pinecone/core-2020-05-10-deduplication huggingface dataset:
Non Abelian T-duality in Gauged Linear Sigma Models

Abelian T-duality in Gauged Linear Sigma Models (GLSM) forms the basis of the
physical understanding of Mirror Symmetry as presented by Hori and Vafa. We
consider an alternative formulation of Abelian T-duality on GLSM's as a gauging
of a global $U(1)$ symmetry with the addition of appropriate Lagrange
multipliers. For GLSMs with Abelian gauge groups and without superpotential we
reproduce the dual models introduced by Hori and Vafa. We extend the
construction to formulate non-Abelian T-duality on GLSMs with global
non-Abelian symmetries. The equations of motion that lead to the dual model are
obtained for a general group, they depend in general on semi-chiral
superfields; for cases such as $SU(2)$ they depend on twisted chiral
superfields. We solve the equations of motion for an $SU(2)$ gauged group with
a choice of a particular Lie algebra direction of the vector superfield. This
direction covers a non-Abelian sector that can be described by a family of
Abelian dualities. The dual model Lagrangian depends on twisted chiral
superfields and a twisted superpotential is generated. We explore some
non-perturbative aspects by making an Ansatz for the instanton corrections in
the dual theories. We verify that the effective potential for the $U(1)$ field
strength in a fixed configuration on the original theory matches the one of the
dual theory. Imposing restrictions on the vector superfield, more general
non-Abelian dual models are obtained. We analyze the dual models via the
geometry of their susy vacua.Comment: 37 pages + appendices; added discussions, references and corrected
  typo
The Conformal Characters

We revisit the study of the multiplets of the conformal algebra in any
dimension. The theory of highest weight representations is reviewed in the
context of the Bernstein-Gelfand-Gelfand category of modules. The
Kazhdan-Lusztig polynomials code the relation between the Verma modules and the
irreducible modules in the category and are the key to the characters of the
conformal multiplets (whether finite dimensional, infinite dimensional, unitary
or non-unitary). We discuss the representation theory and review in full
generality which representations are unitarizable. The mathematical theory that
allows for both the general treatment of characters and the full analysis of
unitarity is made accessible. A good understanding of the mathematics of
conformal multiplets renders the treatment of all highest weight
representations in any dimension uniform, and provides an overarching
comprehension of case-by-case results. Unitary highest weight representations
and their characters are classified and computed in terms of data associated to
cosets of the Weyl group of the conformal algebra. An executive summary is
provided, as well as look-up tables up to and including rank four.Comment: 41 pages, many figure
Hairy Black Holes and Duality in an Extended Supergravity Model

We consider a $D=4$, $\mathcal{N}=2$ gauged supergravity with an
electromagentic Fayet-Iliopoulos term. We restrict to the uncharged, single
dilaton consistent truncation and point out that the bulk Lagrangian is
self-dual under electromagnetic duality. Within this truncation, we construct
two families of exact hairy black hole solutions, which are asymptotically
$AdS_4$. When a duality transformation is applied on these solutions, they are
mapped to two other inequivalent families of hairy black hole solutions. The
mixed boundary conditions of the scalar field correspond to adding a
triple-trace operator to the dual field theory action. We also show that the
this truncation contains all the consistent single dilaton truncations of
gauged $\mathcal{N}=8$ supergravity with a possible $\omega$-deformation.Comment: LaTeX source, 36 pages, 6 figure
Meromorphic solutions of recurrence relations and DRA method for
  multicomponent master integrals

We formulate a method to find the meromorphic solutions of higher-order
recurrence relations in the form of the sum over poles with coefficients
defined recursively. Several explicit examples of the application of this
technique are given. The main advantage of the described approach is that the
analytical properties of the solutions are very clear (the position of poles is
explicit, the behavior at infinity can be easily determined). These are exactly
the properties that are required for the application of the multiloop
calculation method based on dimensional recurrence relations and analyticity
(the DRA method).Comment: 20 pages, minor change
Holographic Turbulence in a Large Number of Dimensions

