
field regime, these correlations arise solely from fluctuations in the initial
state. We obtain the general expression of these correlation functions in terms
of the classical solution of the field equation of motion and its derivatives
with respect to its initial conditions, that can be arranged graphically as the
sum of labeled trees where the nodes are the individual observables, and the
links are pairs of derivatives acting on them. For 3-point (and higher)
correlation functions, there are additional tree-level terms beyond from the
strong field approximation, generated throughout the evolution of the system.Comment: 37 page
Interface Contributions to Topological Entanglement in Abelian
  Chern-Simons Theory

We study the entanglement entropy between (possibly distinct) topological
phases across an interface using an Abelian Chern-Simons description with
topological boundary conditions (TBCs) at the interface. From a microscopic
point of view, these TBCs correspond to turning on particular gapping
interactions between the edge modes across the interface. However, in studying
entanglement in the continuum Chern-Simons description, we must confront the
problem of non-factorization of the Hilbert space, which is a standard property
of gauge theories. We carefully define the entanglement entropy by using an
extended Hilbert space construction directly in the continuum theory. We show
how a given TBC isolates a corresponding gauge invariant state in the extended
Hilbert space, and hence compute the resulting entanglement entropy. We find
that the sub-leading correction to the area law remains universal, but depends
on the choice of topological boundary conditions. This agrees with the
microscopic calculation of \cite{Cano:2014pya}. Additionally, we provide a
replica path integral calculation for the entropy. In the case when the
topological phases across the interface are taken to be identical, our
construction gives a novel explanation of the equivalence between the
left-right entanglement of (1+1)d Ishibashi states and the spatial entanglement
of (2+1)d topological phases.Comment: 36 pages, 7 figures, two appendice
Comments on the Random Thirring Model

The Thirring model with random couplings is a translationally invariant
generalisation of the SYK model to 1+1 dimensions, which is tractable in the
large N limit. We compute its two point function, at large distances, for any
strength of the random coupling. For a given realisation, the couplings contain
both irrelevant and relevant marginal operators, but statistically, in the
large N limit, the random couplings are overall always marginally irrelevant,
in sharp distinction to the usual Thirring model. We show the leading term to
the $\beta$ function in conformal perturbation theory, which is quadratic in
the couplings, vanishes, while its usually subleading cubic term matches our RG
flow.Comment: 27 pages. Minor change
QCD corrections to massive color-octet vector boson pair production

This paper describes the calculation of the next-to-leading order (NLO) QCD
corrections to massive color-octet vector boson pair production at hadron
colliders. As a concrete framework, a two-site coloron model with an internal
parity is chosen, which can be regarded as an effective low-energy
approximation of Kaluza-Klein gluon physics in universal extra dimensions. The
renormalization procedure involves several subtleties, which are discussed in
detail. The impact of the NLO corrections is relatively modest, amounting to a
reduction of 11-14% in the total cross-section, but they significantly reduce
the scale dependence of the LO result
Maximally rotating waves in AdS and on spheres

We study the cubic wave equation in AdS_(d+1) (and a closely related cubic
wave equation on S^3) in a weakly nonlinear regime. Via time-averaging, these
systems are accurately described by simplified infinite-dimensional quartic
Hamiltonian systems, whose structure is mandated by the fully resonant spectrum
of linearized perturbations. The maximally rotating sector, comprising only the
modes of maximal angular momentum at each frequency level, consistently
decouples in the weakly nonlinear regime. The Hamiltonian systems obtained by
this decoupling display remarkable periodic return behaviors closely analogous
to what has been demonstrated in recent literature for a few other related
equations (the cubic Szego equation, the conformal flow, the LLL equation).
This suggests a powerful underlying analytic structure, such as integrability.
We comment on the connection of our considerations to the Gross-Pitaevskii
equation for harmonically trapped Bose-Einstein condensates.Comment: 17 page
Intrinsic non-commutativity of closed string theory

We show that the proper interpretation of the cocycle operators appearing in
the physical vertex operators of compactified strings is that the closed string
target is non-commutative. We track down the appearance of this
non-commutativity to the Polyakov action of the flat closed string in the
presence of translational monodromies (i.e., windings). In view of the
unexpected nature of this result, we present detailed calculations from a
variety of points of view, including a careful understanding of the
consequences of mutual locality in the vertex operator algebra, as well as a
detailed analysis of the symplectic structure of the Polyakov string. We also
underscore why this non-commutativity was not emphasized previously in the
existing literature. This non-commutativity can be thought of as a central
extension of the zero-mode operator algebra, an effect set by the string length
scale -- it is present even in trivial backgrounds. Clearly, this result
indicates that the $\alpha'\to 0$ limit is more subtle than usually assumed.Comment: 22 page
On the Importance of Electroweak Corrections for B Anomalies

