pinecone/core-2020-05-10-deduplication huggingface dataset:
Low energy properties of SU(2) gauge theory with N_f = 3/2 flavours of
  adjoint fermions

In this work we present the results of a numerical investigation of SU(2)
gauge theory with N_f = 3/2 flavours of fermions, corresponding to 3 Majorana
fermions, which transform in the adjoint representation of the gauge group. At
two values of the gauge coupling, the masses of bound states are considered as
a function of the fundamental fermion mass, represented by the PCAC quark mass.
The scaling of bound states masses indicates an infrared conformal behaviour of
the theory. We obtain estimates for the fixed-point value of the mass anomalous
dimension $\gamma^{\ast}$ from the scaling of masses and from the scaling of
the mode number of the Wilson-Dirac operator. The difference of the estimates
at the two gauge couplings should be due to scaling violations and lattice
spacing effects. The more reliable estimate at the smaller gauge coupling is
$\gamma^{\ast} \approx 0.38(2)$.Comment: 15 pages, 9 figure
Piercing of domain walls: new mechanism of gravitational radiation

Domain wall (DW) moving in media undergoes the friction force due to particle
scattering. However certain particles are not scattered, but perforate the
wall. As a result, the wall gets excited in the form of the branon wave, while
the particle experiences an acceleration jump. This gives rise to generation of
gravitational waves which we call "piercing gravitational radiation" (PGR).
Though this effect is of higher order in the gravitational constant than the
quadrupole radiation from the collapsing DWs, its amplitude is enhanced in the
case of relativistic particles or photons because of absence of the velocity
factor which is present in the quadrupole formula. We derive the
spectral-angular distribution of PGR within the simplified model of the weakly
gravitating particle-wall system in Minkowski space-time of arbitrary
dimensions. Within this model the radiation amplitude is obtained analytically.
The spectral-angular distribution of PGR in such an approach suffers from
infrared and ultraviolet divergences as well as from collinear divergence in
the case of a massless perforating particle. Different cut-off schemes
appropriate in various dimensions are discussed. Our results are applicable
both to cosmological DWs and to the braneworld models.Comment: 30 pages, 8 figure
Peccei-Quinn Relaxion

The relaxation mechanism, which solves the electroweak hierarchy problem
without relying on TeV scale new physics, crucially depends on how a
Higgs-dependent back-reaction potential is generated. In this paper, we suggest
a new scenario in which the scalar potential induced by the QCD anomaly is
responsible both for the relaxation mechanism and the Peccei-Quinn mechanism to
solve the strong CP problem. The key idea is to introduce the relaxion and the
QCD axion whose cosmic evolutions become quite different depending on an
inflaton-dependent scalar potential. Our scheme raises the cutoff scale of the
Higgs mass up to 10^7 GeV, and allows reheating temperature higher than the
electroweak scale as would be required for viable cosmology. In addition, the
QCD axion can account for the observed dark matter of the universe as produced
by the conventional misalignment mechanism. We also consider the possibility
that the couplings of the Standard Model depend on the inflaton and become
stronger during inflation. In this case, the relaxation can be implemented with
a sub-Planckian field excursion of the relaxion for a cutoff scale below 10
TeV.Comment: 14 pages, 1 figure; minor changes, accepted for publication in JHE
Bottom and Charm Mass determinations from global fits to $Q\bar{Q}$
  bound states at N$^3$LO

