pinecone/core-2020-05-10-deduplication huggingface dataset:
De Alfaro, Fubini and Furlan from multi Matrix Systems

We consider the quantum mechanics of an even number of space indexed
hermitian matrices. Upon complexification, we show that a closed subsector
naturally parametrized by a matrix valued radial coordinate has a description
in terms of non interacting $s$-state "radial fermions" with an emergent De
Alfaro, Fubini and Furlan type potential, present only for two or more complex
matrices. The concomitant $AdS_2$ symmetry is identified. The large $N$
description in terms of the density of radial eigenvalues is also described.Comment: Citation added; 19 page
Matrix model approximations of fuzzy scalar field theories and their
  phase diagrams

We present an analysis of two different approximations to the scalar field
theory on the fuzzy sphere, a nonperturbative and a perturbative one, which are
both multitrace matrix models. We show that the former reproduces a phase
diagram with correct features in a qualitative agreement with the previous
numerical studies and that the latter gives a phase diagram with features not
expected in the phase diagram of the field theory.Comment: v2 minor typos corrected, references updated, version published in
  JHE
On tree amplitudes of supersymmetric Einstein-Yang-Mills theory

We present a new formula for all single trace tree amplitudes in four
dimensional super Yang-Mills coupled to Einstein supergravity. Like the
Cachazo-He-Yuan formula, our expression is supported on solutions of the
scattering equations, but with momenta written in terms of spinor helicity
variables. Supersymmetry and parity are both manifest. In the pure gravity and
pure Yang-Mills sectors, it reduces to the known twistor-string formulae. We
show that the formula behaves correctly under factorization and sketch how
these amplitudes may be obtained from a four-dimensional (ambi)twistor string.Comment: 14 pages, no figures. v2: erroneous formulae removed, improved
  discussion of factorizatio
A Holographic c-Theorem for Schrodinger Spacetimes

We prove a c-theorem for holographic renormalization group flows in a
Schrodinger spacetime that demonstrates that the effective radius L(r)
monotonically decreases from the UV to the IR, where r is the bulk radial
coordinate. This result assumes that the bulk matter satisfies the null energy
condition, but holds regardless of the value of the critical exponent z. We
also construct several numerical examples in a model where the Schrodinger
background is realized by a massive vector coupled to a real scalar. The full
Schrodinger group is realized when z=2, and in this case it is possible to
construct solutions with constant effective z(r)=2 along the entire flow.Comment: 18 pages, 3 figures, footnote on limit cycles added, equation (3.17)
  simplifie
Higher Spin Currents in the Enhanced N=3 Kazama-Suzuki Model

The N=3 Kazama-Suzuki model at the `critical' level has been found by
Creutzig, Hikida and Ronne. We construct the lowest higher spin currents of
spins (3/2, 2,2,2,5/2, 5/2, 5/2, 3) in terms of various fermions. In order to
obtain the operator product expansions (OPEs) between these higher spin
currents, we describe three N=2 OPEs between the two N=2 higher spin currents
denoted by (3/2, 2, 2, 5/2) and (2, 5/2, 5/2, 3) (corresponding 36 OPEs in the
component approach). Using the various Jacobi identities, the coefficient
functions appearing on the right hand side of these N=2 OPEs are determined in
terms of central charge completely. Then we describe them as one single N=3 OPE
in the N=3 superspace. The right hand side of this N=3 OPE contains the
SO(3)-singlet N=3 higher spin multiplet of spins (2, 5/2, 5/2, 5/2, 3,3,3,
7/2), the SO(3)-singlet N=3 higher spin multiplet of spins (5/2, 3,3,3, 7/2,
7/2, 7/2, 4), and the SO(3)-triplet N=3 higher spin multiplets where each
multiplet has the spins (3, 7/2, 7/2, 7/2, 4,4,4, 9/2), in addition to N=3
superconformal family of the identity operator. Finally, by factoring out the
spin-1/2 current of N=3 linear superconformal algebra generated by eight
currents of spins (1/2, 1,1,1, 3/2, 3/2, 3/2, 2), we obtain the extension of
so-called SO(3) nonlinear Knizhnik Bershadsky algebra.Comment: 71 pages; The second-fourth paragraphs in page 31 and Appendix H
  added and to appear in JHE
Deconstructing zero: resurgence, supersymmetry and complex saddles