We consider relativistic hydrodynamics in the limit where the number of
spatial dimensions is very large. We show that under certain restrictions, the
resulting equations of motion simplify significantly. Holographic theories in a
large number of dimensions satisfy the aforementioned restrictions and their
dynamics are captured by hydrodynamics with a naturally truncated derivative
expansion. Using analytic and numerical techniques we analyze two and
three-dimensional turbulent flow of such fluids in various regimes and its
relation to geometric data.Comment: 36 pages, 22 figure
Correlation Functions of Warped CFT

Warped conformal field theory (WCFT) is a two dimensional quantum field
theory whose local symmetry algebra consists of a Virasoro algebra and a U(1)
Kac-Moody algebra. In this paper, we study correlation functions for primary
operators in WCFT. Similar to conformal symmetry, warped conformal symmetry is
very constraining. The form of the two and three point functions are determined
by the global warped conformal symmetry while the four point functions can be
determined up to an arbitrary function of the cross ratio. The warped conformal
bootstrap equation are constructed by formulating the notion of crossing
symmetry. In the large central charge limit, four point functions can be
decomposed into global warped conformal blocks, which can be solved exactly.
Furthermore, we revisit the scattering problem in warped AdS spacetime (WAdS),
and give a prescription on how to match the bulk result to a WCFT retarded
Green's function. Our result is consistent with the conjectured holographic
dualities between WCFT and WAdS.Comment: 20 pages, 0 figur
Higgs Portals for Thermal Dark Matter - EFT Perspectives and the NMSSM -

We analyze a low energy effective model of Dark Matter in which the thermal
relic density is provided by a singlet Majorana fermion which interacts with
the Higgs fields via higher dimensional operators. Direct detection signatures
may be reduced if blind spot solutions exist, which naturally appear in models
with extended Higgs sectors. Explicit mass terms for the Majorana fermion can
be forbidden by a $Z_3$ symmetry, which in addition leads to a reduction of the
number of higher dimensional operators. Moreover, a weak scale mass for the
Majorana fermion is naturally obtained from the vacuum expectation value of a
scalar singlet field. The proper relic density may be obtained by the
$s$-channel interchange of Higgs and gauge bosons, with the longitudinal mode
of the $Z$ boson (the neutral Goldstone mode) playing a relevant role in the
annihilation process. This model shares many properties with the
Next-to-Minimal Supersymmetric extension of the Standard Model (NMSSM) with
light singlinos and heavy scalar and gauge superpartners. In order to test the
validity of the low energy effective field theory, we compare its predictions
with those of the ultraviolet complete NMSSM. Extending our framework to
include $Z_3$ neutral Majorana fermions, analogous to the bino in the NMSSM, we
find the appearance of a new bino-singlino well tempered Dark Matter region.Comment: 42 pages, 14 figures. v2: added references, published in JHE
Gravitational corrections to Higgs potentials

Understanding the Higgs potential at large field values corresponding to
scales in the range above $10^{10}{\rm GeV}$ is important for questions of
vacuum stability, particularly in the early universe where survival of the
Higgs vacuum can be an issue. In this paper we show that the Higgs potential
can be derived in away which is independent of the choice of conformal frame
for the spacetime metric. Questions about vacuum stability can therefore be
answered unambiguously. We show that frame independence leads to new relations
between the beta functions of the theory and we give improved limits on the
allowed values of the Higgs curvature coupling for stability.Comment: 21 pages, 5 figures, jhep style, v
The AdS$_3$ Propagator and the Fate of Locality

We recently used Virasoro symmetry considerations to propose an exact formula
for a bulk proto-field $\phi$ in AdS$_3$. In this paper we study the propagator
$\langle \phi \phi \rangle$. We show that many techniques from the study of
conformal blocks can be generalized to compute it, including the semiclassical
monodromy method and both forms of the Zamolodchikov recursion relations. When
the results from recursion are expanded at large central charge, they match
gravitational perturbation theory for a free scalar field coupled to gravity in
our chosen gauge.
  We find that although the propagator is finite and well-defined at long
distances, its perturbative expansion in $G_N = \frac{3}{2c}$ exhibits UV/IR
mixing effects. If we nevertheless interpret $\langle \phi \phi \rangle$ as a
probe of bulk locality, then when $G_N m_\phi \ll 1$ locality breaks down at
the new short-distance scale $\sigma_* \sim \sqrt[4]{G_N R_{AdS}^3}$. For
$\phi$ with very large bulk mass, or at small central charge, bulk locality
fails at the AdS length scale. In all cases, locality `breakdown' manifests as
singularities or branch cuts at spacelike separation arising from
non-perturbative quantum gravitational effects.Comment: 42+17 pages, 7 figure
B+L violation at colliders and new physics.

