pinecone/core-2020-05-10-deduplication huggingface dataset:
Anomalous dimensions of higher spin currents in large N CFTs

We examine anomalous dimensions of higher spin currents in the critical O(N)
scalar model and the Gross-Neveu model in arbitrary d dimensions. These two
models are proposed to be dual to the type A and type B Vasiliev theories,
respectively. We reproduce the known results on the anomalous dimensions to the
leading order in 1/N by using conformal perturbation theory. This work can be
regarded as an extension of previous work on the critical O(N) scalars in 3
dimensions, where it was shown that the bulk computation for the masses of
higher spin fields on AdS_4 can be mapped to the boundary one in conformal
perturbation theory. The anomalous dimensions of the both theories agree with
each other up to an overall factor depending only on d, and we discuss the
coincidence for d=3 by utilizing N=2 supersymmetry.Comment: 36 pages, 5 figures, minor changes, references added, published
  versio
Next-to-leading-order electroweak corrections to the production of four
  charged leptons at the LHC

We present a state-of-the-art calculation of the next-to-leading-order
electroweak corrections to ZZ production, including the leptonic decays of the
Z bosons into $\mu^+\mu^-\mathrm{e}^+\mathrm{e}^-$ or $\mu^+\mu^-\mu^+\mu^-$
final states. We use complete leading-order and next-to-leading-order matrix
elements for four-lepton production, including contributions of virtual photons
and all off-shell effects of Z bosons, where the finite Z-boson width is taken
into account using the complex-mass scheme. The matrix elements are implemented
into Monte Carlo programs allowing for the evaluation of arbitrary differential
distributions. We present integrated and differential cross sections for the
LHC at 13 TeV both for an inclusive setup where only lepton identification cuts
are applied, and for a setup motivated by Higgs-boson analyses in the
four-lepton decay channel. The electroweak corrections are divided into
photonic and purely weak contributions. The former show the well-known
pronounced tails near kinematical thresholds and resonances; the latter are
generically at the level of $\sim-5\%$ and reach several $-10\%$ in the
high-energy tails of distributions. Comparing the results for
$\mu^+\mu^-\mathrm{e}^+\mathrm{e}^-$ and $\mu^+\mu^-\mu^+\mu^-$ final states,
we find significant differences mainly in distributions that are sensitive to
the $\mu^+\mu^-$ pairing in the $\mu^+\mu^-\mu^+\mu^-$ final state. Differences
between $\mu^+\mu^-\mathrm{e}^+\mathrm{e}^-$ and $\mu^+\mu^-\mu^+\mu^-$
channels due to interferences of equal-flavour leptons in the final state can
reach up to $10\%$ in off-shell-sensitive regions. Contributions induced by
incoming photons, i.e. photon-photon and quark-photon channels, are included,
but turn out to be phenomenologically unimportant.Comment: 37 pages, 48 eps figure
Regge meets collinear in strongly-coupled $\mathcal{N} = 4$ super
  Yang-Mills

We revisit the calculation of the six-gluon remainder function in planar
$\mathcal{N} = 4$ super Yang-Mills theory from the strong coupling TBA in the
multi-Regge limit and identify an infinite set of kinematically subleading
terms. These new terms can be compared to the strong coupling limit of the
finite-coupling expressions for the impact factor and the BFKL eigenvalue
proposed by Basso et al. in arXiv:1407.3766, which were obtained from an
analytic continuation of the Wilson loop OPE. After comparing the results order
by order in those subleading terms, we show that it is possible to precisely
map both formalisms onto each other. A similar calculation can be carried out
for the seven-gluon amplitude, the result of which shows that the central
emission vertex does not become trivial at strong coupling.Comment: 27 pages, 2 figure
Sub-subleading soft gravitons and large diffeomorphisms

We present strong evidence that the sub-subleading soft theorem in
semi-classical (tree level) gravity discovered by Cachazo and Strominger is
equivalent to the conservation of asymptotic charges associated to a new class
of vector fields not contained within the previous extensions of BMS algebra.
Our analysis crucially relies on analyzing the hitherto established
equivalences between soft theorems and Ward identities from a new perspective.
In this process we naturally (re)discover a class of `magnetic' charges at null
infinity that are associated to the dual of the Weyl tensor.Comment: 41 page
${\cal N}=2$ heterotic string compactifications on orbifolds of
  $K3\times T^2$