We explain how a vanishing, or truncated, perturbative expansion, such as
often arises in semi-classically tractable supersymmetric theories, can
nevertheless be related to fluctuations about non-perturbative sectors via
resurgence. We also demonstrate that, in the same class of theories, the
vanishing of the ground state energy (unbroken supersymmetry) can be attributed
to the cancellation between a real saddle and a complex saddle (with hidden
topological angle pi), and positivity of the ground state energy (broken
supersymmetry) can be interpreted as the dominance of complex saddles. In
either case, despite the fact that the ground state energy is zero to all
orders in perturbation theory, all orders of fluctuations around
non-perturbative saddles are encoded in the perturbative E(N, g). We illustrate
these ideas with examples from supersymmetric quantum mechanics and quantum
field theory.Comment: 19 p
Super-spectral curve of irregular conformal blocks

We use super-spectral curve to investigate irregular conformal states of
integer and half-odd integer rank. The spectral curve is the loop equation of
supersymmetrized irregular matrix model. The case of integer rank corresponds
to the colliding limit of supersymmetric vertex operators of NS sector and
half-odd integer to the Ramond sectors. The spectral curve is simply integrable
at Nekrasov-Shatashvili limit and the partition function (inner product of
irregular conformal state) is obtained from the superconformal structure
manifest in the spectral curve. We present some explicit forms of the partition
function of integer (NS sector) and of half-odd ranks (Ramond sector)
Revisiting instanton corrections to the Konishi multiplet

We revisit the calculation of instanton effects in correlation functions in
${\cal N}=4$ SYM involving the Konishi operator and operators of twist two.
Previous studies revealed that the scaling dimensions and the OPE coefficients
of these operators do not receive instanton corrections in the semiclassical
approximation. We go beyond this approximation and demonstrate that, while
operators belonging to the same ${\cal N}=4$ supermultiplet ought to have the
same conformal data, the evaluation of quantum instanton corrections for one
operator can be mapped into a semiclassical computation for another operator in
the same supermultiplet. This observation allows us to compute explicitly the
leading instanton correction to the scaling dimension of operators in the
Konishi supermultiplet as well as to their structure constants in the OPE of
two half-BPS scalar operators. We then use these results, together with
crossing symmetry, to determine instanton corrections to scaling dimensions of
twist-four operators with large spin.Comment: 25 pages; v2: minor changes, typos correcte
A note on connected formula for form factors

In this note we study the connected prescription, originally derived from
Witten's twistor string theory, for tree-level form factors in ${\cal N}=4$
super-Yang-Mills theory. The construction is based on the recently proposed
four-dimensional scattering equations with $n$ massless on-shell states and one
off-shell state, which we expect to work for form factors of general operators.
To illustrate the universality of the prescription, we propose compact formulas
for super form factors with chiral stress-tensor multiplet operator, and
bosonic ones with scalar operators ${\rm Tr}(\phi^m)$ for arbitrary $m$.Comment: 13 page
The complex Langevin analysis of spontaneous symmetry breaking induced
  by complex fermion determinant

In many interesting physical systems, the determinant which appears from
integrating out fermions becomes complex, and its phase plays a crucial role in
the determination of the vacuum. An example of this is QCD at low temperature
and high density, where various exotic fermion condensates are conjectured to
form. Another example is the Euclidean version of the type IIB matrix model for
10d superstring theory, where spontaneous breaking of the SO(10) rotational
symmetry down to SO(4) is expected to occur. When one applies the complex
Langevin method to these systems, one encounters the singular-drift problem
associated with the appearance of nearly zero eigenvalues of the Dirac
operator. Here we propose to avoid this problem by deforming the action with a
fermion bilinear term. The results for the original system are obtained by
extrapolations with respect to the deformation parameter. We demonstrate the
power of this approach by applying it to a simple matrix model, in which
spontaneous symmetry breaking from SO(4) to SO(2) is expected to occur due to
the phase of the complex fermion determinant. Unlike previous work based on a
reweighting-type method, we are able to determine the true vacuum by
calculating the order parameters, which agree with the prediction by the
Gaussian expansion method.Comment: 23 pages, 26 figures. The version accepted for publication in JHE
Renormalization group coefficients and the S-matrix

