pinecone/core-2020-05-10-deduplication huggingface dataset:
Holographic R\'enyi entropy for CFT with $W$ symmetry

In this paper we investigate the holographic R\'enyi entropy of two disjoint
intervals on complex plane with small cross ratio $x$ for conformal field
theory with $W$ symmetry in the ground state, which could be dual to a higher
spin AdS$_3$ gravity. We focus on the cases of $W_3$ and $W_4$ symmetries. In
order to see the nontrivial contributions from the $W$ fields, we calculate the
R\'enyi entropy in the expansion of $x$ to order $x^8$ in both the gravity and
the CFT sides. In the gravity side the classical contributions to the
entanglement entropy is still given by the Ryu-Takayanagi area formula under
the reasonable assumption, while the 1-loop quantum corrections have to take
into account of the contributions not only from massless gravitons, but also
from massless higher spin fields. In the CFT side we still use the operator
product expansion of twist operators in the small interval limit, but now we
need to consider the quasiprimary fields constructed from $W$ fields, besides
the ones from Virasoro Verma module. In the large central charge limit, we
obtain the classical, 1-loop, 2-loop, and 3-loop parts of the R\'enyi entropy.
The classical and 1-loop results in the gravity and the CFT sides are in exact
match. This confirms the higher spin gravity/CFT correspondence, and also
supports the holographic computation of R\'enyi entanglement entropy, including
the quantum correction, in both the AdS$_3$ gravity and the higher spin AdS$_3$
gravity.Comment: 32 pages, published versio
N-Point Tree-Level Scattering Amplitude in the New Berkovits' String

We give a proof by direct computation that at tree level, the twistor-like
superstring theory in the pure spinor formalism proposed very recently by
Berkovits describes ten-dimensional N=1 super Yang-Mills in its heterotic
version, and type II supergravity in its type II version. The Yang-Mills case
agrees with the result obtained by Mafra, Schlotterer, Stieberger and Tsimpis.
When restricting to gluon and graviton scattering, this new theory gives rise
to Cachazo-He-Yuan formula.Comment: two footnotes added; version submitted to JHE
Analytical approximation of the neutrino oscillation matter effects at large θ 13

We argue that the neutrino oscillation probabilities in matter are best understood by allowing the mixing angles and mass-squared differences in the standard parametrization to ‘run’ with the matter effect parameter a = $ 2\sqrt{2}{G_F}{N_e}E $ , where N e is the electron density in matter and E is the neutrino energy. We present simple analytical approximations to these ‘running’ parameters. We show that for the moderately large value of θ 13 , as discovered by the reactor experiments, the running of the mixing angle θ 23 and the CP violating phase δ can be neglected. It simplifies the analysis of the resulting expressions for the oscillation probabilities considerably. Approaches which attempt to directly provide approximate analytical expressions for the oscillation probabilities in matter suffer in accuracy due to their reliance on expansion in θ 13 , or in simplicity when higher order terms in θ 13 are included. We demonstrate the accuracy of our method by comparing it to the exact numerical result, as well as the direct approximations of Cervera et al., Akhmedov et al., Asano and Minakata, and Freund. We also discuss the utility of our approach in figuring out the required baseline lengths and neutrino energies for the oscillation probabilities to exhibit certain desirable features
Twining Genera of (0,4) Supersymmetric Sigma Models on K3

Conformal field theories with (0,4) worldsheet supersymmetry and K3 target
can be used to compactify the E8xE8 heterotic string to six dimensions in a
supersymmetric manner. The data specifying such a model includes an appropriate
configuration of 24 gauge instantons in the E8xE8 gauge group to satisfy the
constraints of anomaly cancellation. In this note, we compute twining genera -
elliptic genera with appropriate insertions of discrete symmetry generators in
the trace - for (0,4) theories with various instanton embeddings. We do this by
constructing linear sigma models which flow to the desired conformal field
theories, and using the techniques of localization. We present several examples
of such twining genera which are consistent with a moonshine relating these
(0,4) models to the finite simple sporadic group M24.Comment: 22 pages, 3 tables. We thank T. Eguchi and K. Hikami for permission
  to copy our Tables 2 and 3 (M24 character table and q-expansions of some
  twining genera in the (4,4) sigma model with K3 target) from their article
  arXiv:1008.492
The Noether-Lefschetz Problem and Gauge-Group-Resolved Landscapes:
  F-Theory on K3 x K3 as a Test Case

