pinecone/core-2020-05-10-deduplication huggingface dataset:
Unparticles and Anomalous Dimensions in the Cuprates

Motivated by the overwhelming evidence some type of quantum criticality
underlies the power-law for the optical conductivity and $T-$linear resistivity
in the cuprates, we demonstrate here how a scale-invariant or unparticle sector
can lead to a unifying description of the observed scaling forms. We adopt the
continuous mass formalism or multi band (flavor) formalism of the unparticle
sector by letting various microscopic parameters be mass-dependent. In
particular, we show that an effective mass that varies with the flavor index as
well as a running band edge and lifetime capture the AC and DC transport
phenomenology of the cuprates. A key consequence of the running mass is that
the effective dynamical exponent can differ from the underlying bare critical
exponent, thereby providing a mechanism for realizing the fractional values of
the dynamical exponent required in a previous analysis\cite{ Hartnoll:2015sea}.
We also predict that regardless of the bare dynamical exponent, $z$, a non-zero
anomalous dimension for the current is required. Physically, the anomalous
dimension arises because the charge depends on the flavor, mass or energy. The
equivalent phenomenon in a $d+1$ gravitational construction is the running of
the charge along the radial direction. The nature of the superconducting
instability in the presence of scale invariant stuff shows that the transition
temperature is not necessarily a monotonic function of the pairing interaction.Comment: 18 pages, 2 figure
On the Interpretation of a Possible $\sim 750$ GeV Particle Decaying
  into $\gamma \gamma$

We consider interpretations of the recent $\sim 3 \sigma$ reports by the CMS
and ATLAS collaborations of a possible $X(\sim 750~{\rm GeV})$ state decaying
into $\gamma \gamma$ final states. We focus on the possibilities that this is a
scalar or pseudoscalar electroweak isoscalar state produced by gluon-gluon
fusion mediated by loops of heavy fermions. We consider several models for
these fermions, including a single vector-like charge $2/3$ T quark, a doublet
of vector-like quarks $(T, B)$, and a vector-like generation of quarks, with or
without leptons that also contribute to the $X \to \gamma \gamma$ decay
amplitude. We also consider the possibility that $X(750)$ is a dark matter
mediator, with a neutral vector-like dark matter particle. These scenarios are
compatible with the present and prospective direct limits on vector-like
fermions from LHC Runs 1 and 2, as well as indirect constraints from
electroweak precision measurements, and we show that the required Yukawa-like
couplings between the $X$ particle and the heavy vector-like fermions are small
enough to be perturbative so long as the $X$ particle has dominant decay modes
into $gg$ and $\gamma \gamma$. The decays $X \to Z Z, Z \gamma$ and $W^+ W^-$
are interesting prospective signatures that may help distinguish between
different vector-like fermion scenarios.Comment: 36 pages, 7 figures. V2: typos corrected, references added, version
  submitted to journal. V3: Version accepted by JHE
$Spin(7)$ Compactifications and 1/4-BPS Vacua in Heterotic Supergravity

We continue the investigation into non-maximally symmetric compactifications
of the heterotic string. In particular, we consider compactifications where the
internal space is allowed to depend on two or more external directions. For
preservation of supersymmetry, this implies that the internal space must in
general be that of a $Spin(7)$ manifold, which leads to a $1/4$-BPS
four-dimensional supersymmetric perturbative vacuum breaking all but one
supercharge. We find that these solutions allow for internal geometries
previously excluded by the domain-wall-type solutions, and hence the resulting
four-dimensional superpotential is more generic. In particular, we find an
interesting resemblance to the superpotentials that appear in non-geometric
flux compactifications of type II string theory. If the vacua are to be used
for phenomenological applications, they must be lifted to maximal symmetry by
some non-perturbative or higher-order effect.Comment: 26 pages, minor corrections, Published versio
Type IIA Klebanov-Strassler: the hard way

We construct the T-dual of the Klebanov-Strassler solution on a small region
at the tip of the deformed conifold. The isometry coordinate we choose is the
correct one to obtain an NS5 brane wrapping a holomorphic curve in Type IIA, as
shown by a thorough analysis of the deformed conifold geometry. The shape of
the locus wrapped by the NS5 brane matches the predictions from the Type IIA
brane engineering construction dual to the $SU(N+M) \times SU(N)$ cascading
gauge theory. The same isometry is then used to T-dualize the solution obtained
by adding backreacted D3 branes to the Klebanov-Strassler solution. Our
construction is the first step in a program to test the stability of antibranes
in Type IIA backgrounds.Comment: 29 pages, 2 figures, references update
Blind spots for neutralino dark matter in the NMSSM