The bottomonium spectrum up to $n = 3$ is studied within Non-Relativistic
Quantum Chromodynamics up to N$^3$LO. We consider finite charm quark mass
effects both in the QCD potential and the $\overline{\mathrm{MS}}$-pole mass
relation up to third order in the $\Upsilon$-scheme counting. The $u = 1/2$
renormalon of the static potential is canceled by expressing the bottom quark
pole mass in terms of the MSR mass. A careful investigation of scale variation
reveals that, while $n = 1, 2$ states are well behaved within perturbation
theory, $n = 3$ bound states are no longer reliable. We carry out our analysis
in the $n_\ell = 3$ and $n_\ell = 4$ schemes and conclude that, as long as
finite $m_c$ effects are smoothly incorporated in the MSR mass definition, the
difference between the two schemes is rather small. Performing a fit to
$b\bar{b}$ bound states we find $\overline{m}_b(\overline{m}_b) = 4.216\pm
0.039$ GeV. We extend our analysis to the lowest lying charmonium states
finding $\overline{m}_c(\overline{m}_c)=1.273 \pm 0.054$ GeV. Finally, we
perform simultaneous fits for $\overline{m}_b$ and $\alpha_s$ finding
$\alpha_s^{(n_f=5)}(m_Z)=0.1178\pm 0.0051$. Additionally, using a modified
version of the MSR mass with lighter massive quarks we are able to predict the
uncalculated $\mathcal{O}(\alpha_s^4)$ virtual massive quark corrections to the
relation between the $\overline{\mathrm{MS}}$ and pole masses.Comment: 41 pages, 13 figures and 5 tables. v2: Extended discussion on
  non-perturbative effects, minor typos corrected, published versio
AdS$_7$/CFT$_6$ with orientifolds

AdS$_7$ solutions of massive type IIA have been classified, and are dual to a
large class of six-dimensional $(1,0)$ SCFT's whose tensor branch deformations
are described by linear quivers of SU groups. Quivers and AdS vacua depend
solely on the group theory data of the NS5-D6-D8 brane configurations
engineering the field theories. This has allowed for a direct holographic match
of their $a$ conformal anomaly. In this paper we extend the match to cases
where O6 and O8-planes are present, thereby introducing SO and USp groups in
the quivers. In all of them we show that the $a$ anomaly computed in
supergravity agrees with the holographic limit of the exact field theory
result, which we extract from the anomaly polynomial. As a byproduct we
construct special AdS$_7$ vacua dual to nonperturbative F-theory
configurations. Finally, we propose a holographic $a$-theorem for
six-dimensional Higgs branch RG flows.Comment: 91 pages, 6 figures, 4 tables, 4 appendices; v2: typos fixed, version
  published in JHE
Strong Coupling Limit of A Family of Chern-Simons-matter Theories

We investigate the strong coupling limit of a family of Chern-Simons-matter
theories in the planar limit. The family consists of ${\cal N}=3$ theories with
the gauge group ${\rm U}(N_1)_{k_1}\times{\rm U}(N_2)_{k_2}$ coupled to $n$
bi-fundamental hypermultiplets. All observables which can be determined from
the planar resolvent turn out to have finite limits in the large 't Hooft
coupling limit. Possible gravity duals are briefly discussed. We observe that
Kac-Moody algebras govern the structure of the planar spectral curves of the
theories.Comment: 21 pages, v2: a reference adde
Black hole elasticity and gapped transverse phonons in holography

We study the elastic response of planar black hole (BH) solutions in a simple
class of holographic models with broken translational invariance. We compute
the transverse quasi-normal mode spectrum and the propagation speed of the
lowest energy mode. We find that the speed of the lowest mode relates to the BH
rigidity modulus as dictated by elasticity theory. This allows to identify
these modes as transverse phonons---the pseudo Goldstone bosons of
spontaneously broken translational invariance. In addition, we show that these
modes have a mass gap controlled by an explicit source of the translational
symmetry breaking. These results provide a new confirmation that the BHs in
these models do exhibit solid properties that become more manifest at low
temperatures. Also, by the AdS/CFT correspondence, this allows to extend the
standard results from the effective field theory for solids to quantum-critical
materials.Comment: 28 pages, 7 figures; v3: minor revisions, matching JHEP published
  versio
Deformed supersymmetric quantum mechanics with spin variables

