pinecone/core-2020-05-10-deduplication huggingface dataset:
S-duality in $\mathcal{N} = 1$ orientifold SCFTs

We present a general solution to the problem of determining all S-dual
descriptions for a specific (but very rich) class of $\mathcal{N} = 1$ SCFTs.
These SCFTs are indexed by decorated toric diagrams, and can be engineered in
string theory by probing orientifolds of isolated toric singularities with D3
branes. The S-dual phases are described by quiver gauge theories coupled to
specific types of conformal matter which we describe explicitly. We illustrate
our construction with many examples, including S-dualities in previously
unknown SCFTs.Comment: 102 pages, 61 figure
$L_{\infty}$ Algebras and Field Theory

We review and develop the general properties of $L_\infty$ algebras focusing
on the gauge structure of the associated field theories. Motivated by the
$L_\infty$ homotopy Lie algebra of closed string field theory and the work of
Roytenberg and Weinstein describing the Courant bracket in this language we
investigate the $L_\infty$ structure of general gauge invariant perturbative
field theories. We sketch such formulations for non-abelian gauge theories,
Einstein gravity, and for double field theory. We find that there is an
$L_\infty$ algebra for the gauge structure and a larger one for the full
interacting field theory. Theories where the gauge structure is a strict Lie
algebra often require the full $L_\infty$ algebra for the interacting theory.
The analysis suggests that $L_\infty$ algebras provide a classification of
perturbative gauge invariant classical field theories.Comment: 54 pages, v2: minor changes, refs. added, v3: minor corrections,
  version published in Fortsch.Phy
Inflation and Conformal Invariance: The Perspective from Radial
  Quantization

According to the dS/CFT correspondence, correlators of fields generated
during a primordial de Sitter phase are constrained by three-dimensional
conformal invariance. Using the properties of radially quantized conformal
field theories and the operator-state correspondence, we glean information on
some points. The Higuchi bound on the masses of spin-s states in de Sitter is a
direct consequence of reflection positivity in radially quantized CFT$_3$ and
the fact that scaling dimensions of operators are energies of states. The
partial massless states appearing in de Sitter correspond from the boundary
CFT$_3$ perspective to boundary states with highest weight for the conformal
group. We discuss inflationary consistency relations and the role of asymptotic
symmetries which transform asymptotic vacua to new physically inequivalent
vacua by generating long perturbation modes. We show that on the CFT$_3$ side,
asymptotic symmetries have a nice quantum mechanics interpretation. For
instance, acting with the asymptotic dilation symmetry corresponds to evolving
states forward (or backward) in "time" and the charge generating the asymptotic
symmetry transformation is the Hamiltonian itself. Finally, we investigate the
symmetries of anisotropic inflation and show that correlators of
four-dimensional free scalar fields can be reproduced in the dual picture by
considering an isotropic three-dimensional boundary enjoying dilation symmetry,
but with a nonvanishing vacuum expectation value of the boundary stress-energy
momentum tensor.Comment: 41 pages, 4 figure
Abelian scalar theory at large global charge

We elaborate on Abelian complex scalar models, which are dictated by natural
actions (all couplings are of order one), at fixed and large global $U(1)$
charge in an arbitrary number of dimensions. The ground state $|
\upsilon\rangle$ is coherently constructed by the zero modes and the appearance
of a centrifugal potential is quantum mechanically verified. Using the path
integral formulation we systematically analyze the quantum fluctuations around
$| \upsilon\rangle$ in order to derive an effective action for the Goldstone
mode, which becomes perturbatively meaningful when the charge is large. In this
regime we explicitly show that the whole construction is stable against quantum
corrections, in the sense that any higher derivative couplings to Goldstone's
tree-level action are suppressed by appropriate powers of the large charge.Comment: 24+1 pages, 2 figure
Diving into traversable wormholes