Spin-independent cross-section for neutralino dark matter scattering off
nuclei is investigated in the NMSSM. Several classes of blind spots for direct
detection of singlino-Higgsino dark matter are analytically identified,
including such that have no analog in the MSSM. It is shown that mixing of the
Higgs doublets with the scalar singlet has a big impact on the position of
blind spots in the parameter space. In particular, this mixing allows for more
freedom in the sign assignment for the parameters entering the neutralino mass
matrix, required for a blind spot to occur, as compared to the MSSM or the
NMSSM with decoupled singlet. Moreover, blind spots may occur for any
composition of a singlino-Higgsino LSP. Particular attention is paid to cases
with the singlet-dominated scalar lighter than the 125 GeV Higgs for which a
vanishing tree-level spin-independent scattering cross-section may result from
destructive interference between the Higgs and the singlet-dominated scalar
exchange. Correlations of the spin-independent scattering cross-section with
the Higgs observables are also discussed.Comment: 34 pages, 7 figure
The Universal One-Loop Effective Action

We present the universal one-loop effective action for all operators of
dimension up to six obtained by integrating out massive, non-degenerate
multiplets. Our general expression may be applied to loops of heavy fermions or
bosons, and has been checked against partial results available in the
literature. The broad applicability of this approach simplifies one-loop
matching from an ultraviolet model to a lower-energy effective field theory
(EFT), a procedure which is now reduced to the evaluation of a combination of
matrices in our universal expression, without any loop integrals to evaluate.
We illustrate the relationship of our results to the Standard Model (SM) EFT,
using as an example the supersymmetric stop and sbottom squark Lagrangian and
extracting from our universal expression the Wilson coefficients of
dimension-six operators composed of SM fields.Comment: 30 pages, v2 contains additional comments and corrects typos, version
  accepted for publication in JHE
BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and
  qq-characters

We study symmetries of quantum field theories involving topologically
distinct sectors of the field space. To exhibit these symmetries we define
special gauge invariant observables, which we call the $qq$-characters. In the
context of the BPS/CFT correspondence, using these observables, we derive an
infinite set of Dyson-Schwinger-type relations. These relations imply that the
supersymmetric partition functions in the presence of $\Omega$-deformation and
defects obey the Ward identities of two dimensional conformal field theory and
its $q$-deformations. The details will be discussed in the companion papers.Comment: 73 pages, paper 1 of a series of 5; two refs correcte
The production of a diphoton resonance via photon-photon fusion

Motivated by the recent LHC observation of an excess of diphoton events
around an invariant mass of 750 GeV, we discuss the possibility that this is
due to the decay of a new scalar or pseudoscalar resonance dominantly produced
via photon-photon fusion. We present a precise calculation of the corresponding
photon-photon luminosity in the inclusive and exclusive scenarios, and
demonstrate that the theoretical uncertainties associated with these are small.
In the inclusive channel, we show how simple cuts on the final state may help
to isolate the photon-photon induced cross section from any gluon-gluon or
vector boson fusion induced contribution. In the exclusive case, that is where
both protons remain intact after the collision, we present a precise cross
section evaluation and show how this mode is sensitive to the parity of the
object, as well as potential $CP$-violating effects. We also comment on the
case of heavy-ion collisions and consider the production of new heavy
colourless fermions, which may couple to such a resonance.Comment: 27 pages, 5 figures. Version accepted for publication in JHE
The N=2 superconformal bootstrap.