We quantize the one-particle model of the ${\rm SU}(2|1)$ supersymmetric
multi-particle mechanics with the additional semi-dynamical spin degrees of
freedom. We find the relevant energy spectrum and the full set of physical
states as functions of the mass-dimension deformation parameter $m$ and ${\rm
SU}(2)$ spin $q \in \big( \mathbb{Z}_{>0}\,$, $1/2 + \mathbb{Z}_{\geqslant
0}\big)\,$. It is found that the states at the fixed energy level form
irreducible multiplets of the supergroup ${\rm SU}(2|1)\,$. Also, the hidden
superconformal symmetry ${\rm OSp}(4|2)$ of the model is revealed in the
classical and quantum cases. We calculate the ${\rm OSp}(4|2)$ Casimir
operators and demonstrate that the full set of the physical states belonging to
different energy levels at fixed $q$ are unified into an irreducible ${\rm
OSp}(4|2)$ multiplet.Comment: 19 pages, 2 figures; v3: comments and new reference added, typos
  corrected, published versio
Bands and gaps in Nekrasov partition function

We discuss the effective twisted superpotentials of 2d $\mathcal{N}=(2,2)$
theories arising upon the reduction of 4d $\mathcal{N}=2$ gauge theories on the
$\Omega$-deformed cigar-like geometry. We explain field-theoretic origins of
the gaps in the spectrum in the corresponding quantum mechanical (QM) systems.
We find local 2d descriptions of the physics near these gaps by resumming the
non-perturbative part of the twisted superpotential and discuss arising
wall-crossing phenomena. The interpretation of the associated phenomena in the
classical Liouville theory and in the scattering of two heavy states in $AdS_3$
gravity is suggested. Some comments concerning a possible interpretation of the
band structure in QM in terms of the Schwinger monopole-pair production in 4d
are presented.Comment: 55 pages, 4 figures. v2: Minor corrections and references added. v3:
  Minor improvement
Boundary Hamiltonian theory for gapped topological phases on an open
  surface

In this paper we propose a Hamiltonian approach to gapped topological phases
on an open surface with boundary. Our setting is an extension of the Levin-Wen
model to a 2d graph on the open surface, whose boundary is part of the graph.
We systematically construct a series of boundary Hamiltonians such that each of
them, when combined with the usual Levin-Wen bulk Hamiltonian, gives rise to a
gapped energy spectrum which is topologically protected; and the corresponding
wave functions are robust under changes of the underlying graph that maintain
the spatial topology of the system. We derive explicit ground-state
wavefunctions of the system and show that the boundary types are classified by
Morita-equivalent Frobenius algebras. We also construct boundary quasiparticle
creation, measuring and hopping operators. These operators allow us to
characterize the boundary quasiparticles by bimodules of Frobenius algebras.
Our approach also offers a concrete set of tools for computations. We
illustrate our approach by a few examples.Comment: 21 pages;references correcte
Detachable circles and temperature-inversion dualities for CFT$_d$

We use a Weyl transformation between $S^1 \times S^{d-1}$ and $S^1 \times
\mathcal{H}^{d-1}/\mathbb{Z}$ to relate a conformal field theory at arbitrary
temperature on $S^{d-1}$ to itself at the inverse temperature on
$\mathcal{H}^{d-1}/\mathbb{Z}$. We use this equivalence to deduce a confining
phase transition at finite temperature for large-$N$ gauge theories on
hyperbolic space. In the context of gauge/gravity duality, this equivalence
provides new examples of smooth bulk solutions which asymptote to conically
singular geometries at the AdS boundary. We also discuss implications for the
Eguchi-Kawai mechanism and a high-temperature/low-temperature duality on
$S^{d-1}$.Comment: 21 page
The state of Hawking radiation is non-classical