We study various aspects of wormholes that are made traversable by an
interaction beween the two asymptotic boundaries. We concentrate on the case of
nearly-$AdS_2$ gravity and discuss a very simple mechanical picture for the
gravitational dynamics. We derive a formula for the two sided correlators that
includes the effect of gravitational backreaction, which limits the amount of
information we can send through the wormhole. We emphasize that the process can
be viewed as a teleportation protocol where the teleportee feels nothing
special as he/she goes through the wormhole. We discuss some applications to
the cloning paradox for old black holes. We point out that the same formula we
derived for $AdS_2$ gravity is also valid for the simple SYK quantum mechanical
theory, around the thermofield double state. We present a heuristic picture for
this phenomenon in terms of an operator growth model. Finally, we show that a
similar effect is present in a completely classical chaotic system with a large
number of degrees of freedom.Comment: 36+16 pages, 18 figure
Quantum-corrected geometry of horizon vicinity

We study the deformation of the horizon-vicinity geometry caused by quantum
gravitational effects. Departure from the semi-classical picture is noted, and
the fact that the matter part of the action comes at a higher order in Newton's
constant than does the Einstein-Hilbert term is crucial for the departure. The
analysis leads to a Firewall-type energy measured by an infalling observer for
which quantum generation of the cosmological constant is critical. The analysis
seems to suggest that the Firewall should be a part of such deformation and
that the information be stored both in the horizon-vicinity and asymptotic
boundary region. We also examine the behavior near the cosmological horizon.Comment: 31 pages, 1 figure, refs added, version to appear in Fortschritte der
  Physi
The Integral Form of D=3 Chern-Simons Theories Probing ${\mathbb
  C}^n/\Gamma$ Singularities

We consider D=3 supersymmetric Chern-Simons gauge theories both from the
point of view of their formal structure and of their applications to the
$\mathrm{AdS_4/CFT_3}$ correspondence. From the structural view-point, we use
the new formalism of integral forms in superspace that utilizes the rheonomic
Lagrangians and the Picture Changing Operators, as an algorithmic tool
providing the connection between different approaches to supersymmetric
theories. We provide here the generalization to an arbitrary K\"ahler manifold
with arbitrary gauge group and arbitrary superpotential of the rheonomic
lagrangian of D=3 matter coupled gauge theories constructed years ago. From the
point of view of the $\mathrm{AdS_4/CFT_3}$ correspondence and more generally
of M2-branes we emphasize the role of the K\"ahler quotient data in determining
the field content and the interactions of the Cherns Simons gauge theory when
the transverse space to the brane is a non-compact K\"ahler quotient $K_4$ of
some flat variety with respect to a suitable group. The crepant resolutions of
${\mathbb C}^n/\Gamma$ singularities fall in this category. In the present
paper we anticipate the general scheme how the geometrical data are to be
utilized in the construction of the D=3 Chern-Simons Theory supposedly dual to
the corresponding M2-brane solution.Comment: 41 pp, no figure
The spin-charge-family theory offers understanding of the triangle
  anomalies cancellation in the standard model

The standard model has for massless quarks and leptons "miraculously" no
triangle anomalies due to the fact that the sum of all possible traces $Tr
[\tau^{Ai}$$ \tau^{Bj}$$ \tau^{Ck}]$ --- where $\tau^{Ai}, \tau^{Bi}$ and
$\tau^{Ck}$ are the generators of one, of two or of three of the groups $SU(3),
SU(2)$ and $U(1)$ --- over the representations of one family of the left handed
fermions and anti-fermions (and separately of the right handed fermions and
anti-fermions), contributing to the triangle currents, is equal to zero. It is
demonstrated in this paper that this cancellation of the standard model
triangle anomaly follows straightforwardly if the $SO(3,1), SU(2), U(1)$ and $
SU(3)$ are the subgroups of the orthogonal group $SO(13,1)$, as it is in the
spin-charge-family theory. We comment on the $SO(10)$ anomaly cancellation,
which works if handedness and charges are related "by hand".Comment: There are several papers in this arxiv, apearing sequentially, the
  author of which is N. Manko\v{c} Bor\v{s}tnik. The previous one with the
  title "Spin-charge-family theory is offering next step in understanding
  elementary particles and fields and correspondingly universe, making several
  predictions" includes one section with the topic of the present paper. 26
  page
Spheres, Generalised Parallelisability and Consistent Truncations

