pinecone/core-2020-05-10-deduplication huggingface dataset:
Super-A-polynomials for Twist Knots

We conjecture formulae of the colored superpolynomials for a class of twist
knots $K_p$ where p denotes the number of full twists. The validity of the
formulae is checked by applying differentials and taking special limits. Using
the formulae, we compute both the classical and quantum super-A-polynomial for
the twist knots with small values of p. The results support the categorified
versions of the generalized volume conjecture and the quantum volume
conjecture. Furthermore, we obtain the evidence that the Q-deformed
A-polynomials can be identified with the augmentation polynomials of knot
contact homology in the case of the twist knots.Comment: 22+16 pages, 16 tables and 5 figures; with a Maple program by Xinyu
  Sun and a Mathematica notebook in the ancillary files linked on the right; v2
  change in appendix B, typos corrected and references added; v3 change in
  section 3.3; v4 corrections in Ooguri-Vafa polynomials and quantum
  super-A-polynomials for 7_2 and 8_1 are adde
P-wave Quarkonium Decays to Meson Pairs

The processes of P-wave Quarkonium exclusive decays to two mesons are
investigated, in which the final state vector mesons with various polarizations
are considered separately. In the calculation, the initial heavy quarkonia are
treated in the framework of non-relativistic quantum chromodynamics, whereas
for light mesons, the light cone distribution amplitudes up to twist-3 are
employed. It turns out that the higher twist contribution is significant and
provides a possible explanation for the observation of the hadron helicity
selection rule violated processes $\chi_{c1}\rightarrow \phi\phi,\omega\omega$
by the BESIII collaboration in recently. We also evaluate the $\chi_{b1}\to
J/\psi J/\psi$ process and find that its branching ratio is big enough to be
measured at the B-factories.Comment: more results and discussions adde
Partially Supersymmetric ABJM Theory with Flux

Starting with generic Wess-Zumino type coupling to constant four-form and the
dual seven-form field strengths in the ABJM theory, we obtain mass-deformed
theories with ${\cal N}=2,4$ supersymmetries. These theories contain massless
scalar fields and allow the implementation of the Mukhi-Papageorgakis Higgsing
procedure. Using this procedure, we connect the Higgsed theories to
three-dimensional mass-deformed SYM theories. These are also connected by the
four-dimensional ${\cal N}=1^*,2^*$ mass-deformed SYM theories through
dimensional reduction. We classify the three-dimensional mass-deformed SYM
theories of ${\cal N}=1,2,4$ supersymmetry, of which a few cases of ${\cal
N}=1,2$ are connected neither by MP Higgsing procedure nor dimensional
reduction.Comment: 22 pages, 1 figur
Resurgence and Trans-series in Quantum Field Theory: The CP(N-1) Model

This work is a step towards a non-perturbative continuum definition of
quantum field theory (QFT), beginning with asymptotically free two dimensional
non-linear sigma-models, using recent ideas from mathematics and QFT. The ideas
from mathematics are resurgence theory, the trans-series framework, and
Borel-Ecalle resummation. The ideas from QFT use continuity on R^1 x S^1_L,
i.e, the absence of any phase transition as N \to infinity, or rapid-crossovers
for finite-N, and the small-L weak coupling limit to render the semi-classical
sector well-defined and calculable. We classify semi-classical configurations
with actions 1/N (kink-instantons), 2/N (bions and bi-kinks), in units where
the 2d instanton action is normalized to one. Perturbation theory possesses the
IR-renormalon ambiguity that arises due to non-Borel summability of the
large-orders perturbation series (of Gevrey-1 type), for which a microscopic
cancellation mechanism was unknown. This divergence must be present because the
corresponding expansion is on a singular Stokes ray in the complexified
coupling constant plane, and the sum exhibits the Stokes phenomenon crossing
the ray. We show that there is also a non-perturbative ambiguity inherent to
certain neutral topological molecules (neutral bions and bion-anti-bions) in
the semiclassical expansion. We find a set of "confluence equations" that
encode the exact cancellation of the two different type of ambiguities. We show
that a new notion of "graded resurgence triangle" is necessary to capture the
path integral approach to resurgence, and that graded resurgence underlies a
potentially rigorous definition of general QFTs. The mass gap and the Theta
angle dependence of vacuum energy are calculated from first principles, and are
in accord with large-N and lattice results.Comment: 89 pages; 13 figure
Integrability of BPS equations in ABJM theory