We show that the state of the Hawking radiation emitted from a large
Schwarzschild black hole (BH) deviates significantly from a classical state, in
spite of its apparent thermal nature. For this state, the occupation numbers of
single modes of massless asymptotic fields, such as photons, gravitons and
possibly neutrinos, are small and, as a result, their relative fluctuations are
large. The occupation numbers of massive fields are much smaller and suppressed
beyond even the expected Boltzmann suppression. It follows that this type of
thermal state cannot be viewed as classical or even semiclassical. We
substantiate this claim by showing that, in a state with low occupation
numbers, physical observables have large quantum fluctuations and, as such,
cannot be faithfully described by a mean-field or by a WKB-like semiclassical
state. Since the evolution of the BH is unitary, our results imply that the
state of the BH interior must also be non-classical when described in terms of
the asymptotic fields. We show that such a non-classical interior cannot be
described in terms of a semiclassical geometry, even though the average
curvature is sub-Planckian.Comment: Replaced to agree with the published version. Added explanation
Thermal Hawking radiation of black hole with supertranslation field

Using the analytical solution for the Schwarzschild metric containing
supertranslation field, we consider two main ingredients of calculation of the
thermal Hawking black hole radiation: solution for eigenmodes of the
d'Alambertian and solution of the geodesic equations for null geodesics. For
calculation of Hawking radiation it is essential to determine the behavior of
both the eigenmodes and geodesics in the vicinity of horizon. The equation for
the eigenmodes is solved, first, perturbatively in the ratio $O(C)/M$ of the
supertranslation field to the mass of black hole, and, next, non-perturbatively
in the near- horizon region. It is shown that in any order of perturbation
theory solution for the eigenmodes in the metric containing supertranslation
field differs from solution in the pure Schwarzschild metric by terms of order
$L^{1/2}= (1-2M/r)^{1/2}$. In the non-perturbative approach, solution for the
eigenmodes differs from solution in the Schwarzschild metric by terms of order
$L^{1/2}$ which vanish on horizon. Using the simplified form of geodesic
equations in vicinity of horizon, it is shown that in vicinity of horizon the
null geodesics have the same behavior as in the Schwarzschild metric. As a
result, the density matrices of thermal radiation in both cases are the same.Comment: LaTex, 13 page
Tensor network and ($p$-adic) AdS/CFT

We use the tensor network living on the Bruhat-Tits tree to give a concrete
realization of the recently proposed $p$-adic AdS/CFT correspondence (a
holographic duality based on the $p$-adic number field $\mathbb{Q}_p$). Instead
of assuming the $p$-adic AdS/CFT correspondence, we show how important features
of AdS/CFT such as the bulk operator reconstruction and the holographic
computation of boundary correlators are automatically implemented in this
tensor network.Comment: 59 pages, 18 figures; v3: improved presentation, added figures and
  reference
Asymptotic Dynamics in Perturbative Quantum Gravity and BMS
  Supertranslations

Recently it has been shown that infrared divergences in the conventional
S-matrix elements of gauge and gravitational theories arise from a violation of
the conservation laws associated with large gauge symmetries. These infrared
divergences can be cured by using the Faddeev-Kulish (FK) asymptotic states as
the basis for S-matrix elements. Motivated by this connection, we study the
action of BMS supertranslations on the FK asymptotic states of perturbative
quantum gravity. We compute the BMS charge of the FK states and show that it
characterizes the superselection sector to which the state belongs.
Conservation of the BMS charge then implies that there is no transition between
different superselection sectors, hence showing that the FK graviton clouds
implement the necessary vacuum transition induced by the scattering process.Comment: 39 page
Model-independent determination of the strong phase difference between
  $D^0$ and $\bar{D}^0 \to\pi^+\pi^-\pi^+\pi^-$ amplitudes