We show that generalised geometry gives a unified description of maximally supersymmetric consistent truncations of ten- and eleven-dimensional supergravity. In all cases the reduction manifold admits a “generalised parallelisation” with a frame algebra with constant coefficients. The consistent truncation then arises as a generalised version of a conventional Scherk–Schwarz reduction with the frame algebra encoding the embedding tensor of the reduced theory. The key new result is that all round-sphere math formula geometries admit such generalised parallelisations with an math formula frame algebra. Thus we show that the remarkable consistent truncations on S3, S4, S5 and S7 are in fact simply generalised Scherk–Schwarz reductions. This description leads directly to the standard non-linear scalar-field ansatze and as an application we give the full scalar-field ansatz for the type IIB truncation on S5
New Gaugings and Non-Geometry

We discuss the possible realisation in string/M theory of the recently discovered family of four-dimensional maximal math formula gauged supergravities, and of an analogous family of seven-dimensional half-maximal math formula gauged supergravities. We first prove a no-go theorem that neither class of gaugings can be realised via a compactification that is locally described by ten- or eleven-dimensional supergravity. In the language of Double Field Theory and its M theory analogue, this implies that the section condition must be violated. Introducing the minimal number of additional coordinates possible, we then show that the standard S3 and S7 compactifications of ten- and eleven-dimensional supergravity admit a new class of section-violating generalised frames with a generalised Lie derivative algebra that reproduces the embedding tensor of the math formula and math formula gaugings respectively. The physical meaning, if any, of these constructions is unclear. They highlight a number of the issues that arise when attempting to apply the formalism of Double Field Theory to non-toroidal backgrounds. Using a naive brane charge quantisation to determine the periodicities of the additional coordinates restricts the math formula gaugings to an infinite discrete set and excludes all the math formula gaugings other than the standard one
Half-maximal supersymmetry from exceptional field theory

We study $D \geq 4$-dimensional half-maximal flux backgrounds using
exceptional field theory. We define the relevant generalised structures and
also find the integrability conditions which give warped half-maximal
$\mathrm{Minkowski}_D$ and $\mathrm{AdS}_D$ vacua. We then show how to obtain
consistent truncations of type II / 11-dimensional SUGRA which break half the
supersymmetry. Such truncations can be defined on backgrounds admitting
exceptional generalised $\mathrm{SO}(d-1-N)$ structures, where $d = 11 - D$,
and $N$ is the number of vector multiplets obtained in the lower-dimensional
theory. Our procedure yields the most general embedding tensors satisfying the
linear constraint of half-maximal gauged SUGRA. We use this to prove that all
$D\geq 4$ half-maximal warped $\mathrm{AdS}_D$ and Minkowski$_D$ vacua of type
II / 11-dimensional SUGRA admit a consistent truncation keeping only the
gravitational supermultiplet. We also show to obtain heterotic double field
theory from exceptional field theory and comment on the M-theory / heterotic
duality. In five dimensions, we find a new $\mathrm{SO}(5,N)$ double field
theory with a $(6+N)$-dimensional extended space. Its section condition has one
solution corresponding to 10-dimensional ${\cal N}=1$ supergravity and another
yielding six-dimensional ${\cal N}=\left(2,0\right)$ SUGRA.Comment: 105 pages; v2: Added a section proving consistency of truncation at
  the level of the equations of motion, and some references; v3: Published
  version, minor typos correcte
Revisiting the O(3) Non-linear Sigma Model and Its Pohlmeyer Reduction

It is well known that sigma models in symmetric spaces accept equivalent
descriptions in terms of integrable systems such as the sine-Gordon equation
through Pohlmeyer reduction. In this paper, we study the mapping between known
solutions of the Euclidean O(3) non-linear sigma model, such as instantons,
merons and elliptic solutions that interpolate between the latter and solutions
of the Pohlmeyer reduced theory, namely the sinh-Gordon equation. It turns out
that instantons do not have a counterpart, merons correspond to the ground
state, while the class of elliptic solutions is characterized by a two to one
correspondence between solutions in the two descriptions.Comment: 27 pages, 3 figure
Covariant field equations in supergravity