Chiral electroweak anomalies predict baryon (B) and lepton (L) violating fermion interactions, which can be dressed with large numbers of Higgs and gauge bosons. The estimation of the total B + L-violating rate from an initial two-particle state — potentially observable at colliders — has been the subject of an intense discussion, mainly centered on the resummation of boson emission, which is believed to contribute to the cross-section with an exponential function of the energy, yet with an exponent (the “holy-grail” function) which is not fully known in the energy range of interest. In this article we focus instead on the effect of fermions beyond the Standard-Model (SM) in the polynomial contributions to the rate. It is shown that B + L processes involving the new fermions have a polynomial contribution that can be several orders of magnitude greater than in the SM, for high centre-of-mass energies and light enough masses. We also present calculations that hint at a simple dependence of the holy grail function on the heavy fermion masses. Thus, if anomalous B + L violating interactions are ever detected at high-energy colliders, they could be associated with new physics
Pulsating strings with mixed three-form flux

Circular strings pulsating in AdS_(3) × S^(3) × T^(4) with mixed R–R and NS–NS three-form fluxes can be described by an integrable deformation of the one-dimensional Neumann-Rosochatius mechanical model. In this article we find a general class of pulsating solutions to this integrable system that can be expressed in terms of elliptic functions. In the limit of strings moving in AdS_(3) with pure NS–NS three-form flux, where the action reduces to the SL(2, R) WZW model, we find agreement with the analysis of the classical solutions of the system performed using spectral flow by Maldacena and Ooguri. We use our elliptic solutions in AdS_(3) to extend the dispersion relation beyond the limit of pure NS–NS flux
Two-Loop integrals for CP-even heavy quarkonium production and decays:
  Elliptic Sectors

By employing the differential equations, we compute analytically the elliptic
sectors of two-loop master integrals appearing in the NNLO QCD corrections to
CP-even heavy quarkonium exclusive production and decays, which turns out to be
the last and toughest part in the relevant calculation. The integrals are found
can be expressed as Goncharov polylogarithms and iterative integrals over
elliptic functions. The master integrals may be applied to some other NNLO QCD
calculations about heavy quarkonium exclusive production, like
$\gamma^*\gamma\rightarrow Q\bar{Q}$, $e^+e^-\rightarrow \gamma+
Q\bar{Q}$,~and~$H/Z^0\rightarrow \gamma+ Q\bar{Q}$, heavy quarkonium exclusive
decays, and also the CP-even heavy quarkonium inclusive production and decays.Comment: 23 pages, 3 figures, more discussions and references adde
Conformal anomaly of generalized form factors and finite loop integrals

We reveal a new mechanism of conformal symmetry breaking at Born level. It
occurs in generalized form factors with several local operators and an on-shell
state of massless particles. The effect is due to hidden singularities on
collinear configurations of the momenta. This conformal anomaly is different
from the holomorphic anomaly of amplitudes. We present a number of examples in
four and six dimensions. We find an application of the new conformal anomaly to
finite loop momentum integrals with one or more massless legs. The collinear
region around a massless leg creates a contact anomaly, made visible by the
loop integration. The anomalous conformal Ward identity for an $\ell-$loop
integral is a 2nd-order differential equation whose right-hand side is an
$(\ell-1)-$loop integral. We show several examples, in particular the
four-dimensional scalar double box.Comment: 36 pages, 9 figures; reference added, typos correcte
Improved Positivity Bounds and Massive Gravity