For the first time, the strong phase difference between $D^0$ and
$\bar{D}^0\to\pi^+\pi^-\pi^+\pi^-$ amplitudes is determined in bins of the
decay phase space. The measurement uses $818\,\mathrm{pb}^{-1}$ of $e^+e^-$
collision data that is taken at the $\psi(3770)$ resonance and collected by the
CLEO-c experiment. The measurement is important for the determination of the $C
P$-violating phase $\gamma$ in $B^{\pm}\to D K^{\pm}$ (and similar) decays ,
where the $D$ meson (which represents a superposition of $D^0$ and $\bar{D}^0$)
subsequently decays to $\pi^+\pi^-\pi^+\pi^-$. To obtain optimal sensitivity to
$\gamma$, the phase space of the $D \to \pi^+\pi^-\pi^+\pi^-$ decay is divided
into bins based on a recent amplitude model of the decay. Although an amplitude
model is used to define the bins, the measurements obtained are
model-independent. The $CP$-even fraction of the $D \to \pi^+\pi^-\pi^+\pi^-$
decay is determined to be $F_{+}^{4\pi} = 0.769 \pm 0.021 \pm 0.010$, where the
uncertainties are statistical and systematic, respectively. Using simulated
$B^{\pm}\to D K^{\pm}, D \to \pi^+\pi^-\pi^+\pi^-$ decays, it is estimated that
by the end of the current LHC run, the LHCb experiment could determine $\gamma$
from this decay mode with an uncertainty of $(\pm10\pm7)^\circ$, where the
first uncertainty is statistical based on estimated LHCb event yields, and the
second is due to the uncertainties on the parameters determined in this paper
Differential Higgs production at N3LO beyond threshold

We present several key steps towards the computation of differential Higgs
boson cross sections at N$^3$LO in perturbative QCD. Specifically, we work in
the framework of Higgs-differential cross sections that allows to compute
precise predictions for realistic LHC observables. We demonstrate how to
perform an expansion of the analytic N$^3$LO coefficient functions around the
production threshold of the Higgs boson. Our framework allows us to compute to
arbitrarily high order in the threshold expansion and we explicitly obtain the
first two expansion coefficients in analytic form. Furthermore, we assess the
phenomenological viability of threshold expansions for differential
distributions. In addition, we report on an interesting obstacle for the
computation of N$^3$LO corrections with LHAPDF parton distribution functions
and our solution. We provide files containing the analytic expressions for the
partonic cross sections together with the arXiv submission.Comment: 12 plots and 1 Feynman Diagra
Stringy $\mathcal{N}=(2,2)$ holography for AdS${_3}$

We propose a class of ${\rm AdS}_3/{\rm CFT}_2$ dualities with
$\mathcal{N}=(2,2)$ supersymmetry. These dualities relate string theory on
${\rm AdS}_3 \times ({\rm S}^3\times \mathbb{T}^4)/{\rm G}$ to marginal
deformations of the symmetric product orbifold of $\mathbb{T}^4/{\rm G}$, where
${\rm G}$ is a dihedral group. We demonstrate that the BPS spectrum calculated
from supergravity and string theory agrees with that of the dual CFT. Moreover,
the supergravity elliptic genus is shown to reproduce the CFT answer, thus
providing further non-trivial evidence in favour of the proposal.Comment: 38 pages; v3: published versio
Quasitriangular structure and twisting of the 2+1 bicrossproduct model

We show that the bicrossproduct model
$C[SU_2^*]{\blacktriangleright\!\!\triangleleft} U(su_2)$ quantum Poincare
group in 2+1 dimensions acting on the quantum spacetime $[x_i,t]=\imath\lambda
x_i$ is related by a Drinfeld and module-algebra twist to the quantum double
$U(su_2)\ltimes C[SU_2]$ acting on the quantum spacetime
$[x_\mu,x_\nu]=\imath\lambda\epsilon_{\mu\nu\rho}x_\rho$. We obtain this twist
by taking a scaling limit as $q\to 1$ of the $q$-deformed version of the above
where it corresponds to a previous theory of $q$-deformed Wick rotation from
$q$-Euclidean to $q$-Minkowski space. We also recover the twist result at the
Lie bialgebra level.Comment: 27 pages late
Integrable systems with BMS$_{3}$ Poisson structure and the dynamics of
  locally flat spacetimes