In this work we initiate the conformal bootstrap program for  N=2N=2  super-conformal field theories in four dimensions. We promote an abstract operator-algebraic viewpoint in order to unify the description of Lagrangian and non-Lagrangian theories, and formulate various conjectures concerning the landscape of theories. We analyze in detail the four-point functions of flavor symmetry current multiplets and of  N=2N=2  chiral operators. For both correlation functions we review the solution of the superconformal Ward identities and describe their superconformal block decompositions. This provides the foundation for an extensive numerical analysis discussed in the second half of the paper. We find a large number of constraints for operator dimensions, OPE coefficients, and central charges that must hold for any  N=2N=2  superconformal field theory
From global to heavy-light: 5-point conformal blocks

We consider Virasoro conformal blocks in the large central charge limit.
There are different regimes depending on the behavior of the conformal
dimensions. The most simple regime is reduced to the global sl(2, C) conformal
blocks while the most complicated one is known as the classical conformal
blocks. Recently, Fitzpatrick, Kaplan, and Walters showed that the two regimes
are related through the intermediate stage of the so-called heavy-light
semiclassical limit. We study this idea in the particular case of the 5-point
conformal block. To find the 5-point global block we use the projector
technique and the Casimir operator approach. Furthermore, we discuss the
relation between the global and the heavy-light limits and construct the
heavy-light block from the global block. In this way we reproduce our previous
results for the 5-point perturbative classical block obtained by means of the
monodromy method.Comment: 19 pages, v2: minor corrections, typos removed; v3: more comments,
  extended Introduction and Conclusion, refs added, journal versio
Near-Horizon Geometry and Warped Conformal Symmetry

We provide boundary conditions for three-dimensional gravity including
boosted Rindler spacetimes, representing the near-horizon geometry of
non-extremal black holes or flat space cosmologies. These boundary conditions
force us to make some unusual choices, like integrating the canonical boundary
currents over retarded time and periodically identifying the latter. The
asymptotic symmetry algebra turns out to be a Witt algebra plus a twisted u(1)
current algebra with vanishing level, corresponding to a twisted warped CFT
that is qualitatively different from the ones studied so far in the literature.
We show that this symmetry algebra is related to BMS by a twisted Sugawara
construction and exhibit relevant features of our theory, including matching
micro- and macroscopic calculations of the entropy of zero-mode solutions. We
confirm this match in a generalization to boosted Rindler-AdS. Finally, we show
how Rindler entropy emerges in a suitable limit.Comment: 26 pages + appendices, v2: added refs. & comments and corrected
  T-independent part of free energy for Rindler-Ad
3D supergravity from wrapped M5-branes

Through consistent Kaluza-Klein reduction, we construct 3D $\mathcal{N} =2$
gauged supergravities corresponding to twisted compactifications of M5-branes
on a product of constant curvature Riemann surfaces, including
K\"{a}hler-Einstein four-manifolds. We extend the reduction to fermionic
supersymmetry variations in order to determine the 3D Killing spinor equations
and classify all timelike supersymmetric solutions. As a by-product, we
identify an infinite class of new supersymmetric warped $AdS_3$ (G\"odel) and
warped $d S_3$ solutions. Moreover, we show that the superpotential $T$ encodes
the central charge and R symmetry of the dual $\mathcal{N} = (0,2)$ SCFTs in
the large $N$ limit. We demonstrate that the R symmetry matches the canonical
$U(1)$ isometry from existing classifications of supersymmetric $AdS_3$
solutions to 11D supergravity with $\mathcal{N} = (0,2)$ supersymmetry.Comment: 28 pages; v2 references updated, typos corrected, further details of
  11D uplift of AdS3 vacua adde
On the reduction of generalized polylogarithms to $\text{Li}_n$ and
  $\text{Li}_{2,2}$ and on the evaluation thereof

We give expressions for all generalized polylogarithms up to weight four in
terms of the functions log, $\text{Li}_n$, and $\text{Li}_{2,2}$, valid for
arbitrary complex variables. Furthermore we provide algorithms for manipulation
and numerical evaluation of $\text{Li}_n$ and $\text{Li}_{2,2}$, and add codes
in Mathematica and C++ implementing the results. With these results we
calculate a number of previously unknown integrals, which we add in App. C.Comment: 35 pages, 4 figures. Ancillary files are attached. Published version
  with small typos fixed and an extra formula added in App
Non-minimal CW inflation, electroweak symmetry breaking and the 750 GeV
  anomaly