Four-form flux in F-theory compactifications not only stabilizes moduli, but
gives rise to ensembles of string vacua, providing a scientific basis for a
stringy notion of naturalness. Of particular interest in this context is the
ability to keep track of algebraic information (such as the gauge group)
associated with individual vacua while dealing with statistics. In the present
work, we aim to clarify conceptual issues and sharpen methods for this purpose,
using compactification on ${\rm K3} \times {\rm K3}$ as a test case. Our first
approach exploits the connection between the stabilization of complex structure
moduli and the Noether-Lefschetz problem. Compactification data for F-theory,
however, involve not only a four-fold (with a given complex structure) $Y_4$
and a flux on it, but also an elliptic fibration morphism $Y_4 \longrightarrow
B_3$, which makes this problem complicated. The heterotic-F-theory duality
indicates that elliptic fibration morphisms should be identified modulo
isomorphism. Based on this principle, we explain how to count F-theory vacua on
${\rm K3} \times {\rm K3}$ while keeping the gauge group information.
Mathematical results reviewed/developed in our companion paper are exploited
heavily. With applications to more general four-folds in mind, we also clarify
how to use Ashok-Denef-Douglas' theory of the distribution of flux vacua in
order to deal with statistics of sub-ensembles tagged by a given set of
algebraic/topological information. As a side remark, we extend the
heterotic/F-theory duality dictionary on flux quanta and elaborate on its
connection to the semistable degeneration of a K3 surface.Comment: 81 pages, 5 figure
Tailoring three-point functions and integrability IV. Θ-morphism

We compute structure constants in $ \mathcal{N} $ = 4 SYM at one loop using Integrability. This requires having full control over the two loop eigenvectors of the dilatation operator for operators of arbitrary size. To achieve this, we develop an algebraic description called the Θ-morphism. In this approach we introduce impurities at each spin chain site, act with particular differential operators on the standard algebraic Bethe ansatz vectors and generate in this way higher loop eigenvectors. The final results for the structure constants take a surprisingly simple form, recently reported by us in the short note arXiv:1202.4103 . These are based on the tree level and one loop patterns together and also on some higher loop experiments involving simple operators
The universal Racah-Wigner symbol for Uq(osp(1|2))

We propose a new and elegant formula for the Racah-Wigner symbol of self-dual
continuous series of representations of Uq(osp(1|2)). It describes the entire
fusing matrix for both NS and R sector of N=1 supersymmetric Liouville field
theory. In the NS sector, our formula is related to an expression derived in
[1]. Through analytic continuation in the spin variables, our universal
expression reproduces known formulas for the Racah-Wigner coefficients of
finite dimensional representations.Comment: 27 pages, v2: discussion of analytic continuation of the main formula
  extended; some clarifications adde
Renyi entropies of free bosons on the torus and holography

We analytically evaluate the Renyi entropies for the two dimensional free
boson CFT. The CFT is considered to be compactified on a circle and at finite
temperature. The Renyi entropies S_n are evaluated for a single interval using
the two point function of bosonic twist fields on a torus. For the case of the
compact boson, the sum over the classical saddle points results in the
Riemann-Siegel theta function associated with the A_{n-1} lattice. We then
study the Renyi entropies in the decompactification regime. We show that in the
limit when the size of the interval becomes the size of the spatial circle, the
entanglement entropy reduces to the thermal entropy of free bosons on a circle.
We then set up a systematic high temperature expansion of the Renyi entropies
and evaluate the finite size corrections for free bosons. Finally we compare
these finite size corrections both for the free boson CFT and the free fermion
CFT with the one-loop corrections obtained from bulk three dimensional
handlebody spacetimes which have higher genus Riemann surfaces as its boundary.
One-loop corrections in these geometries are entirely determined by quantum
numbers of the excitations present in the bulk. This implies that the leading
finite size corrections contributions from one-loop determinants of the
Chern-Simons gauge field and the Dirac field in the dual geometry should
reproduce that of the free boson and the free fermion CFT respectively. By
evaluating these corrections both in the bulk and in the CFT explicitly we show
that this expectation is indeed true.Comment: Published version. 56 pages. 6 figures. Argument for the agreement of
  the leading finite size corrections evaluated from CFT and gravity has been
  adde
Probing CP violation in h → γγ with converted photons

We study Higgs diphoton decays, in which both photons undergo nuclear conversion to electron-positron pairs. The kinematic distribution of the two electron-positron pairs may be used to probe the CP violating (CPV) coupling of the Higgs to photons, that may be produced by new physics. Detecting CPV in this manner requires interference between the spin-polarized helicity amplitudes for both conversions. We derive leading order, analytic forms for these amplitudes. In turn, we obtain compact, leading-order expressions for the full process rate. While performing experiments involving photon conversions may be challenging, we use the results of our analysis to construct experimental cuts on certain observables that may enhance sensitivity to CPV. We show that there exist regions of phase space on which sensitivity to CPV is of order unity. The statistical sensitivity of these cuts are verified numerically, using dedicated Monte-Carlo simulations
Lattice Formulation for 2d N=(2,2), (4,4) Super Yang-Mills Theories
  without Admissibility Conditions