We show how to use on-shell unitarity methods to calculate renormalization
group coefficients such as beta functions and anomalous dimensions. The central
objects are the form factors of composite operators. Their discontinuities can
be calculated via phase-space integrals and are related to corresponding
anomalous dimensions. In particular, we find that the dilatation operator,
which measures the anomalous dimensions, is given by minus the phase of the
S-matrix divided by pi. We illustrate our method using several examples from
Yang-Mills theory, perturbative QCD and Yukawa theory at one-loop level and
beyond.Comment: 25 pages, 4 figures; v2: explanations improved, references added,
  matches journal versio
Weyl Consistency Conditions in Non-Relativistic Quantum Field Theory

Weyl consistency conditions have been used in unitary relativistic quantum
field theory to impose constraints on the renormalization group flow of certain
quantities. We classify the Weyl anomalies and their renormalization scheme
ambiguities for generic non-relativistic theories in 2+1 dimensions with
anisotropic scaling exponent z=2; the extension to other values of z are
discussed as well. We give the consistency conditions among these anomalies. As
an application we find several candidates for a C-theorem. We comment on
possible candidates for a $C$-theorem in higher dimensions.Comment: 38 pages, 1 figure, 7 tables; We took out the section on arbitrary
  dimension in version:2 !! In version:3 , a section (Sec: V) with NEW RESULTS
  on possible C-theorem candidates in arbitrary dimensions is added; v4:matched
  with journal version and updated section I
CP violating scalar Dark Matter

We study an extension of the Standard Model (SM) in which two copies of the
SM scalar $SU(2)$ doublet which do not acquire a Vacuum Expectation Value
(VEV), and hence are \textit{inert}, are added to the scalar sector. We allow
for CP-violation in the \textit{inert} sector, where the lightest
\textit{inert} state is protected from decaying to SM particles through the
conservation of a $Z_2$ symmetry. The lightest neutral particle from the
\textit{inert} sector, which has a mixed CP-charge due to CP-violation, is
hence a Dark Matter (DM) candidate. We discuss the new regions of DM relic
density opened up by CP-violation, and compare our results to the CP-conserving
limit and the Inert Doublet Model (IDM). We constrain the parameter space of
the CP-violating model using recent results from the Large Hadron Collider
(LHC) and DM direct and indirect detection experiments.Comment: 42 pages, 22 figure
Monopole operators from the $4-\epsilon$ expansion

Three-dimensional quantum electrodynamics with $N$ charged fermions contains
monopole operators that have been studied perturbatively at large $N$. Here, we
initiate the study of these monopole operators in the $4-\epsilon$ expansion by
generalizing them to codimension-3 defect operators in $d = 4-\epsilon$
spacetime dimensions. Assuming the infrared dynamics is described by an
interacting CFT, we define the "conformal weight" of these operators in terms
of the free energy density on $S^2 \times \mathbb{H}^{2-\epsilon}$ in the
presence of magnetic flux through the $S^2$, and calculate this quantity to
next-to-leading order in $\epsilon$. Extrapolating the conformal weight to
$\epsilon = 1$ gives an estimate of the scaling dimension of the monopole
operators in $d=3$ that does not rely on the $1/N$ expansion. We also perform
the computation of the conformal weight in the large $N$ expansion for any $d$
and find agreement between the large $N$ and the small $\epsilon$ expansions in
their overlapping regime of validity.Comment: 45 pages, 3 figures, version accepted by journa
Testing 5d-6d dualities with fractional D-branes