We study whether the hinted 750 GeV resonance at the LHC can be a
Coleman-Weinberg inflaton which is non-minimally coupled to gravity. Since the
inflaton must couple to new charged and coloured states to reproduce the LHC
diphoton signature, the same interaction can generate its effective potential
and trigger the electroweak symmetry breaking via the portal coupling to the
Higgs boson. This inflationary scenario predicts a lower bound on the
tensor-to-scalar ratio of $r\gtrsim 0.006$, where the minimal value corresponds
to the measured spectral index $n_s\simeq0.97$. However, we find that the
compatibility with the LHC diphoton signal requires exotic new physics at
energy scales accessible at the LHC. We study and quantify the properties of
the predicted exotic particles.Comment: 11 pages, 1 figure, 2 tables, revised version published on JHE
CP asymmetry in heavy Majorana neutrino decays at finite temperature:
  the nearly degenerate case

In a model where Majorana neutrinos heavier than the electroweak scale couple
to Standard Model Higgs bosons and leptons, we compute systematically thermal
corrections to the direct and indirect CP asymmetries in the Majorana neutrino
decays. These are key ingredients entering the equations that describe the
thermodynamic evolution of the induced lepton-number asymmetry eventually
leading to the baryon asymmetry in the universe. We compute the thermal
corrections in an effective field theory framework that assumes the temperature
smaller than the masses of the Majorana neutrinos and larger than the
electroweak scale, and we provide the leading corrections in an expansion of
the temperature over the mass. In this work, we consider the case of two
Majorana neutrinos with nearly degenerate masses.Comment: Equations (B.25), (B.26) and (B.27) corrected in the parts depending
  on the SU(2) gauge coupling; final results modified accordingl
Mass Limit for Light Flavon with Residual $Z_3$ Symmetry

We present a modified Altarelli and Feruglio $A_4$ model where an additional
$A_4$ singlet-prime flavon is introduced. In this model, non-zero $\theta
_{13}$ is given by this additional $A_4$ singlet-prime flavon which breaks
tri-bimaximal mixing. In the framework of the supersymmetry with $U(1)_R$
symmetry, we obtain vacuum expectation values (VEVs) and VEV alignments of
flavons through driving fields. It is considered that flavon induces
distinctive flavor violating process if flavon mass is light. Assuming mass of
SUSY particles are sufficiently heavy so that the SUSY contributions can be
negligible, we discuss the flavor violating Yukawa interaction through flavon
exchange in the charged lepton sector. According to the potential analysis, the
VEV of flavon breaks $A_4$ down to $Z_3$ in the charged lepton sector and
relation among flavon masses is determined. Thanks for the residual $Z_3$
symmetry, many lepton flavor violating decay modes are forbidden except for
$\tau \rightarrow \mu \mu \bar{e}$ and $\tau \rightarrow e e \bar{\mu}$. A mass
limit of the flavon from these three-body decay modes is $60$~GeV taking into
account the current experimental lower bounds at the Belle experiment. In our
model, we predict a ratio of the branching ratios $\tau \rightarrow \mu \mu
\bar{e}$ and $\tau \rightarrow e e \bar{\mu}$ by using known charged lepton
masses. We also find that the production cross section for the flavon can be
$\mathcal{O}(1)$ fb. Thus the flavon would be found at the LHC run 2 by
searching for 4-tau lepton signal.Comment: 14 pages, final versio
Modular properties of full 5D SYM partition function

We study properties of the full partition function for the $U(1)$ 5D
$\mathcal{N}=2^*$ gauge theory with adjoint hypermultiplet of mass $M$. This
theory is ultimately related to abelian 6D (2,0) theory. We construct the full
non-perturbative partition function on toric Sasaki-Einstein manifolds by
gluing flat copies of the Nekrasov partition function and we express the full
partition function in terms of the generalized double elliptic gamma function
$G_2^C$ associated with a certain moment map cone $C$. The answer exhibits a
curious $SL(4,\mathbb{Z})$ modular property. Finally, we propose a set of rules
to construct the partition function that resembles the calculation of 5D
supersymmetric partition function with the insertion of defects of various
co-dimensions.Comment: 32 pages, refs and comments added, example adde
Comments on Jacobson’s “entanglement equilibrium and the Einstein equation”

Using holographic calculations, we examine a key assumption made in Jacobson’s recent argument for deriving Einstein’s equations from vacuum entanglement entropy. Our results involving relevant operators with low conformal dimensions seem to conflict with Jacobson’s assumption. However, we discuss ways to circumvent this problem.Fil: Casini, Horacio German. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; ArgentinaFil: Galante, Damián A.. Western University; Canadá. Perimeter Institute for Theoretical Physics; CanadáFil: Myers, Robert C.. Perimeter Institute for Theoretical Physics; Canad
On the reconstruction of Lifshitz spacetimes

