pinecone/core-2020-05-10-deduplication huggingface dataset:
Twisted Hilbert spaces of 3d supersymmetric gauge theories.

We study aspects of 3d   N=2  supersymmetric gauge theories on the product of a line and a Riemann surface. Performing a topological twist along the Riemann surface leads to an effective supersymmetric quantum mechanics on the line. We propose a construction of the space of supersymmetric ground states as a graded vector space in terms of a certain cohomology of generalized vortex moduli spaces on the Riemann surface. This exhibits a rich dependence on deformation parameters compatible with the topological twist, including superpotentials, real mass parameters, and background vector bundles associated to flavour symmetries. By matching spaces of supersymmetric ground states, we perform new checks of 3d abelian mirror symmetry
A note on entanglement edge modes in Chern Simons theory

We elaborate on the extended Hilbert space factorization of Chern Simons
theory and show how this arises naturally from a proper regularization of the
entangling surface in the Euclidean path integral. The regularization amounts
to stretching the entangling surface into a co-dimension one surface which
hosts edge modes of the Chern Simons theory when quantized on a spatial
subregion. The factorized state is a regularized Ishibashi state and reproduces
the well known topological entanglement entropies. We illustrate how the same
factorization arises from the glueing of two spatial subregions via the
entangling product defined by Donnelly and Freidel.Comment: Some typos fixe
Exotic branes in Exceptional Field Theory: the SL(5) duality group

We study how exotic branes, i.e. branes whose tensions are proportional to
$g_s^{-\alpha}$, with $\alpha>2$, are realised in Exceptional Field Theory
(EFT). The generalised torsion of the Weitzenb\"ock connection of the
$\operatorname{SL}(5)$ EFT which, in the language of gauged supergravity
describes the embedding tensor, is shown to classify the exotic branes whose
magnetic fluxes can fit into four internal dimensions. By analysing the weight
diagrams of the corresponding representations of $\operatorname{SL}(5)$ we
determine the U-duality orbits relating geometric and non-geometric fluxes. As
a further application of the formalism we consider the Kaluza-Klein monopole of
11D supergravity and rotate it into the exotic $6^{(3,1)}$-brane.Comment: 38 pages + Appendi
Light Signals from a Lighter Higgs

With the Higgs search program already quite mature, there is the exciting
possibility of discovering a new particle with rates near that of the SM Higgs.
We consider models with a signal in $\gamma \gamma$ below the SM Higgs mass,
taking the recent $2.9\, \sigma$ (local) CMS excess at 95 GeV as a target. We
discuss singlet models with additional vectorlike matter, but argue that a
Type-I two Higgs doublet model provides a more economical scenario. In such a
setup, going into regions of moderate-to-strong fermiophobia, the enhanced
$\gamma \gamma$ branching ratio allows signals from $VH$+VBF production to
yield $\sigma \times BR_{\gamma\gamma} $ comparable to total SM rates. Light
$H$ production can be dominated via rare top decays $t \rightarrow b H^+
\rightarrow b W^{*} H$, which provides an alternate explanation of the excess.
We consider this in the context of other Higgs anomalies, namely the LEP Higgs
excess near the same mass, and excesses in $t\bar{t}h$ searches at Tevatron and
LHC. We find that with $140\, \mathrm{GeV} < m_{H^+} < 160\, \mathrm{GeV}$,
$\tan \beta \sim 5$ and a coupling to gauge bosons of $\sin^2 \delta \sim 0.1$,
such a scenario can produce all the excesses simultanously, where $tth$ arise
from contamination from the rare top decays, as previously proposed. An
implication of the Type-I scenario is that any $\gamma \gamma$ excess should be
associated with additional elements that could reduce background, including
$b$-jets, forward jets or signs of vector boson production.Comment: 15 pages, 3 figure
Collider phenomenology of Hidden Valley mediators of spin 0 or 1/2 with
  semivisible jets