We study ${\cal N}=2$ compactifications of $E_8\times E_8$ heterotic string
theory on orbifolds of $K3 \times T^2$ by $g'$ which acts as an $\mathbb{Z}_N$
automorphism of $K3$ together with a$1/N$ shift on a circle of $T^2$. The
orbifold action $g'$ corresponds to the $26$ conjugacy classes of the Mathieu
group $M_{24}$. We show that for the standard embedding the new supersymmetric
index for these compactifications can always be decomposed into the elliptic
genus of $K3$ twisted by $g'$. The difference in one-loop corrections to the
gauge couplings are captured by automorphic forms obtained by the theta lifts
of the elliptic genus of $K3$ twisted by $g'$. We work out in detail the case
for which $g'$ belongs to the equivalence class $2B$. We then investigate all
the non-standard embeddings for$K3$ realized as a $T^4/\mathbb{Z}_\nu$ orbifold
with $\nu = 2, 4$ and $g'$ the $2A$ involution. We show that for non-standard
embeddings the new supersymmetric index as well as the difference in one-loop
corrections to the gauge couplings are completely characterized by the
instanton numbers of the embeddings together with the difference in number of
hypermultiplets and vector multiplets in the spectrum.Comment: 45 pages, Mathematica files included in the sourc
Non-vanishing Superpotentials in Heterotic String Theory and Discrete
  Torsion

We study the non-perturbative superpotential in E_8 x E_8 heterotic string
theory on a non-simply connected Calabi-Yau manifold X, as well as on its
simply connected covering space \tilde{X}. The superpotential is induced by the
string wrapping holomorphic, isolated, genus 0 curves. According to the residue
theorem of Beasley and Witten, the non-perturbative superpotential must vanish
in a large class of heterotic vacua because the contributions from curves in
the same homology class cancel each other. We point out, however, that in
certain cases the curves treated in the residue theorem as lying in the same
homology class, can actually have different area with respect to the physical
Kahler form and can be in different homology classes. In these cases, the
residue theorem is not directly applicable and the structure of the
superpotential is more subtle. We show, in a specific example, that the
superpotential is non-zero both on \tilde{X} and on X. On the non-simply
connected manifold X, we explicitly compute the leading contribution to the
superpotential from all holomorphic, isolated, genus 0 curves with minimal
area. The reason for the non-vanishing of the superpotental on X is that the
second homology class contains a finite part called discrete torsion. As a
result, the curves with the same area are distributed among different torsion
classes and, hence, do not cancel each other.Comment: 44 page
Matrix models from localization of five-dimensional supersymmetric
  noncommutative U(1) gauge theory

We study localization of five-dimensional supersymmetric $U(1)$ gauge theory
on $\mathbb{S}^3 \times \mathbb{R}_{\theta}^{2}$ where
$\mathbb{R}_{\theta}^{2}$ is a noncommutative (NC) plane. The theory can be
isomorphically mapped to three-dimensional supersymmetric $U(N \to \infty)$
gauge theory on $\mathbb{S}^3$ using the matrix representation on a separable
Hilbert space on which NC fields linearly act. Therefore the NC space
$\mathbb{R}_{\theta}^{2}$ allows for a flexible path to derive matrix models
via localization from a higher-dimensional supersymmetric NC $U(1)$ gauge
theory. The result shows a rich duality between NC $U(1)$ gauge theories and
large $N$ matrix models in various dimensions.Comment: 50 pages, 2 figures; v2 corrected typo
On holographic disorder-driven metal-insulator transitions

We give a minimal holographic model of a disorder-driven metal-insulator
transition. It consists in a CFT with a charge sector and a
translation-breaking sector that interact in the most generic way allowed by
the symmetries and by dynamical consistency. In the gravity dual, it reduces to
a Massive Gravity-Maxwell model with new direct couplings between the Maxwell
and metric that are allowed when gravity is massive. We show that, generically,
the effect of disorder is to decrease the DC electrical conductivity. This
happens to such an extent that the conductivity does not obey any lower bound
and can be very small in the insulating phase. In some cases, the large
disorder limit produces gradient instabilities that hint at the formation of
modulated phases.Comment: 25 pages, 6 figures, minor revisions, presentation improved,
  references adde
Supersymmetric AdS$_{5}$ solutions of type IIB supergravity without D3
  branes