We investigate BPS equations which determine the configuration of an M2-M5
bound state preserving half of the supersymmetries in the ABJM theory. We argue
that the BPS equations are classically integrable, showing that they admit a
Lax representation. The integrable structure of the BPS equations is closely
related to that of the Nahm equations. Using this relation we formulate an
efficient way of constructing solutions of the BPS equations from those of the
Nahm equations. As an illustration of our method, we construct explicitly the
most general solutions describing two M2-branes suspended between two parallel
M5-branes as well as two semi-infinite M2-branes ending on an M5-brane. These
include previously unknown new solutions. We also discuss a reduction of the
BPS equations in connection with the periodic Toda chain.Comment: 23 pages. v2: a footnote and a reference added, version to appear in
  JHE
Supersymmetric Defect Models and Mirror Symmetry

We study supersymmetric field theories in three space-time dimensions doped
by various configurations of electric charges or magnetic fluxes. These are
supersymmetric avatars of impurity models. In the presence of additional
sources such configurations are shown to preserve half of the supersymmetries.
Mirror symmetry relates the two sets of configurations. We discuss the
implications for impurity models in 3d N=4 QED with a single charged
hypermultiplet (and its mirror, the theory of a free hypermultiplet) as well as
3d N=2 QED with one flavor and its dual, a supersymmetric Wilson-Fisher fixed
point. Mirror symmetry allows us to find backreacted solutions for arbitrary
arrays of defects in the IR limit of N=4 QED. Our analysis, complemented with
appropriate string theory brane constructions, sheds light on various aspects
of mirror symmetry, the map between particles and vortices and the emergence of
ground state entropy in QED at finite density.Comment: 33 pages, 10 figures. arXiv admin note: Figure 1 taken from
  arXiv:hep-th/970311
Observability of Heavy Charged Higgs through s-channel Single Top Events
  at LHC

The charged Higgs bosons can be produced as a resonance in s-channel single
top events. The light charged Higgs in such events preferably decays to a pair
of $\tau \nu$ thus making it difficult to distinguish from the large single W
events producing the same final state. However, the heavy charged Higgs decay
to a pair of $t \bar{b}$ can be extracted from the SM background events. The
final state under consideration in this paper contains the top quark decay to
$W^+ b$ followed by $W^+$ decay to electrons or muons. It is shown that this
signal can be observed at LHC at a large area of MSSM phase space ($m(H^+),
tan\beta$). Finally $5\sigma$ and 95% CL exclusion contours are presented at
different integrated luminosities of LHC assuming a nominal center of mass
energy of $\sqrt{s}$ = 14 TeV.Comment: 18 pages, 16 figure
Holographic Lattice in Einstein-Maxwell-Dilaton Gravity

We construct an ionic lattice background in the framework of
Einstein-Maxwell-dilaton theory in four dimensional space time. The optical
conductivity of the dual field theory on the boundary is investigated. Due to
the lattice effects, we find the imaginary part of the conductivity is
manifestly suppressed in the zero frequency limit, while the DC conductivity
approaches a finite value such that the previous delta function reflecting the
translation symmetry is absent. Such a behavior can be exactly fit by the Drude
law at low frequency. Moreover, we find that the modulus of the optical
conductivity exhibits a power-law behavior at intermediate frequency regime.
Our results provides further support for the universality of such power-law
behavior recently disclosed in Einstein-Maxwell theory by Horowitz, Santos and
Tong.Comment: 21 pages, 11 figures, references adde
Analytic Solution for Tachyon Condensation in Berkovits' Open
  Superstring Field Theory