Many models of Beyond the Standard Model physics contain particles that are
charged under both Standard Model and Hidden Valley gauge groups, yet very
little effort has been put into establishing their experimental signatures. We
provide a general overview of the collider phenomenology of spin 0 or 1/2
mediators with non-trivial gauge numbers under both the Standard Model and a
single new confining group. Due to the possibility of many unconventional
signatures, the focus is on direct production with semivisible jets. For the
mediators to be able to decay, a global $U(1)$ symmetry must be broken. This is
best done by introducing a set of operators explicitly violating this symmetry.
We find that there is only a finite number of such renormalizable operators and
that the phenomenology can be classified into five distinct categories. We show
that large regions of the parameter space are already excluded, while others
are unconstrained by current search strategies. We also discuss how searches
could be modified to better probe these unconstrained regions by exploiting
special properties of semivisible jets.Comment: 40 pages, 11 figures, published versio
4d $\mathcal{N} = 1$/2d Yang-Mills Duality in Holography

We study the supergravity dual of four-dimensional ${\mathcal{N}=1}$
superconformal field theories arising from wrapping M5-branes on a K\"ahler
two-cycle inside a Calabi-Yau threefold. We derive an effective
three-dimensional theory living on the cobordism between the infrared and
ultraviolet Riemann surfaces, describing the renormalization group flows
between AdS$_7$ and AdS$_{5}$ as well as between different AdS$_{5}$ fixed
points. The realization of this system as an effective theory is convenient to
make connections to known theories, and we show that upon imposing (physical)
infrared boundary conditions, the effective three-dimensional theory further
reduces to two-dimensional $SU(2)$ Yang-Mills theory on the Riemann surface,
thus deriving a correspondence between the gravity duals of a class of
$\mathcal{N}=1$ superconformal field theories arising from wrapping M5-branes
on a Riemann surface and two-dimensional Yang-Mills theory on the same Riemann
surface.Comment: 18 pages, 2 figure
On $p$-adic string amplitudes in the limit $p$ approaches to one

In this article we discuss the limit $p$ approaches to one of tree-level
$p$-adic open string amplitudes and its connections with the topological zeta
functions. There is empirical evidence that $p$-adic strings are related to the
ordinary strings in the $p \to 1$ limit. Previously, we established that
$p$-adic Koba-Nielsen string amplitudes are finite sums of multivariate Igusa's
local zeta functions, consequently, they are convergent integrals that admit
meromorphic continuations as rational functions. The meromorphic continuation
of local zeta functions has been used for several authors to regularize
parametric Feynman amplitudes in field and string theories. Denef and Loeser
established that the limit $p \to 1$ of a Igusa's local zeta function gives
rise to an object called topological zeta function. By using Denef-Loeser's
theory of topological zeta functions, we show that limit $p \to 1$ of
tree-level $p$-adic string amplitudes give rise to certain amplitudes, that we
have named Denef-Loeser string amplitudes. Gerasimov and Shatashvili showed
that in limit $p \to 1$ the well-known non-local effective Lagrangian
(reproducing the tree-level $p$-adic string amplitudes) gives rise to a simple
Lagrangian with a logarithmic potential. We show that the Feynman amplitudes of
this last Lagrangian are precisely the amplitudes introduced here. Finally, the
amplitudes for four and five points are computed explicitly.Comment: 23 pp. minor changes, Version to be published in JHE
K\"ahler Uniformization from Holographic Renormalization Group Flows of
  M5-branes

In this paper, we initiate the study of holographic renormalization group
flows acting on the metric of four-manifolds. In particular, we derive a set of
equations which govern the evolution of a generic K\"ahler four-manifold along
the renormalization group flow in seven-dimensional gauged supergravity. The
physical eleven-dimensional M-theory setup is given by a stack of M5-branes
wrapping a calibrated K\"ahler four-cycle inside a Calabi-Yau threefold. By
topologically twisting the theory in the ultraviolet, we may choose an
arbitrary K\"ahler metric on the four-cycle as an asymptotic boundary
condition. Along the renormalization group flow, the metric moduli are largely
washed out, and at the infrared fixed point we will reach a K\"ahler-Einstein
metric, which is the expected uniformization behavior.Comment: 42 page
Constraints on anharmonic corrections of fuzzy dark matter