The growing experimental indication of Lepton Flavour Universality Violation
(LFUV) both in charged- and neutral-current semileptonic B-decays, has
triggered many theoretical interpretations of such non-standard phenomena.
Focusing on popular scenarios where the explanation of these anomalies requires
New Physics at the TeV scale, we emphasise the importance of including
electroweak corrections to obtain trustable predictions for the models in
question. We find that the most important quantum effects are the modifications
of the leptonic couplings of the W and Z vector bosons and the generation of a
purely leptonic effective Lagrangian. As a result, the tight experimental
bounds on Z-pole observables and tau decays challenge an explanation of the
current non-standard data. We illustrate how these effects arise, by providing
a detailed discussion of the running and matching procedure which is necessary
to derive the low-energy effective Lagrangian.Comment: 38 pages, 7 figures. V2: Text improvments. Published versio
The light asymptotic limit of conformal blocks in $\mathcal{N}=1$ super
  Liouville field theory

Analytic expressions for the two dimensional $\mathcal{N}=1$ SLFT blocks in
the light semi-classical limit are found for both Neveu-Schwarz and Ramond
sectors. The calculations are done by using the duality between $SU(2)$
$\mathcal{N}=2$ super-symmetric gauge theories living on $R^4/Z_2$ space and
two dimensional $\mathcal{N}=1$ super Liouville field theory. It is shown that
in the light asymptotic limit only a restricted set of Young diagrams
contribute to the partition function. This enables us to sum up the instanton
series explicitly and find closed expressions for the corresponding
$\mathcal{N}=1$ SLFT four point blocks in the light asymptotic limit.Comment: 26 pages, 5 figure
The static hard-loop gluon propagator to all orders in anisotropy

We calculate the (semi-)static hard-loop self-energy and propagator using the
Keldysh formalism in a momentum-space anisotropic quark-gluon plasma. The
static retarded, advanced, and Feynman (symmetric) self-energies and
propagators are calculated to all orders in the momentum-space anisotropy
parameter $\xi$. For the retarded and advanced self-energies/propagators, we
present a concise derivation and comparison with previously-obtained results
and extend the calculation of the self-energies to next-to-leading order in the
gluon energy, $\omega$. For the Feynman self-energy/propagator, we present new
results which are accurate to all orders in $\xi$. We compare our exact results
with prior expressions for the Feynman self-energy/propagator which were
obtained using Taylor-expansions around an isotropic state. We show that,
unlike the Taylor-expanded results, the all-orders expression for the Feynman
propagator is free from infrared singularities. Finally, we discuss the
application of our results to the calculation of the imaginary-part of the
heavy-quark potential in an anisotropic quark-gluon plasma.Comment: 22 page
How light a higgsino or a wino dark matter can become in a compressed
  scenario of MSSM

Higgsinos and Wino have strong motivations for being Dark Matter (DM)
candidates in supersymmetry, but their annihilation cross sections are quite
large. For thermal generation and a single component DM setup the higgsinos or
wino may have masses of around 1 or 2-3 TeV respectively. For such DM
candidates, a small amount of slepton coannihilation may decrease the effective
DM annihilation cross section. This, in turn reduces the lower limit of the
relic density satisfied DM mass by more than 50%. Almost a similar degree of
reduction of the same limit is also seen for squark coannihilations. However,
on the contrary, for near degeneracy of squarks and higgsino DM, near its
generic upper limit, the associated coannihilations may decrease the relic
density, thus extending the upper limit towards higher DM masses. We also
compute the direct and indirect detection signals. Here, because of the
quasi-mass degeneracy of the squarks and the LSP, we come across a situation
where squark exchange diagrams may contribute significantly or more strongly
than the Higgs exchange contributions in the spin-independent direct detection
cross section of DM. For the higgsino-DM scenario, we observe that a DM mass of
600 GeV to be consistent with WMAP/PLANCK and LUX data for sfermion
coannihilations. The LUX data itself excludes the region of 450 to 600 GeV, by
a half order of magnitude of the cross-section, well below the associated
uncertainty. The similar combined lower limit for a wino DM is about 1.1 TeV.
There is hardly any collider bound from the LHC for squarks and sleptons in
such a compressed scenario where sfermion masses are close to the mass of a
higgsino/wino LSP.Comment: Modified version with added explanations, with no essential change in
  results or conclusion. 39 pages, 12 figures, 1 tabl
On Irregular Singularity Wave Functions and Superconformal Indices