Theories such as massive Galileons and massive gravity can satisfy the
presently known improved positivity bounds provided they are weakly coupled. We
discuss the form of the EFT Lagrangian for a weakly coupled UV completion of
massive gravity which closely parallels the massive Galileon, and perform the
power counting of corrections to the scattering amplitude and the positivity
bounds. The Vainshtein mechanism which is central to the phenomenological
viability of massive gravity is entirely consistent with weak coupling since it
is classical in nature. We highlight that the only implication of the improved
positivity constraints is that EFT cutoff is lower than previous assumed, and
discuss the observable implications, emphasizing that these bounds are not
capable of ruling out the model contrary to previous statements in the
literature.Comment: 30 pages,2 figures. Typos corrected, minor addition
Teichmuller TQFT vs Chern-Simons Theory

Teichm\"uller TQFT is a unitary 3d topological theory whose Hilbert spaces
are spanned by Liouville conformal blocks. It is related but not identical to
PSL(2,R) Chern-Simons theory. To physicists, it is known in particular in the
context of 3d-3d correspondence and also in the holographic description of
Virasoro conformal blocks. We propose that this theory can be defined by an
analytically-continued Chern-Simons path-integral with an unusual integration
cycle. On hyperbolic three-manifolds, this cycle is singled out by the
requirement of invertible vielbein. Mathematically, our proposal translates a
known conjecture by Andersen and Kashaev into a conjecture about the
Kapustin-Witten equations. We further explain that Teichm\"uller TQFT is dual
to complex SL(2,C) Chern-Simons theory at integer level k=1, clarifying some
puzzles previously encountered in the 3d-3d correspondence literature. We also
present a new simple derivation of complex Chern-Simons theories from the 6d
(2,0) theory on a lens space with a transversely-holomorphic foliation.Comment: 94 p., 13 fig., v2: prepared for submission to JHEP, references adde
Heterotic Line Bundle Models on Elliptically Fibered Calabi-Yau
  Three-folds

We analyze heterotic line bundle models on elliptically fibered Calabi-Yau
three-folds over weak Fano bases. In order to facilitate Wilson line breaking
to the standard model group, we focus on elliptically fibered three-folds with
a second section and a freely-acting involution. Specifically, we consider
toric weak Fano surfaces as base manifolds and identify six such manifolds with
the required properties. The requisite mathematical tools for the construction
of line bundle models on these spaces, including the calculation of line bundle
cohomology, are developed. A computer scan leads to more than $400$ line bundle
models with the right number of families and an $SU(5)$ GUT group which can
descend to standard-like models after taking the $\mathbb{Z}_2$ quotient. A
common and surprising feature of these models is the presence of a large number
of vector-like states.Comment: 47 pages, 4 figures; data of physically promising models can be found
  at
  http://www-thphys.physics.ox.ac.uk/projects/CalabiYau/HeteroticBundles/index.htm
3d Expansions of 5d Instanton Partition Functions

We propose a set of novel expansions of Nekrasov's instanton partition
functions. Focusing on 5d supersymmetric pure Yang-Mills theory with unitary
gauge group on $\mathbb{C}^2_{q,t^{-1}} \times \mathbb{S}^1$, we show that the
instanton partition function admits expansions in terms of partition functions
of unitary gauge theories living on the 3d subspaces $\mathbb{C}_{q} \times
\mathbb{S}^1$, $\mathbb{C}_{t^{-1}} \times \mathbb{S}^1$ and their intersection
along $\mathbb{S}^1$. These new expansions are natural from the BPS/CFT
viewpoint, as they can be matched with $W_{q,t}$ correlators involving an
arbitrary number of screening charges of two kinds. Our constructions
generalize and interpolate existing results in the literature.Comment: v1: 30 pages. v2: references added. v3:JHEP version with added
  references and clarification
Dark Matter "Transporting" Mechanism Explaining Positron Excesses