he cold dark matter (CDM) scenario has proved successful in cosmology. However, we lack a fundamental understanding of its microscopic nature. Moreover, the apparent disagreement between CDM predictions and subgalactic-structure observations has prompted the debate about its behaviour at small scales. These problems could be alleviated if the dark matter is composed of ultralight fields m ∼ 10^(−22) eV, usually known as fuzzy dark matter (FDM). Some specific models, with axion-like potentials, have been thoroughly studied and are collectively referred to as ultralight axions (ULAs) or axion-like particles (ALPs). In this work we consider anharmonic corrections to the mass term coming from a repulsive quartic self-interaction. Whenever this anharmonic term dominates, the field behaves as radiation instead of cold matter, modifying the time of matter-radiation equality. Additionally, even for high masses, i.e. masses that reproduce the cold matter behaviour, the presence of anharmonic terms introduce a cut-off in the matter power spectrum through its contribution to the sound speed. We analyze the model and derive constraints using a modified version of class and comparing with CMB and large-scale structure data
A Monte Carlo approach to the 4D scattering equations.

The scattering equation formalism is a general framework for calculation of amplitudes in theories of massless particles. We provide a detailed introduction to the 4D scattering equation framework accessible to non-experts, outline current difficulties solving the equations numerically, and explain how to overcome them with a Monte Carlo algorithm. With this submission we include treeamps4dJAF, the first publicly available Mathematica package for calculating amplitudes by solving the scattering equations, supporting MHV analytical and Nk − 2MHV numerical computations. The package provides a powerful and flexible computational tool for calculating tree-level amplitudes in super Yang Mills theories, Einstein supergravity and conformal supergravity. We tabulate sets of numerical solutions up to 9 points in all MHV sectors and 12 points in the NHMV sector which can be used for fast evaluation of amplitudes
Higgs-boson plus Dijets : higher-order matching for high-energy predictions.

Several important processes and analyses at the LHC are sensitive to higher-order perturbative corrections beyond what can currently be calculated at fixed order. The formalism of High Energy Jets (HEJ) calculates the corrections systematically enhanced for a large ratio of the centre-of-mass energy to the transverse momentum of the observed jets. These effects are relevant in the analysis of e.g. Higgs-boson production in association with dijets within the cuts devised to enhance the contribution from Vector Boson Fusion (VBF).\ud
\ud
HEJ obtains an all-order approximation, based on logarithmic corrections which are matched to fixed-order results in the cases where these can be readily evaluated. In this paper we present an improved framework for the matching utilised in HEJ, which for merging of tree-level results is mathematically equivalent to the one used so far. However, by starting from events generated at fixed order and supplementing these with the all-order summation, it is computationally simpler to obtain matching to calculations of high multiplicity.\ud
\ud
We demonstrate that the impact of the higher-multiplicity matching on predictions is small for the gluon-fusion (GF) contribution of Higgs-boson production in association with dijets in the VBF-region, so perturbative stability against high-multiplicity matching has been achieved within HEJ. We match the improved HEJ prediction to the inclusive next-to-leading order (NLO) cross section and compare to pure NLO in the h → γγ channel with standard VBF cuts
From effective Hamiltonian to anomaly inflow in topological orders with
  boundaries

Whether two boundary conditions of a two-dimensional topological order can be
continuously connected without a phase transition in between remains a
challenging question. We tackle this challenge by constructing an effective
Hamiltonian, describing anyon interaction, that realizes such a continuous
deformation. At any point along the deformation, the model remains a fixed
point model describing a gapped topological order with gapped boundaries. That
the deformation retains the gap is due to the anomaly cancelation between the
boundary and bulk. Such anomaly inflow is quantitatively studied using our
effective Hamiltonian. We apply our method of effective Hamiltonian to the
extended twisted quantum double model with boundaries (constructed by two of us
in Ref.[1]). We show that for a given gauge group $G$ and a three-cocycle in
$H^3[G,U(1)]$ in the bulk, any two gapped boundaries for a fixed subgroup
$K\subseteq G$ on the boundary can be continuously connected via an effective
Hamiltonian. Our results can be straightforwardly generalized to the extended
Levin-Wen model with boundaries (constructed by two of us in Ref.[2].Comment: 5 page
A Second Look at String-Inspired Models for Proton-Proton Scattering via
  Pomeron Exchange