6d SCFTs compactified on a circle can often be studied from nonperturbative
5d super-Yang-Mills theories, using instanton solitons. However, the 5d
Yang-Mills theories with 6d UV fixed points frequently have too many
hypermultiplet matters, which makes it difficult to use the ADHM techniques for
instantons. With the examples of 6d $\mathcal{N}=(1,0)$ SCFTs with $Sp(N)$
gauge symmetry and $2N+8$ fundamental hypermultiplets, we show that one can
still make rigorous studies of these 5d-6d relations in the `fractional D-brane
sectors'. We test the recently proposed 5d duals given by $Sp(N+1)$ gauge
theories, and compare their instanton partition functions with the elliptic
genera of 6d self-dual strings.Comment: 21 pages, 4 figure
On new exact conformal blocks and Nekrasov functions

Recently, an intriguing family of the one-point toric conformal blocks AGT
related to the $\mathcal{N}=2^*\,\, SU(2)$ Nekrasov functions was discovered by
M. Beccaria and G. Macorini. Members of the family are distinguished by having
only finite amount of poles as functions of the intermediate dimension/v.e.v.
in gauge theory. Another remarkable property is that these conformal
blocks/Nekrasov functions can be found in closed form to all orders in the
coupling expansion. In the present paper we use Zamolodchikov's recurrence
equation to systematically account for these exceptional conformal blocks. We
conjecture that the family is infinite-dimensional and describe the
corresponding parameter set. We further apply the developed technique to
demonstrate that the four-point spheric conformal blocks feature analogous
exact expressions. We also study the modular transformations of the finite-pole
blocks.Comment: Version 2: significantly revised and extended to include spheric
  blocks and modular transformations, 27 page
Soft behavior of a closed massless state in superstring and universality
  in the soft behavior of the dilaton

We consider the tree-level scattering amplitudes in the NS-NS (Neveu-Schwarz)
massless sector of closed superstrings in the case where one external state
becomes soft. We compute the amplitudes generically for any number of
dimensions and any number and kind of the massless closed states through the
subsubleading order in the soft expansion. We show that, when the soft state is
a graviton or a dilaton, the full result can be expressed as a soft theorem
factorizing the amplitude in a soft and a hard part. This behavior is similar
to what has previously been observed in field theory and in the bosonic string.
Differently from the bosonic string, the supersymmetric soft theorem for the
graviton has no string corrections at subsubleading order. The dilaton soft
theorem, on the other hand, is found to be universally free of string
corrections in any string theory.Comment: 27 pages, one appendi
Time-independent wormholes

We study two-sided static wormholes with an exact Killing symmetry that
translates both mouths of the wormhole toward the future. This differs from the
familiar Kruskal wormhole whose time translation is future-directed only in one
asymptotic region and is instead past-directed in the other. Our spacetimes are
solutions to Einstein-Hilbert gravity sourced by scalar domain walls. Explicit
examples are found in the thin wall approximation. More generally, we show that
such spacetimes can arise in the presence of scalar fields with potentials that
are $C^1$ but not $C^2$ and find examples numerically. However, solutions with
an exact such Killing symmetry are forbidden when the scalar potential is
smooth. Finally, we consider the mutual information of boundary regions
associated with such wormholes in AdS/CFT. Although the interior of our
solutions are unstable, we find that even mutual informations between opposite
boundaries are already thermalized at any finite $t$ in the sense that they
agree with the $t\rightarrow \infty$ limit of results from the familiar
AdS-Kruskal solution.Comment: 19 pages, 6 figure
Relaxing the Cosmological Constant: a Proof of Concept

We propose a technically natural scenario whereby an initially large
cosmological constant (c.c.) is relaxed down to the observed value due to the
dynamics of a scalar evolving on a very shallow potential. The model crucially
relies on a sector that violates the null energy condition (NEC) and gets
activated only when the Hubble rate becomes sufficiently small --- of the order
of the present one. As a result of NEC violation, this low-energy universe
evolves into inflation, followed by reheating and the standard Big Bang
cosmology. The symmetries of the theory force the c.c. to be the same before
and after the NEC-violating phase, so that a late-time observer sees an
effective c.c. of the correct magnitude. Importantly, our model allows neither
for eternal inflation nor for a set of possible values of dark energy, the
latter fixed by the parameters of the theory.Comment: 33 pages, 6 figures. v2: minor changes; references added; version
  published in JHE
Renormalisation Group Corrections to the Littlest Seesaw Model and
  Maximal Atmospheric Mixing