We propose a novel mechanism to explain the positron excesses, which are
observed by satellite-based telescopes including PAMELA and AMS-02, in dark
matter (DM) scenarios. The novelty behind the proposal is that it makes direct
use of DM around the Galactic Center where DM populates most densely, allowing
us to avoid tensions from cosmological and astrophysical measurements. The key
ingredients of this mechanism include DM annihilation into unstable states with
a very long laboratory-frame life time and their "retarded" decay near the
Earth to electron-positron pair(s) possibly with other (in)visible particles.
We argue that this sort of explanation is not in conflict with relevant
constraints from big bang nucleosynthesis and cosmic microwave background.
Regarding the resultant positron spectrum, we provide a generalized source term
in the associated diffusion equation, which can be readily applicable to any
type of two-"stage" DM scenarios wherein production of Standard Model particles
occurs at completely different places from those of DM annihilation. We then
conduct a data analysis with the recent AMS-02 data to validate our proposal.Comment: 14 pages, 3 figure
Classical Conformal Blocks and Accessory Parameters from Isomonodromic
  Deformations

Classical conformal blocks naturally appear in the large central charge limit
of 2D Virasoro conformal blocks. In the $AdS_{3}/CFT_{2}$ correspondence, they
are related to classical bulk actions and are used to calculate entanglement
entropy and geodesic lengths. In this work, we discuss the identification of
classical conformal blocks and the Painlev\'e VI action showing how
isomonodromic deformations naturally appear in this context. We recover the
accessory parameter expansion of Heun's equation from the isomonodromic
$\tau$-function. We also discuss how the $c = 1$ expansion of the
$\tau$-function leads to a novel approach to calculate the 4-point classical
conformal block.Comment: 32+10 pages, 2 figures; v3: upgraded notation, discussion on moduli
  space and monodromies, numerical and analytic checks; v2: added refs, fixed
  emai
On actions for (entangling) surfaces and DCFTs

The dynamics of surfaces and interfaces describe many physical systems,
including fluid membranes, entanglement entropy and the coupling of defects to
quantum field theories. Based on the formulation of submanifold calculus
developed by Carter, we introduce a new variational principle for (entangling)
surfaces. This principle captures all diffeomorphism constraints on
surface/interface actions and their associated spacetime stress tensor. The
different couplings to the geometric tensors appearing in the surface action
are interpreted in terms of response coefficients within elasticity theory. An
example of a surface action with edges at the two-derivative level is studied,
including both the parity-even and parity-odd sectors. Its conformally
invariant counterpart restricts the type of conformal anomalies that can appear
in two-dimensional submanifolds with boundaries. Analogously to hydrodynamics,
it is shown that classification methods can be used to constrain the stress
tensor of (entangling) surfaces at a given order in derivatives. This analysis
reveals a purely geometric parity-odd contribution to the Young modulus of a
thin elastic membrane. Extending this novel variational principle to BCFTs and
DCFTs in curved spacetimes allows to obtain the Ward identities for
diffeomorphism and Weyl transformations. In this context, we provide a formal
derivation of the contact terms in the stress tensor and of the displacement
operator for a broad class of actions.Comment: v2: 71pp, 1fig, comments and references added, typos fixed, to be
  published in JHE
Oscillons in a perturbed signum-Gordon model.

We study various properties of a perturbed signum-Gordon model, which has been obtained through the dimensional reduction of the called ‘first BPS submodel of the Skyrme model’. This study is motivated by the observation that the first BPS submodel of the Skyrme model may be partially responsible for the good qualities of the rational map ansatz approximation to the solutions of the Skyrme model. We investigate the existence, stability and various properties of oscillons and other time-dependent states in this perturbed signum-Gordon model
Extended Riemannian Geometry II: Local Heterotic Double Field Theory

We continue our exploration of local Double Field Theory (DFT) in terms of
symplectic graded manifolds carrying compatible derivations and study the case
of heterotic DFT. We start by developing in detail the differential graded
manifold that captures heterotic Generalized Geometry which leads to new
observations on the generalized metric and its twists. We then give a
symplectic pre-NQ-manifold that captures the symmetries and the geometry of
local heterotic DFT. We derive a weakened form of the section condition, which
arises algebraically from consistency of the symmetry Lie 2-algebra and its
action on extended tensors. We also give appropriate notions of twists-which
are required for global formulations-and of the torsion and Riemann tensors.
Finally, we show how the observed $\alpha'$-corrections are interpreted
naturally in our framework.Comment: v2: 30 pages, few more details added, typos fixed, published versio