We construct a hierarchy of integrable systems whose Poisson structure
corresponds to the BMS$_{3}$ algebra, and then discuss its description in terms
of the Riemannian geometry of locally flat spacetimes in three dimensions. The
analysis is performed in terms of two-dimensional gauge fields for $isl(2,R)$.
Although the algebra is not semisimple, the formulation can be carried out \`a
la Drinfeld-Sokolov because it admits a nondegenerate invariant bilinear
metric. The hierarchy turns out to be bi-Hamiltonian, labeled by a nonnegative
integer $k$, and defined through a suitable generalization of the Gelfand-Dikii
polynomials. The symmetries of the hierarchy are explicitly found. For $k\geq
1$, the corresponding conserved charges span an infinite-dimensional Abelian
algebra without central extensions, and they are in involution; while in the
case of $k=0$, they generate the BMS$_{3}$ algebra. In the special case of
$k=1$, by virtue of a suitable field redefinition and time scaling, the field
equations are shown to be equivalent to a specific type of the Hirota-Satsuma
coupled KdV systems. For $k\geq 1$, the hierarchy also includes the so-called
perturbed KdV equations as a particular case. A wide class of analytic
solutions is also explicitly constructed for a generic value of $k$.
Remarkably, the dynamics can be fully geometrized so as to describe the
evolution of spacelike surfaces embedded in locally flat spacetimes. Indeed,
General Relativity in 3D can be endowed with a suitable set of boundary
conditions, so that the Einstein equations precisely reduce to the ones of the
hierarchy aforementioned. The symmetries of the integrable systems then arise
as diffeomorphisms that preserve the asymptotic form of the spacetime metric,
and therefore, they become Noetherian. The infinite set of conserved charges is
recovered from the corresponding surface integrals in the canonical approach.Comment: 34 pages, 2 figure
One-Loop Holographic Weyl Anomaly in Six Dimensions

We compute $\mathcal O(1)$ corrections to the holographic Weyl anomaly for
six-dimensional $\mathcal N=(1,0)$ and $(2,0)$ theories using the functional
Schr\"odinger method that is conjectured to work for supersymmetric theories on
Ricci-flat backgrounds. We show that these corrections vanish for long
representations of the $\mathcal N=(1,0)$ theory, and we obtain an expression
for $\delta(c-a)$ for short representations with maximum spin two. We also
confirm that the one-loop corrections to the $\mathcal N=(2,0)$ M5-brane theory
are equal and opposite to the anomaly for the free tensor multiplet. Finally,
we discuss the possibility of extending the results to encompass multiplets
with spins greater than two.Comment: 28 page
Argyres-Douglas Theories, Chiral Algebras and Wild Hitchin Characters

We use Coulomb branch indices of Argyres-Douglas theories on $S^1 \times
L(k,1)$ to quantize moduli spaces ${\cal M}_H$ of wild/irregular Hitchin
systems. In particular, we obtain formulae for the "wild Hitchin characters" --
the graded dimensions of the Hilbert spaces from quantization -- for four
infinite families of ${\cal M}_H$, giving access to many interesting geometric
and topological data of these moduli spaces. We observe that the wild Hitchin
characters can always be written as a sum over fixed points in ${\cal M}_H$
under the $U(1)$ Hitchin action, and a limit of them can be identified with
matrix elements of the modular transform $ST^kS$ in certain two-dimensional
chiral algebras. Although naturally fitting into the geometric Langlands
program, the appearance of chiral algebras, which was known previously to be
associated with Schur operators but not Coulomb branch operators, is somewhat
surprising.Comment: 47+20 pages, 3 figures. v2: reference added, misprints corrected. v3:
  added corrections according to journal refere