We present an analytic solution for tachyon condensation on a non-BPS D-brane
in Berkovits' open superstring field theory. The solution is presented as a
product of $2\times 2$ matrices in two distinct $GL_2$ subgroups of the open
string star algebra. All string fields needed for computation of the
nonpolynomial action can be derived in closed form, and the action produces the
expected non-BPS D-brane tension in accordance with Sen's conjecture. We also
comment on how D-brane charges may be encoded in the topology of the tachyon
vacuum gauge orbit.Comment: v2: 43 pages, 6 figures. Minor corrections, references adde
Monte Carlo studies of the spontaneous rotational symmetry breaking in
  dimensionally reduced super Yang-Mills models

It has long been speculated that the spontaneous symmetry breaking (SSB) of
SO(D) occurs in matrix models obtained by dimensionally reducing super
Yang-Mills theory in D=6,10 dimensions. In particular, the D=10 case
corresponds to the IIB matrix model, which was proposed as a nonperturbative
formulation of superstring theory, and the SSB may correspond to the dynamical
generation of four-dimensional space-time. Recently, it has been shown by using
the Gaussian expansion method that the SSB indeed occurs for D=6 and D=10, and
interesting nature of the SSB common to both cases has been suggested. Here we
study the same issue from first principles by a Monte Carlo method in the D=6
case. In spite of a severe complex-action problem, the factorization method
enables us to obtain various quantities associated with the SSB, which turn out
to be consistent with the previous results obtained by the Gaussian expansion
method. This also demonstrates the usefulness of the factorization method as a
general approach to systems with the complex-action problem or the sign
problem.Comment: 28 pages, 19 figures, v2 some minor correction
AdS vacua with scale separation from IIB supergravity

Only two kinds of compactification are known that lead to four-dimensional
supersymmetric AdS vacua with moduli stabilisation and separation of scales at
tree-level. The most studied ones are compactifications of massive IIA
supergravity on SU(3) structures with smeared O6 planes, for which a general
ten-dimensional expression for the solution in terms of the SU(3) structure was
found. Less studied are compactifications of IIB supergravity with smeared
O5/O7 planes. In this paper we derive a general ten-dimensional expression for
the smeared O5/O7 solutions in terms of SU(2) structures. For a specific choice
of orientifold projections, we recover the known examples and we also provide
new explicit solutions.Comment: 27 + 16 pages; v2 references added and typos in few equations
  correcte
Models with radiative neutrino masses and viable dark matter candidates

We provide a list of particle physics models at the TeV-scale that are
compatible with neutrino masses and dark matter. In these models, the Standard
Model particle content is extended with a small number (\leq 4) of scalar and
fermion fields transforming as singlets, doublets or triplets under SU(2), and
neutrino masses are generated radiatively via 1-loop diagrams. The dark matter
candidates are stabilized by a Z_2 symmetry and are in general mixtures of the
neutral components of such new multiplets. We describe the particle content of
each of these models and determine the conditions under which they are
consistent with current data. We find a total of 35 viable models, most of
which have not been previously studied in the literature. There is a great
potential to test these models at the LHC not only due to the TeV-scale masses
of the new fields but also because about half of the viable models contain
particles with exotic electric charges, which give rise to background-free
signals. Our results should serve as a first step for detailed analysis of
models that can simultaneously account for dark matter and neutrino masses.Comment: 37 pages, 5 figures; v2: discussions extended, references added,
  matches the published versio
Probing Bino Contribution to Muon g-2

We study SUSY models in which Bino contributions solve the muon g-2 anomaly.
The contributions are enhanced by large left-right mixing of the smuons.
However, it is constrained by the vacuum stability condition of the
slepton--Higgs potential. Therefore, there are upper bounds on masses of
sleptons and Bino. When the slepton soft masses are universal, the upper bound
on the smuon mass becomes 330 (460)GeV in order to solve the g-2 anomaly at the
1 sigma (2 sigma) level. It is within the reach of LHC and ILC. If the stau is
heavier than the smuon, the bound can be as large as 1.4 (1.9)TeV. Such
non-universal slepton mass spectrum generically predicts too large LFV/CPV. We
show that the models are expected to be probed by LHC/ILC and LFV/CPV
complementarily in future.Comment: 27 pages, 10 figures; Authors were regenerate
Bayesian reweighting of nuclear PDFs and constraints from proton-lead
  collisions at the LHC