We analyse the most general bosonic supersymmetric solutions of type IIB
supergravity whose metrics are warped products of five-dimensional anti-de
Sitter space (AdS$_5$) with a five-dimensional Riemannian manifold $M_{5}$,
where the five-form flux vanishes, while all remaining fluxes are allowed to be
non-vanishing consistent with SO(4,2) symmetry. This completes the program of
classifying all supersymmetric solutions of ten and eleven-dimensional
supergravity with an AdS$_5$ factor. We investigate the supersymmetry
conditions in some special cases, and demonstrate how these are satisfied by a
solution originally found in arXiv:1410.2650[hep-th], utilising the method of
non-Abelian T-duality.Comment: 33 pages; v2 references added, minor change to conclusio
New classes of bi-axially symmetric solutions to four-dimensional
  Vasiliev higher spin gravity

We present new infinite-dimensional spaces of bi-axially symmetric
asymptotically anti-de Sitter solutions to four-dimensional Vasiliev higher
spin gravity, obtained by modifications of the Ansatz used in arXiv:1107.1217,
which gave rise to a Type-D solution space. The current Ansatz is based on
internal semigroup algebras (without identity) generated by exponentials formed
out of the bi-axial symmetry generators. After having switched on the vacuum
gauge function, the resulting generalized Weyl tensor is given by a sum of
generalized Petrov type-D tensors that are Kerr-like or 2-brane-like in the
asymptotic AdS4 region, and the twistor space connection is smooth in twistor
space over finite regions of spacetime. We provide evidence for that the
linearized twistor space connection can be brought to Vasiliev gauge.Comment: v3: 48 pages; minor modifications; published on JHEP with additional
  typesettin
Heavy Fields and Gravity

We study the effects of heavy fields on 4D spacetimes with flat, de Sitter
and anti-de Sitter asymptotics. At low energies, matter generates specific,
calculable higher derivative corrections to the GR action which perturbatively
alter the Schwarzschild-$(A)dS$ family of solutions. The effects of massive
scalars, Dirac spinors and gauge fields are each considered. The six-derivative
operators they produce, such as $\sim R^{3}$ terms, generate the leading
corrections. The induced changes to horizon radii, Hawking temperatures and
entropies are found. Modifications to the energy of large $AdS$ black holes are
derived by imposing the first law. An explicit demonstration of the replica
trick is provided, as it is used to derive black hole and cosmological horizon
entropies. Considering entropy bounds, it's found that scalars and fermions
increase the entropy one can store inside a region bounded by a sphere of fixed
size, but vectors lead to a decrease, oddly. We also demonstrate, however, that
many of the corrections fall below the resolving power of the effective field
theory and are therefore untrustworthy. Defining properties of black holes,
such as the horizon area and Hawking temperature, prove to be remarkably robust
against higher derivative gravitational corrections.Comment: 47 pages, 2 figures. v2: References added and beta functions for a_1
  and a_2 in (3.20) corrected (these errors had no effect on any conclusions
Universality of P-V Criticality in Horizon Thermodynamics

We study P-V criticality of black holes in Lovelock gravities in the context
of horizon thermodynamics. The corresponding first law of horizon
thermodynamics emerges as one of the Einstein-Lovelock equations and assumes
the universal (independent of matter content) form dE=TdS-PdV, where P is
identified with the total pressure of all matter in the spacetime (including a
cosmological constant Lambda if present). We compare this approach to recent
advances in extended phase space thermodynamics of asymptotically AdS black
holes where the "standard" first law of black hole thermodynamics is extended
to include a pressure-volume term, where the pressure is entirely due to the
(variable) cosmological constant. We show that both approaches are quite
different in interpretation. Provided there is sufficient non-linearity in the
gravitational sector, we find that horizon thermodynamics admits the same
interesting black hole phase behaviour seen in the extended case, such as a
Hawking-Page transition, Van der Waals like behaviour, and the presence of a
triple point. We also formulate the Smarr formula in horizon thermodynamics and
discuss the interpretation of the quantity E appearing in the horizon first
law.Comment: 11 pages, 5 figure
Exploring the Top-Higgs FCNC Couplings at Polarized Linear Colliders
  with Top Spin Observables