We re-examine a string dual model for elastic proton-proton scattering via
Pomeron exchange. We argue that the method of "Reggeizing" a propagator to take
into account an entire trajectory of exchanged particles can be generalized, in
particular by modifying the value of the mass-shell parameter in the model. We
then fit the generalized model to scattering data at large s and small t. The
fitting results are inconclusive, but suggest that a better fit might be
obtained by allowing the mass-shell to vary. The model fits the data equally
well (roughly) for a wide range of values of the mass-shell parameter, but the
other fitting parameters (the slope and intercept of the Regge trajectory, and
the coupling constant and dipole mass from the proton-proton-glueball coupling)
are then inconsistent with what we expect. On the other hand, using the
traditional method of Reggeization generates a weaker fit, but the other
parameters obtain more physically reasonable values. In analyzing the fitting
results, we also found that our model is more consistent with the sqrt(s) =
1800 GeV coming from the E710 experiment than that coming from the CDF
experiment, and that our model has the greatest discrepancy with the data in
the range 0.5 GeV^2 < |t| < 0.6 GeV^2, suggesting that the transition from soft
Pomeron to hard Pomeron may occur closer to t = -0.5 GeV^2 rather than t = -0.6
GeV^2 as previously thought.Comment: 16 pages, 7 figures, 2 table
N=2 Moduli of AdS4 vacua: A fine-print study

We analyze the moduli spaces near N=4 supersymmetric AdS4 vacua of string
theory by combining and comparing various approaches: (a) the known exact
solutions of Type IIB string theory with localized 5-brane sourcees, (b) the
holographically dual 3d quiver gauge theories; (c) gauged supergravity, and (d)
the representations of the superconformal algebra Osp(4|4). Short multiplets
containing the marginal N=2 deformations transform in the (2;0), (0;2) or (1;1)
representations of the R-symmetry group SU(2)_H x SU(2)_C. The first two are
classified by the chiral rings of the Higgs and Coulomb branches, while the
latter contain mixed-branch operators. We identify the origin of these moduli
in string theory, matching in particular the operators of the chiral rings with
open strings on the magnetized 5-brane sources. Our results provide new
evidence for the underlying holographic duality. The existence of a large
number of bound-state moduli highlights the limitations of effective
supergravity.Comment: 32 pages, 5 figures. Typos and some incorrect statements have been
  corrected which did not affect our analysi
Twist-field representations of W-algebras, exact conformal blocks and
  character identities

We study the twist-field representations of W-algebras and generalize
construction of the corresponding vertex operators to D- and B-series. It is
shown, how the computation of characters of these representations leads to
nontrivial identities involving lattice theta-functions. We also propose a way
to calculate their exact conformal blocks, expressing them for D-series in
terms of geometric data of the corresponding Prym variety for covering curve
with involution.Comment: 55 pages; journal versio
Vertex operator algebras, Higgs branches, and modular differential
  equations

Every four-dimensional ${\cal N}=2$ superconformal field theory comes
equipped with an intricate algebraic invariant, the associated vertex operator
algebra. The relationships between this invariant and more conventional
protected quantities in the same theories have yet to be completely understood.
In this work, we aim to characterize the connection between the Higgs branch of
the moduli space of vacua (as an algebraic geometric entity) and the associated
vertex operator algebra. Ultimately our proposal is simple, but its correctness
requires the existence of a number of nontrivial null vectors in the vacuum
Verma module of the vertex operator algebra. Of particular interest is one such
null vector whose presence suggests that the Schur index of any ${\cal N}=2$
SCFT should obey a finite order modular differential equation. By way of the
"high temperature" limit of the superconformal index, this allows the Weyl
anomaly coefficient $a$ to be reinterpreted in terms of the representation
theory of the associated vertex operator algebra. We illustrate these ideas in
a number of examples including a series of rank-one theories associated with
the "Deligne-Cvitanovi\'c exceptional series" of simple Lie algebras, several
families of Argyres-Douglas theories, an assortment of class ${\cal S}$
theories, and ${\cal N}=4$ super Yang-Mills with $\mathfrak{su}(n)$ gauge group
for small-to-moderate values of $n$.Comment: 66 pages. v2: some typos corrected. Added new section 5.4 discussing
  an additional family of Argyres-Douglas SCFT
Spinorial geometry, off-shell Killing spinor identities and higher derivative 5D supergravities