New hard-scattering measurements from the LHC proton-lead run have the
potential to provide important constraints on the nuclear parton distributions
and thus contributing to a better understanding of the initial state in heavy
ion collisions. In order to quantify these constraints, as well as to assess
the compatibility with available nuclear data from fixed target experiments and
from RHIC, the traditional strategy is to perform a global fit of nuclear PDFs.
This procedure is however time consuming and technically challenging, and
moreover can only be performed by the PDF fitters themselves. In the case of
proton PDFs, an alternative approach has been suggested that uses Bayesian
inference to propagate the effects of new data into the PDFs without the need
of refitting. In this work, we apply this reweighting procedure to study the
impact on nuclear PDFs of low-mass Drell-Yan and single-inclusive
hadroproduction pseudo-data from proton-lead collisions at the LHC as
representative examples. In the hadroproduction case, in addition we assess the
possibility of discriminating between the DGLAP and CGC production frameworks.
We find that the LHC proton-lead data could lead to a substantial reduction of
the uncertainties on nuclear PDFs, in particular for the small-x gluon PDF
where uncertainties could decrease by up to a factor two. The Monte Carlo
replicas of EPS09 used in the analysis are released as a public code for
general use. It can be directly used, in particular, by the experimental
collaborations to check, in a straightforward manner, the degree of
compatibility of the new data with the global nPDF analyses.Comment: 21 pages, 10 figure
On periodically driven AdS/CFT

We use the AdS/CFT correspondence to study a thermally isolated conformal
field theory in four dimensions which undergoes a repeated deformation by an
external periodic time-dependent source coupled to an operator of dimension
Delta. The initial state of the theory is taken to be at a finite temperature.
We compute the energy dissipated in the system as a function of the frequency
and of the dimension Delta of the perturbing operator. This is done in the
linear response regime. In order to study the details of thermalization in the
dual field theory, the leading-order backreaction on the AdS black brane metric
is computed. The evolution of the event and the apparent horizons is monitored;
the increase of area in each cycle coincides with the increase in the
equilibrium entropy corresponding to the amount of energy dissipated. The time
evolution of the entanglement entropy of a spherical region and that of the
two-points function of a probe operator with a large dimension are also
inspected; we find a delay in the thermalization of these quantities which is
proportional to the size of the region which is being probed. Thus, the delay
is more pronounced in the infrared. We comment on a possible transition in the
time evolution of the energy fluctuations.Comment: 44 pages, 35 figures; V2: corrected typo
A light Higgs scalar in the NMSSM confronted with the latest LHC Higgs
  data

In the Next-to-Minimal Supersymemtric Standard Model (NMSSM), one of the
neutral Higgs scalars (CP-even or CP-odd) may be lighter than half of the
SM-like Higgs boson. In this case, the SM-like Higgs boson h can decay into
such a light scalar pair and consequently the diphoton and ZZ signal rates at
the LHC will be suppressed. In this work, we examine the constraints of the
latest LHC Higgs data on such a possibility. We perform a comprehensive scan
over the parameter space of the NMSSM by considering various experimental
constraints and find that the LHC Higgs data can readily constrain the
parameter space and the properties of the light scalar, e.g., at 3 $\sigma$
level this light scalar should be highly singlet dominant and the branching
ratio of the SM-like Higgs boson decay into the scalar pair should be less than
about 30%. Also we investigate the detection of this scalar at various
colliders. Through a detailed Monte Carlo simulation we find that under the
constraints of the current Higgs data this light scalar can be accessible at
the LHC-14 with an integrated luminosity over 300 fb$^{-1}$.Comment: Accepted by JHE
Entanglement and Thermal Entropy of Gauge Fields

We consider the universal logarithmic divergent term in the entanglement
entropy of gauge fields in the Minkowski vacuum with an entangling sphere.
Employing the mapping in arXiv:1102.0440, we analyze the corresponding thermal
entropy on open Einstein universe and on the static patch of de Sitter. Using
the heat kernel of the vector Laplacian we resolve a discrepancy between the
free field calculation and the expected Euler conformal anomaly. The resolution
suggests a modification of the well known formulas for the vacuum expectation
value of the spin-1 energy-momentum tensor on conformally flat space-times.Comment: 17 page
Bino-Higgsino Mixed Dark Matter in a Focus Point Gaugino Mediation