We study the nature of the flavor changing neutral couplings of the top quark
with the Higgs boson and the up/charm quark in the $t\bar{t}$ production at
linear colliders. There are previous bounds on such tqH couplings at both,
linear and hadronic colliders, with the assumption that it couples equally to
the left and the right handed fermions. In this paper we examine the chirality
of the tqH coupling and construct different observables which will be sensitive
to it. The kinematics of the emitted q from t $\rightarrow$ qH in $t\bar{t}$
production is discussed and it was found that the polar angle distribution of q
is sensitive to the chiral nature of tqH couplings. The observables in the
context of top-antitop spin correlations, which are sensitive to new physics in
the top decay are considered using different spin-quantization bases. It was
found that in particular the off-diagonal basis can be useful to distinguish
among the chiral tqH couplings. The sensitivity of the unpolarized ILC in
probing the couplings at the 3$\sigma$ level at $\sqrt{s}$ = 500 GeV and L =
500 fb$^{-1}$ is also studied, resulting in predicted BR(t $\rightarrow$ qH) <
1.19 $\times 10^{-3}$. This limit is further improved to BR(t $\rightarrow$ qH)
< 8.84 $\times 10^{-4}$ with the inclusion of initial beam polarization of left
handed electrons and right handed positrons.Comment: 32 pages, 24 figures, minor revisions, the version to be published in
  JHE
Twisted Supersymmetry in a Deformed Wess-Zumino Model in (2+1)
  Dimensions

Non-anticommutative deformations have been studied in the context of
supersymmetry (SUSY) in three and four space-time dimensions, and the general
picture is that highly nontrivial to deform supersymmetry in a way that still
preserves some of its important properties, both at the formal algebraic level
(e.g., preserving the associativity of the deformed theory) as well as at the
physical level (e.g., maintaining renormalizability). The Hopf algebra
formalism allows the definition of algebraically consistent deformations of
SUSY, but this algebraic consistency does not guarantee that physical models
build upon these structures will be consistent from the physical point of view.
We will investigate a deformation induced by a Drinfel'd twist of the ${\cal
N}=1$ SUSY algebra in three space-time dimensions. The use of the Hopf algebra
formalism allows the construction of deformed ${\cal N}=1$ SUSY algebras that
should still preserve a deformed version of supersymmetry. We will construct
the simplest deformed version of the Wess-Zumino model in this context, but we
will show that despite the consistent algebraic structure, the model in
question is not invariant under SUSY transformation and is not renormalizable.
We will comment on the relation of these results with previous ones discussed
in the literature regarding similar four-dimensional constructions.Comment: 24 pages, 4 figure
Exact $\nabla^4 R^4$ couplings and helicity supertraces

In type II string theory compactified on a $d$-dimensional torus $T^d$ down
to $D=10-d$ dimensions, the $R^4$ and $\nabla^4 R^4$ four-graviton couplings
are known exactly, for all values of the moduli, in terms of certain Eisenstein
series of the U-duality group $E_{d}(\mathbb{Z})$. In the limit where one
circle in the torus becomes large, these couplings are expected to reduce to
their counterpart in dimension $D+1$, plus threshold effects and exponentially
suppressed corrections corresponding to BPS black holes in dimension $D+1$
whose worldline winds around the circle. By combining the weak coupling and
large radius limits, we determine these exponentially suppressed corrections
exactly, and demonstrate that the contributions of 1/4-BPS black holes to the
$\nabla^4 R^4$ coupling are proportional to the appropriate helicity
supertrace. Mathematically, our results provide the complete Fourier expansion
of the next-to-minimal theta series of $E_{d+1}(\mathbb{Z})$ with respect to
the maximal parabolic subgroup with Levi component $E_{d}$ for $d\leq 6$, and
the complete Abelian part of the Fourier expansion of the same for $d=7$.Comment: 40 page
Hexagon POPE: effective particles and tree level resummation

We present the resummation of the full Pentagon Operator Product Expansion
series of the hexagon Wilson loop in planar $\mathcal N=4$ SYM at tree level.
We do so by considering the one effective particle states formed by a
fundamental flux tube excitation and an arbitrary number of the so called
"small fermions" which are then integrated out. We present our proposals for
the one effective particle measures at finite coupling. By evaluating these
measures at tree level and summing over all one effective particle states we
reproduce the full 6 point tree level amplitude.Comment: 29 pages, 8 figure
Next-to-soft corrections to high energy scattering in QCD and gravity

We examine the Regge (high energy) limit of 4-point scattering in both QCD
and gravity, using recently developed techniques to systematically compute all
corrections up to next-to-leading power in the exchanged momentum i.e. beyond
the eikonal approximation. We consider the situation of two scalar particles of
arbitrary mass, thus generalising previous calculations in the literature. In
QCD, our calculation describes power-suppressed corrections to the Reggeisation
of the gluon. In gravity, we confirm a previous conjecture that next-to-soft
corrections correspond to two independent deflection angles for the incoming
particles. Our calculations in QCD and gravity are consistent with the
well-known double copy relating amplitudes in the two theories.Comment: 37 pages, 9 figure
Naturalness from a Composite Top?