The Littlest Seesaw (LS) model involves two right-handed neutrinos and a very
constrained Dirac neutrino mass matrix, involving one texture zero and two
independent Dirac masses, leading to a highly predictive scheme in which all
neutrino masses and the entire PMNS matrix is successfully predicted in terms
of just two real parameters. We calculate the renormalisation group (RG)
corrections to the LS predictions, with and without supersymmetry, including
also the threshold effects induced by the decoupling of heavy Majorana
neutrinos both analytically and numerically. We find that the predictions for
neutrino mixing angles and mass ratios are rather stable under RG corrections.
For example we find that the LS model with RG corrections predicts close to
maximal atmospheric mixing, $\theta_{23}=45^\circ \pm 1^\circ$, in most
considered cases, in tension with the latest NOvA results. The techniques used
here apply to other seesaw models with a strong normal mass hierarchy.Comment: 28 pages, 4 figures, 5 tables; v2: references added, include the
  scenario where both mass scales of right-handed neutrinos are varied, version
  to be published in JHE
A holographic model for black hole complementarity

We explore a version of black hole complementarity, where an approximate
semiclassical effective field theory for interior infalling degrees of freedom
emerges holographically from an exact evolution of exterior degrees of freedom.
The infalling degrees of freedom have a complementary description in terms of
outgoing Hawking radiation and must eventually decohere with respect to the
exterior Hamiltonian, leading to a breakdown of the semiclassical description
for an infaller. Trace distance is used to quantify the difference between the
complementary time evolutions, and to define a decoherence time. We propose a
dictionary where the evolution with respect to the bulk effective Hamiltonian
corresponds to mean field evolution in the holographic theory. In a particular
model for the holographic theory, which exhibits fast scrambling, the
decoherence time coincides with the scrambling time. The results support the
hypothesis that decoherence of the infalling holographic state and disruptive
bulk effects near the curvature singularity are complementary descriptions of
the same physics, which is an important step toward resolving the black hole
information paradox.Comment: 12 pages, some typos correcte
A holographic model for black hole complementarity

We explore a version of black hole complementarity, where an approximate semiclassical effective field theory for interior infalling degrees of freedom emerges holo-graphically from an exact evolution of exterior degrees of freedom. The infalling degrees of freedom have a complementary description in terms of outgoing Hawking radiation and must eventually decohere with respect to the exterior Hamiltonian, leading to a breakdown of the semiclassical description for an infaller. Trace distance is used to quantify the difference between the complementary time evolutions, and to define a decoherence time. We propose a dictionary where the evolution with respect to the bulk effective Hamiltonian corresponds to mean field evolution in the holographic theory. In a particular model for the holographic theory, which exhibits fast scrambling, the decoherence time coincides with the scrambling time. The results support the hypothesis that decoherence of the infalling holographic state and disruptive bulk effects near the curvature singularity are comple-mentary descriptions of the same physics, which is an important step toward resolving the black hole information paradox.The research of D.L. was supported in part by DOE grant de-sc0010010. The research of L.T. was supported in part by Icelandic Research Fund grant 163422-051, the University of Iceland Research Fund, and the Swedish Research Council under contract 621-2014-5838.Peer Reviewe
Conformal Janus on Euclidean Sphere

We interpret Janus as an interface in a conformal field theory and study its
properties. The Janus is created by an exactly marginal operator and we study
its effect on the interface conformal field theory on the Janus. We do this by
utilizing the AdS/CFT correspondence. We compute the interface free energy both
from leading correction to the Euclidean action in the dual gravity description
and from conformal perturbation theory in the conformal field theory. We find
that the two results agree each other and that the interface free energy scales
precisely as expected from the conformal invariance of the Janus interface.Comment: 37 pages, 5 figures, references added, section 2 and references
  added, published versio