We consider the reconstruction of a Lifshitz spacetime from three
perspectives: differential entropy (or "hole-ography"), causal wedges and
entanglement wedges. We find that not all time-varying bulk curves in vacuum
Lifshitz can be reconstructed via the differential entropy approach, adding a
caveat to the general analysis of \cite{Headrick:2014eia}. We show that the
causal wedge for Lifshitz spacetimes degenerates, while the entanglement wedge
requires the additional consideration of a set of boundary-emanating
light-sheets. The need to include bulk surfaces with no clear field theory
interpretation in the differential entropy construction and the change in the
entanglement wedge formation both serve as warnings against a naive application
of holographic entanglement entropy proposals in Lifshitz spacetimes.Comment: 40 pages, 14 figures; v2: references adde
Folded Supersymmetry with a Twist

Folded supersymmetry (f-SUSY) stabilizes the weak scale against radiative
corrections from the top sector via scalar partners whose gauge quantum numbers
differ from their Standard Model counterparts. This non-trivial pairing of
states can be realized in extra-dimensional theories with appropriate
supersymmetry-breaking boundary conditions. We present a class of calculable
f-SUSY models that are parametrized by a non-trivial twist in 5D boundary
conditions and can accommodate the observed Higgs mass and couplings. Although
the distinctive phenomenology associated with the novel folded states should
provide strong evidence for this mechanism, the most stringent constraints are
currently placed by conventional supersymmetry searches. These models remain
minimally fine-tuned in light of LHC8 data and provide a range of both standard
and exotic signatures accessible at LHC13.Comment: 25 pages plus appendices, 7 figures, fixed sign error, figures
  updated, conclusions unchanged, journal versio
Holographic renormalisation group flows and renormalisation from a
  Wilsonian perspective

From the Wilsonian point of view, renormalisable theories are understood as
submanifolds in theory space emanating from a particular fixed point under
renormalisation group evolution. We show how this picture precisely applies to
their gravity duals. We investigate the Hamilton-Jacobi equation satisfied by
the Wilson action and find the corresponding fixed points and their
eigendeformations, which have a diagonal evolution close to the fixed points.
The relevant eigendeformations are used to construct renormalised theories. We
explore the relation of this formalism with holographic renormalisation. We
also discuss different renormalisation schemes and show that the solutions to
the gravity equations of motion can be used as renormalised couplings that
parametrise the renormalised theories. This provides a transparent connection
between holographic renormalisation group flows in the Wilsonian and
non-Wilsonian approaches. The general results are illustrated by explicit
calculations in an interacting scalar theory in AdS space.Comment: 63 pages. Minor changes and references added. Matches JHEP versio
Could reggeon field theory be an effective theory for QCD in the Regge
  limit?

In this paper we investigate the possibility whether, in the extreme limit of
high energies and large transverse distances, reggeon field theory might serve
as an effective theory of high energy scattering for strong interactions. We
analyse the functional renormalization group equations (flow equations) of
reggeon field theory and search for fixed points in the space of (local)
reggeon field theories. We study in complementary ways the candidate for the
scaling solution, investigate its main properties and briefly discuss possible
physical interpretations.Comment: 35 pages, 6 figures, LaTeX, typos corrected, reference adde
Thermalization of Mutual Information in Hyperscaling Violating
  Backgrounds

We study certain features of scaling behaviors of the mutual information
during a process of thermalization, more precisely we extend the time scaling
behavior of mutual information which has been discussed in
\cite{Alishahiha:2014jxa} to time-dependent hyperscaling violating geometries.
We use the holographic description of entanglement entropy for two disjoint
system consisting of two parallel strips whose widths are much larger than the
separation between them. We show that during the thermalization process, the
dynamical exponent plays a crucial rule in reading the general time scaling
behavior of mutual information (\emph{e.g.,} at the pre-local-equilibration
regime). It is shown that the scaling violating parameter can be employed to
define an effective dimension.Comment: 24 pages, no figures, conclusion and introduction improved, ref.s
  added, typos corrected, generalization of arXiv:1406.7677 (thermalization of
  mutual information part) to time-dependent hyperscaling violating geometries,
  accepted for publication in JHE