We generalize, in a manifestly Weyl-invariant way, our previous expressions
for irregular singularity wave functions in two-dimensional SU(2) q-deformed
Yang-Mills theory to SU(N). As an application, we give closed-form expressions
for the Schur indices of all (A_{N-1}, A_{N(n-1)-1}) Argyres-Douglas (AD)
superconformal field theories (SCFTs), thus completing the computation of these
quantities for the (A_N, A_M) SCFTs. With minimal effort, our wave functions
also give new Schur indices of various infinite sets of "Type IV" AD theories.
We explore the discrete symmetries of these indices and also show how highly
intricate renormalization group (RG) flows from isolated theories and conformal
manifolds in the ultraviolet to isolated theories and (products of) conformal
manifolds in the infrared are encoded in these indices. We compare our flows
with dimensionally reduced flows via a simple "monopole vev RG" formalism.
Finally, since our expressions are given in terms of concise Lie algebra data,
we speculate on extensions of our results that might be useful for probing the
existence of hypothetical SCFTs based on other Lie algebras. We conclude with a
discussion of some open problems.Comment: 34 pages, 2 figure
On Three-Dimensional Quiver Gauge Theories of Type B

We study three-dimensional supersymmetric quiver gauge theories with a
non-simply laced global symmetry primarily focusing on framed affine $B_{N}$
quiver theories. Using a supersymmetric partition function on a three sphere,
and its transformation under S-duality, we study the three-dimensional ADHM
quiver for $SO(2N+1)$ instantons with a half-integer Chern-Simons coupling. The
theory after S-duality has no Lagrangian, and can not be represented by a
single quiver, however its partition function can be conveniently described by
a collection of framed affine ${B}_{N}$ quivers. This correspondence can be
conjectured to generalize three-dimensional mirror symmetry to theories with
nontrivial Chern-Simons terms. In addition, we propose a formula for the
superconformal index of a theory described by a framed affine $B_N$ quiver.Comment: 39 pages, 7 figure
A global view on the Higgs self-coupling

The Higgs self-coupling is notoriously intangible at the LHC. It was recently
proposed to probe the trilinear Higgs interaction through its radiative
corrections to single-Higgs processes. This approach however requires to
disentangle these effects from those associated to deviations of other
Higgs-couplings to fermions and gauge bosons. We show that a global fit
exploiting only single-Higgs inclusive data suffers from degeneracies that
prevent one from extracting robust bounds on each individual coupling. We show
how the inclusion of double-Higgs production via gluon fusion, and the use of
differential measurements in the associated single-Higgs production channels
WH, ZH and ttH, can help to overcome the deficiencies of a global
Higgs-couplings fit. In particular, we bound the variations of the Higgs
trilinear self-coupling relative to its SM value to the interval [0.1, 2.3] at
68% confidence level at the high-luminosity LHC, and we discuss the robustness
of our results against various assumptions on the experimental uncertainties
and the underlying new physics dynamics. We also study how to obtain a
parametrically enhanced deviation of the Higgs self-couplings and we estimate
how large this deviation can be in a self-consistent effective field theory
framework.Comment: 41 pages, 6 figures; v2: comments and references added, minor typos
  corrected, matches published versio
Refined toric branes, surface operators and factorization of generalized
  Macdonald polynomials

We find new universal factorization identities for generalized Macdonald
polynomials on the topological locus. We prove the identities (which include
all previously known forumlas of this kind) using factorization identities for
matrix model averages, which are themselves consequences of Ding-Iohara-Miki
constraints. Factorized expressions for generalized Macdonald polynomials are
identified with refined topological string amplitudes containing a toric brane
on an intermediate preferred leg, surface operators in gauge theory and certain
degenerate CFT vertex operators.Comment: 14 pages, 6 figures, typos corrected, missing figure and references
  adde
Phase Transitions of a (Super) Quantum Mechanical Matrix Model with a
  Chemical Potential