Covariance is a useful property for handling supergravity theories. In this
paper, we prove a covariance property of supergravity field equations: under
reasonable conditions, field equations of supergravity are covariant modulo
other field equations. We prove that for any supergravity there exist such
covariant equations of motion, other than the regular equations of motion, that
are equivalent to the latter. The relations that we find between field
equations and their covariant form can be used to obtain multiplets of field
equations. In practice, the covariant field equations are easily found by
simply covariantizing the ordinary field equations.Comment: 31 pages; v2: version to be published; extended introduction and
  typos correcte
Non-linear Realizations and Higher Curvature Supergravity

We focus on non-linear realizations of local supersymmetry as obtained by
using constrained superfields in supergravity. New constraints, beyond those of
rigid supersymmetry, are obtained whenever curvature multiplets are affected as
well as higher derivative interactions are introduced. In particular, a new
constraint, which removes a very massive gravitino is introduced, and in the
rigid limit it merely reduces to an explicit supersymmetry breaking. Higher
curvature supergravities free of ghosts and instabilities are also obtained in
this way. Finally, we consider direct coupling of the goldstino multiplet to
the super Gauss--Bonnet multiplet and discuss the emergence of a new scalar
degree of freedom.Comment: 25 pp, 1 plot, published version, references adde
E-String Theory on Riemann Surfaces

We study compactifications of the 6d E-string theory, the theory of a small
E_8 instanton, to four dimensions. In particular we identify N=1 field theories
in four dimensions corresponding to compactifications on arbitrary Riemann
surfaces with punctures and with arbitrary non-abelian flat connections as well
as fluxes for the abelian sub-groups of the E_8 flavor symmetry. This sheds
light on emergent symmetries in a number of 4d N=1 SCFTs (including the `E7
surprise' theory) as well as leads to new predictions for a large number of
4-dimensional exceptional dualities and symmetries.Comment: 85 pages, 25 figures, harvma
Entanglement and Complete Positivity: Relevance and Manifestations in
  Classical Scalar Wave Optics

Entanglement of states and Complete Positivity of maps are concepts that have
achieved physical importance with the recent growth of quantum information
science. They are however mathematically relevant whenever tensor products of
complex linear (Hilbert) spaces are involved. We present such situations in
classical scalar paraxial wave optics where these concepts play a role:
propagation characteristics of coherent and partially coherent Gaussian beams;
and the definition and separability of the family of Twisted Gaussian Schell
Model (TGSM) beams. In the former, the evolution of the width of a projected
one-dimensional beam is shown to be a signature of entanglement in a
two-dimensional amplitude. In the latter, the partial transpose operation is
seen to explain key properties of TGSM beams.Comment: 7 pages Revtex 4-
An off-shell superspace reformulation of D=4, N=4 super-Yang-Mills
  theory

D=4, N=4 super-Yang-Mills theory has an off-shell superspace formulation in
terms of pure spinor superfields, which is directly inherited from the D=10
theory. That superspace, in particular the choice of pure spinor variables, is
less suitable for dealing with fields that are inherently 4-dimensional, such
as the superfields based on the scalars, which are gauge-covariant, and traces
of powers of scalars, which are gauge-invariant. We give a reformulation of
D=4, N=4 super-Yang-Mills theory in N=4 superspace, using inherently
4-dimensional pure spinors. All local degrees of freedom reside in a superfield
based on the physical scalars. The formalism should be suited for calculations
of correlators of traces of scalar superfields.Comment: 13 p
On the Holographic Entanglement Entropy for Non-smooth Entangling Curves
  in AdS(4)

We extend the calculations of holographic entanglement entropy in AdS(4) for
entangling curves with singular non-smooth points that generalize cusps. Our
calculations are based on minimal surfaces that correspond to elliptic
solutions of the corresponding Pohlmeyer reduced system. For these minimal
surfaces, the entangling curve contains singular points that are not cusps, but
the joint point of two logarithmic spirals one being the rotation of the other
by a given angle. It turns out that, similarly to the case of cusps, the
entanglement entropy contains a logarithmic term, which is absent when the
entangling curve is smooth. The latter depends solely on the geometry of the
singular points and not on the global characteristics of the entangling curve.
The results suggest that a careful definition of the geometric characteristic
of such a singular point that determines the logarithmic term is required,
which does not always coincide with the definition of the angle. Furthermore,
it is shown that the smoothness of the dependence of the logarithmic terms on
this characteristic is not in general guaranteed, depending on the uniqueness
of the minimal surface for the given entangling curve.Comment: 19 pages, 5 figure
Discrete scale invariance in holography revisited