We consider a theory with composite top quarks but an elementary Higgs boson.
The hierarchy problem can be solved by supplementing TeV scale top
compositeness with either supersymmetry or Higgs compositeness appearing at the
multi-TeV scale. The Higgs boson couples to uncolored partons within the top
quark. We study how this approach can give rise to a novel screening effect
that suppresses production of the colored top partners at the LHC. Strong
constraints arise from Z to bb, as well potentially from flavor physics.
Independent of flavor considerations, current constraints imply a compositeness
scale near a TeV; this implies that the model is likely tuned at the percent
level. Four top quark production at the LHC is a smoking-gun probe of this
scenario. New CP violation in D meson mixing is also possible.Comment: Improved discussion of precision electroweak constraints. Expanded
  discussion of potential mixing between composite and elementary fields.
  Version to appear in JHE
Warped K\"ahler potentials and fluxes

The four-dimensional effective theory for type IIB warped flux
compactifications proposed in [1] is completed by taking into account the
backreaction of the K\"ahler moduli on the three-form fluxes. The only required
modification consists in a flux-dependent contribution to the chiral fields
parametrising the K\"ahler moduli. The resulting supersymmetric effective
theory satisfies the no-scale condition and consistently combines previous
partial results present in the literature. Similar results hold for M-theory
warped compactifications on Calabi-Yau fourfolds, whose effective field theory
and K\"ahler potential are also discussed.Comment: 36 pages. v2: published version, typos corrected and comments adde
Chiral Closed strings: Four massless states scattering amplitude

We compute the scattering amplitudes of four massless states for chiral
(closed) bosonic and type II superstrings using the Kawai-Lewellen-Tye ($KLT$)
factorization method. The amplitude in the chiral bosonic case is identical to
a field theory amplitude corresponding to the spin-$2$ tachyon, massless
gravitational sector and massive spin-2 tardyon states of the spectrum. Chiral
type II superstrings amplitude only possess poles associated with the massless
gravitational sector. We briefly discuss the extension of the calculation to
heterotic superstrings.Comment: 30 pages, typos fixed, the numbering of the equations is slightly
  different from the corrected version accepted in JHEP due to different macros
  Latex package
On the Higher-Spin Spectrum in Large N Chern-Simons Vector Models

Chern-Simons gauge theories coupled to massless fundamental scalars or
fermions define interesting non-supersymmetric 3d CFTs that possess approximate
higher-spin symmetries at large N. In this paper, we compute the scaling
dimensions of the higher-spin operators in these models, to leading order in
the 1/N expansion and exactly in the 't Hooft coupling. We obtain these results
in two independent ways: by using conformal symmetry and the classical
equations of motion to fix the structure of the current non-conservation, and
by a direct Feynman diagram calculation. The full dependence on the 't Hooft
coupling can be restored by using results that follow from the weakly broken
higher-spin symmetry. This analysis also allows us to obtain some explicit
results for the non-conserved, parity-breaking structures that appear in planar
three-point functions of the higher-spin operators. At large spin, we find that
the anomalous dimensions grow logarithmically with the spin, in agreement with
general expectations. This logarithmic behavior disappears in the strong
coupling limit, where the anomalous dimensions turn into those of the critical
O(N) or Gross-Neveu models, in agreement with the conjectured 3d bosonization
duality.Comment: 52 pages, 7 figures. v3: Minor correction
Lorentzian Condition in Holographic Cosmology

We derive a sufficient set of conditions on the Euclidean boundary theory in
dS/CFT for it to predict classical, Lorentzian bulk evolution at large spatial
volumes. Our derivation makes use of a canonical transformation to express the
bulk wave function at large volume in terms of the sources of the dual
partition function. This enables a sharper formulation of dS/CFT. The
conditions under which the boundary theory predicts classical bulk evolution
are stronger than the criteria usually employed in quantum cosmology. We
illustrate this in a homogeneous isotropic minisuperspace model of gravity
coupled to a scalar field in which we identify the ensemble of classical
histories explicitly.Comment: 34 pages, 6 figures, revtex