We investigate the neutralino dark matter in the focus point gaugino
mediation model with the O(100) GeV gravitino. The thermal relic abundance of
the neutralino with a sizable Higgsino fraction can explain the dark matter
density at the present universe. The spin-independent cross section is
marginally consistent with the current upper limit from the XENON 100
experiment, and the whole parameter region can be covered at the XENON1T
experiment. We also discuss the origin of the gluino mass to wino mass ratio at
around 3/8, which is crucial for the mild fine-tuning in the electroweak
symmetry breaking sector. It is shown that the existence of the non-anomalous
discrete R-symmetry can fix this ratio to 3/8.Comment: 17 pages; 5 figure
1/2-BPS Domain wall from N=10 three dimensional gauged supergravity

We explicitly construct $N=10$ Chern-Simons gaged supergravity in three
dimensions with non-semisimple gauge group $SO(5)\ltimes \mathbf{T}^{10}$. The
gauge group is embedded in $E_{6(-14)}$ which is the isometry group of the
32-dimensional scalar manifold $E_{6(-14)}/SO(10)\times U(1)$. The resulting
theory is on-shell equivalent to $SO(5)$ Yang-Mills gauged supergravity coming
from dimensional reduction on $S^1$ of $SO(5)$ $N=5$ gauged supergravity in
four dimensions. We discuss the spectrum of the corresponding reduction. The
$SO(5)\ltimes \mathbf{T}^{10}$ gauged supergravity, describing the reduced
theory, admits a $\frac{1}{2}$-BPS domain wall vacuum solution whose explicit
form is also given. This provides an example of a domain wall in non-maximal
gauged supergravity.Comment: 20 pages no figures, the wrong number of the unbroken supersymmetry
  corrected and a few references adde
Decrypting the warped black strings

We propose a map for extracting the holographic meaning of the metric for a
class of warped AdS_3 black strings in type IIB supergravity. Our choice of
holographic data is based upon a general prescription due to Papadimitriou.
With this choice, we find a holographic stress tensor that is both symmetric
and conserved, at least when restricted to a particular sector of the theory.
Using the holographic stress tensor, we compute the energy and momentum per
unit length of the black strings, as well as the conformal anomaly, and we show
that the results agree with those previously obtained via covariant methods.Comment: 20 p
Topology of Future Infinity in dS/CFT

The dS/CFT proposal of Anninos, Hartman, and Strominger relates quantum
Vasiliev gravity in dS_4 to a large N vector theory in three dimensions. We use
this proposal to compute the Wheeler-de Witt wave function of a universe having
a particular topology at future infinity. This amplitude is found to grow
rapidly with the topological complexity of the spatial slice; this is due to
the plethora of states of the Chern-Simons theory that is needed to impose the
singlet constraint. Various mechanisms are considered which might ameliorate
this growth, but none seems completely satisfactory. We also study the topology
dependence in Einstein gravity by computing the action of complex instantons;
the wave function then depends on a choice of contour through the space of
metrics. The most natural contour prescription leads to a growth with genus
similar to the one found in Vasiliev theory, albeit with a different power of
Newton's constant.Comment: 1+32 page
Striped phases in the holographic insulator/superconductor transition

We study striped phases in holographic insulator/superconductor transition by
considering a spatially modulated chemical potential in AdS soliton background.
Generally striped phases can develop above a critical chemical potential. When
the constant leading term in the chemical potential is set to zero, a
discontinuity in the plot of charge density versus chemical potential is
observed in the limit of large wave vector. We explain this discontinuity using
an analytical approach. When the constant leading term in the chemical
potential is present, the critical chemical potential is larger than in the
case of a homogeneous chemical potential, which indicates that the spatially
modulated chemical potential disfavors the phase transition. This behavior is
also confirmed qualitatively by analytical calculations. We also calculate the
grand canonical potential and find that the striped phase is favored.Comment: 31 pages, 28 figures, 1 table, to appear in JHE