In 2013, Balasubramanian presented a 5+1 dimensional holographic toy model
that allows for an exact solution to Einstein's equations in the bulk in which
the isometries of $AdS_5$ appear to be broken to an isometry group describing a
discretely scale invariant and Poincar\'e invariant setup [arXiv:1301.6653]. In
this paper, we investigate this solution in more detail. By analytically
solving the Killing equations, we prove that the full $AdS_5$ isometry group is
still present, although in a somewhat hidden way. We will also comment on the
prospects of finding other holographic bottom up toy models which allow for
solutions with discrete scale invariance or scale invariance without conformal
invariance in the future.Comment: 14 pages, 1 figur
Quantum Gates to other Universes

We present a microscopic model of a bridge connecting two large
Anti-de-Sitter Universes. The Universes admit a holographic description as
three-dimensional ${\cal N}=4$ supersymmetric gauge theories based on large
linear quivers, and the bridge is a small rank-$n$ gauge group that acts as a
messenger. On the gravity side, the bridge is a piece of a highly-curved
AdS$_5\times$S$_5$ throat carrying $n$ units of five-form flux. We derive a
universal expression for the mixing of the two massless gravitons: $M^2 \simeq
3n^2 (\kappa_4^2 + \kappa_4^{\prime\,2})/16\pi^2$, where $M$ is the mass
splitting of the gravitons, $\kappa_4^2, \kappa_4^{\prime\,2}$ are the
effective gravitational couplings of the AdS$_4$ Universes, and $n$ is the
quantized charge of the gate. This agrees with earlier results based on
double-trace deformations, with the important difference that the effective
coupling is here quantized. We argue that the apparent non-localities of
holographic double-trace models are resolved by integrating-in the (scarce)
degrees of freedom of the gate.Comment: 17 pages, 8 figures. Note added about an implicit assumption in the
  case of non-identical Universe
Supertranslations and Holography near the Horizon of Schwarzschild Black
  Holes

In this paper we review and discuss several aspects of supertranslations and
their associated algebras at the horizon of a Schwarzschild black hole. We will
compare two different approaches on horizon supertranslations, which were
recently considered in separate publications. Furthermore we describe a
possible holographic description of a Schwarzschild black hole in terms of a
large N boundary theory, which accommodates the Goldstone bosons of the horizon
supertranslations.Comment: 21 pages, replaced version contains some new references and corrected
  typo
SpaceTime from Hilbert Space: Decompositions of Hilbert Space as
  Instances of Time

There has been recent interest in identifying entanglement as the fundamental
concept from which space may emerge. We note that the particular way that a
Hilbert space is decomposed into tensor factors is important in what the
resulting geometry looks like. We then propose that time may be regarded as a
variable that parameterizes a family of such decompositions, thus giving rise
to a family of spatial geometries. As a proof of concept, this idea is
demonstrated in two toy models based on Kitaev's toric code, which feature a
dynamical change of dimension and topology.Comment: typos fixe
Black hole solutions in Gauss-Bonnet-massive gravity in the presence of
  power-Maxwell field

Motivated by recent progresses in the field of massive gravity, the paper at
hand investigates the thermodynamical structure of black holes with three
specific generalizations: i) Gauss-Bonnet gravity which is motivated from
string theory ii) PMI nonlinear electromagnetic field which is motivated from
perspective of the QED correction iii) massive gravity which is motivated by
obtaining the modification of standard general relativity. The exact solutions
of this setup are extracted which are interpreted as black holes. In addition,
thermodynamical quantities of the solutions are calculated and their critical
behavior are studied. It will be shown that although massive and Gauss-Bonnet
gravities are both generalizations in gravitational sector, they show opposing
effects regarding the critical behavior of the black holes. Furthermore, a
periodic effect on number of the phase transition is reported for variation of
the nonlinearity parameter and it will be shown that for super charged black
holes, system is restricted in a manner that prevents it to reach the critical
point and acquires phase transition. In addition, the effects of geometrical
structure on thermodynamical phase transition will be highlighted.Comment: 16 pages, 7 figure