Killing spinor identities relate components of equations of motion to each other for supersymmetric backgrounds. The only input required is the field content and the supersymmetry transformations of the fields, as long as an on-shell supersymmetrization of the action without additional fields exists. If we consider off-shell supersymmetry it is clear that the same relations will occur between components of the equations of motion independently of the specific action considered, in particular the Killing spinor identities can be derived for arbitrary, including higher derivative, supergravities, with a specified matter content. We give the Killing spinor identities for five-dimensional N= 2 ungauged supergravities coupled to Abelian vector multiplets, and then using spinorial geometry techniques so that we have explicit representatives for the spinors, we discuss the particular case of the time-like class of solutions to theories with perturbative corrections at the four derivative level. We also discuss the maximally supersymmetric solutions in the general off-shell case
Quantum integrability of $\mathcal{N}=2$ 4d gauge theories

We provide a description of the quantum integrable structure behind the
Thermodynamic Bethe Ansatz (TBA)-like equation derived by Nekrasov and
Shatashvili (NS) for $\mathcal{N}=2$ 4d Super Yang-Mills (SYM) theories. In
this regime of the background, -- we shall show --, the instanton partition
function is characterised by the solution of a TQ-equation. Exploiting a
symmetry of the contour integrals expressing the partition function, we derive
a 'dual' TQ-equation, sharing the same T-polynomial with the former. This fact
allows us to evaluate to $1$ the quantum Wronskian of two dual solutions (for
$Q$) and, then, to reproduce the NS TBA-like equation. The latter acquires
interestingly the deep meaning of a known object in integrability theory, as
its two second determinations give the usual non-linear integral equations
(nlies) derived from the 'dual' Bethe Ansatz equations.Comment: 21 page
Quantum teleportation through time-shifted AdS wormholes

Based on the work of Gao-Jafferis-Wall and Maldacena-Stanford-Yang, we
observe that the time-shifted thermofield states of two entangled CFTs can be
made traversable by an appropriate coupling of the two CFTs, or alternatively
by the application of a modified quantum teleportation protocol. This provides
evidence for the smoothness of the horizon for a large class of entangled
states related to the thermofield by time-translations. The smoothness of these
states has some relevance for the firewall paradox and the proposal that some
observables in quantum gravity may be state-dependent. We notice that quantum
teleportation through these entangled states could be used in a laboratory
setup to implement a time-machine, which allows the observer to travel far in
the future.Comment: 18 page
Reduction of the Parameters in MSSM

In the present work we search for renormalization group invariant relations
among the various massless and massive parameters of the Minimal Supersymmetric
Standard Model. We find that indeed several of the previously free parameters
of the model can be reduced in favor of few, the unique gauge coupling and the
gaugino mass at the unification scale among them. Taking into account the
various experimental constraints, including the B-physics ones, we predict the
Higgs and the supersymmetric spectrum. We find that the lightest Higgs mass is
in comfortable agreement with the measured value and its experimental and
theoretical uncertainties, while the electroweak supersymmetric spectrum starts
at 1.3 TeV and the colored at ~4 TeV. Thus the reduced MSSM is in natural
agreement with all LHC measurements and searches. The supersymmetric and heavy
Higgs particles will likely escape the detection at the LHC, as well as at ILC
and CLIC. However, the FCC-hh will be able to fully test the predicted
parameter space.Comment: Revised arguments in Section 3. Results unchanged. To appear in JHEP.
  arXiv admin note: text overlap with arXiv:1412.5766, arXiv:1802.04666,
  arXiv:1305.507