In this paper, we study the finite-temperature matrix quantum mechanics with
chemical potential term linear in the single trace of U(N) matrices, via Monte
Carlo simulation. In the bosonic case, we exhibit the existence of the
Gross-Witten-Wadia (GWW) type third-order phase transition. We also extend our
studies to the model with the fermionic degrees of freedom employing the
non-lattice simulation via Fourier expansion, and explore the possibilities
that there is a phase transition between the gapped and ungapped phase both in
the absence and presence of the chemical potential term. We make a comparison
of the phase diagram between the bosonic and fermionic cases.Comment: 20 pages, 28 figures, v2: some minor typos correcte
Massive Galileon Positivity Bounds

The EFT coefficients in any gapped, scalar, Lorentz invariant field theory
must satisfy positivity requirements if there is to exist a local, analytic
Wilsonian UV completion. We apply these bounds to the tree level scattering
amplitudes for a massive Galileon. The addition of a mass term, which does not
spoil the non-renormalization theorem of the Galileon and preserves the
Galileon symmetry at loop level, is necessary to satisfy the lowest order
positivity bound. We further show that a careful choice of successively higher
derivative corrections are necessary to satisfy the higher order positivity
bounds. There is then no obstruction to a local UV completion from
considerations of tree level 2-to-2 scattering alone. To demonstrate this we
give an explicit example of such a UV completion.Comment: 31 page
Bootstrapping the QCD soft anomalous dimension

The soft anomalous dimension governs the infrared singularities of scattering
amplitudes to all orders in perturbative quantum field theory, and is a crucial
ingredient in both formal and phenomenological applications of non-abelian
gauge theories. It has recently been computed at three-loop order for massless
partons by explicit evaluation of all relevant Feynman diagrams. In this paper,
we show how the same result can be obtained, up to an overall numerical factor,
using a bootstrap procedure. We first give a geometrical argument for the fact
that the result can be expressed in terms of single-valued harmonic
polylogarithms. We then use symmetry considerations as well as known properties
of scattering amplitudes in collinear and high-energy (Regge) limits to
constrain an ansatz of basis functions. This is a highly non-trivial
cross-check of the result, and our methods pave the way for greatly simplified
higher-order calculations.Comment: 37 pages, 1 figur
An Etude on Global Vacuum Energy Sequester

Recently two of the authors proposed a mechanism of vacuum energy sequester
as a means of protecting the observable cosmological constant from quantum
radiative corrections. The original proposal was based on using global Lagrange
multipliers, but later a local formulation was provided. Subsequently other
interesting claims of a different non-local approach to the cosmological
constant problem were made, based again on global Lagrange multipliers. We
examine some of these proposals and find their mutual relationship. We explain
that the proposals which do not treat the cosmological constant counterterm as
a dynamical variable require fine tunings to have acceptable solutions.
Furthermore, the counterterm often needs to be retuned at every order in the
loop expansion to cancel the radiative corrections to the cosmological
constant, just like in standard GR. These observations are an important
reminder of just how the proposal of vacuum energy sequester avoids such
problems.Comment: 18 pages LaTe
Simplified Models for Displaced Dark Matter Signatures

We propose a systematic programme to search for long-lived neutral particle
signatures through a minimal set of displaced searches requiring significant
missing transverse energy (dMETs).
  Our approach is to extend the well-established dark matter simplified models
to include displaced vertices. The dark matter simplified models are used to
describe the primary production vertex. A displaced secondary vertex,
characterised by the mass of the long-lived particle and its lifetime, is added
for the displaced signature. We show how these models can be motivated by, and
mapped onto, complete models such as gauge-mediated SUSY breaking and models of
neutral naturalness. We also outline how this approach may be used to extend
other simplified models to incorporate displaced signatures and to characterise
searches for long-lived charged particles. Displaced vertices are a striking
signature with virtually no backgrounds from SM processes, and thus provide an
excellent target for the high-luminosity run of the Large Hadron Collider. The
proposed models and searches provide a first step towards a systematic
broadening of the displaced dark matter search programme
Analyticity in Spin in Conformal Theories

Conformal theory correlators are characterized by the spectrum and three-
point functions of local operators. We present a formula which extracts this
data as an analytic function of spin. In analogy with a classic formula due to
Froissart and Gribov, it is sensitive only to an "imaginary part" which appears
after analytic continuation to Lorentzian signature, and it converges thanks to
recent bounds on the high-energy Regge limit. At large spin, substituting in
cross-channel data, the formula yields 1/J expansions with controlled errors.
In large-N theories, the imaginary part is saturated by single-trace operators.
For a sparse spectrum, it manifests the suppression of bulk higher-derivative
interactions that constitutes the signature of a local gravity dual in
Anti-de-Sitter space.Comment: 33+12 pages, 6 figures. Typos fixed, published versio