We present a lattice formulation for two-dimensional N=(2,2) and (4,4)
supersymmetric Yang-Mills theories that resolves vacuum degeneracy for gauge
fields without imposing admissibility conditions. Cases of U(N) and SU(N) gauge
groups are considered, gauge fields are expressed by unitary link variables,
and one or two supercharges are preserved on the two-dimensional square
lattice. There does not appear fermion doubler, and no fine-tuning is required
to obtain the desired continuum theories in a perturbative argument. This
formulation is expected to serve as a more convenient basis for numerical
simulations. The same approach will also be useful to other two-dimensional
supersymmetric lattice gauge theories with unitary link variables constructed
so far -- for example, N=(8,8) supersymmetric Yang-Mills theory and N=(2,2)
supersymmetric QCD.Comment: 19 pages, no figure, (v2) reference added, minor corrections, version
  to be published in JHE
General focus point in the MSSM

The minimal supersymmetric extension of the Standard Model (SM) is a well motivated scenario for physics beyond the SM, which allows a perturbative description of the theory up to scales of the order of the Grand Unification scale, where gauge couplings unify. The Higgs mass parameter is insensitive to the ultraviolet physics and is only sensitive to the scale of soft supersymmetry breaking parameters. Present collider bounds suggest that the characteristic values of these parameters may be significantly larger than the weak scale. Large values of the soft breaking parameters, however, induce large radiative corrections to the Higgs mass parameter and therefore the proper electroweak scale may only be obtained by a fine tuned cancellation between the square of the holomorphic μ parameter and the Higgs supersymmetry breaking square mass parameter. This can only be avoided if there is a correlation between the scalar and gaugino mass parameters, such that the Higgs supersymmetry breaking parameter remains of the order of the weak scale. The scale at which this happens is dubbed as focus point. In this article, we define the general conditions required for this to happen, for different values of the messenger scale at which supersymmetry breaking is transmitted to the observable sector, and for arbitrary boundary conditions of the sfermion, gaugino, and Higgs mass parameters. Specific supersymmetry breaking scenarios in which these correlations may occur are also discussed
Simplifying instanton corrections to N=4 SYM correlators

We compute instanton corrections to non-minimal correlation functions of
chiral primary operators in the N=4 super Yang-Mills super-current multiplet.
Using a representation in terms of Mellin integrals, we find that these
corrections can be written as conformal integrals in AdS_5 times certain
"kinematic" prefactors that are independent of the instanton moduli. We then
consider the consecutive, pairwise light-like limit x_{i, i+1}^2 -> 0 of such
correlators, and prove that the ratio between the instanton contribution and
the corresponding tree-level expression vanishes in this limit. We also
speculate on the extension to the non-perturbative level of the proposed
duality with polygonal Wilson loops and briefly discuss its potential
implications for scattering amplitudes.Comment: 38 pages, 3 figures; V2: 39 pages, 3 figures, JHEP versio
Higgs couplings and naturalness in λ -SUSY

We study Higgs boson couplings in the large- λ version of the Next-to-Minimal Supersymmetric Standard Model, known as λ -SUSY. We find that the predicted deviations from the Standard Model (SM) in these couplings are inversely correlated with the amount of fine-tuning needed to accommodate a 126 GeV Higgs. In the most natural regions of parameter space, the 126 GeV Higgs has large admixtures of both the SM-singlet and the non-SM Higgs doublet scalars, and such regions are already ruled out by the LHC. Future improvements in the Higgs coupling measurements will either discover deviations from the SM, or put further stress on naturalness in λ -SUSY. We present projections for future experiments and find that HL-LHC and the proposed e + e − Higgs factories can explore regions of parameter space that are fine-tuned at the level of up to 0.1%
Fundamental composite (Goldstone) Higgs dynamics

We provide a unified description, both at the effective and fundamental Lagrangian level, of models of composite Higgs dynamics where the Higgs itself can emerge, depending on the way the electroweak symmetry is embedded, either as a pseudo-Goldstone boson or as a massive excitation of the condensate. We show that, in general, these states mix with repercussions on the electroweak physics and phenomenology. Our results will help clarify the main differences, similarities, benefits and shortcomings of the different ways one can naturally realize a composite nature of the electroweak sector of the Standard Model. We will analyze the minimal underlying realization in terms of fundamental strongly coupled gauge theories supporting the flavor symmetry breaking pattern SU(4)/Sp(4) ~ SO(6)/SO(5). The most minimal fundamental description consists of an SU(2) gauge theory with two Dirac fermions transforming according to the fundamental representation of the gauge group. This minimal choice enables us to use recent first principle lattice results to make the first predictions for the massive spectrum for models of composite (Goldstone) Higgs dynamics. These results are of the utmost relevance to guide searches of new physics at the Large Hadron Collider
Measurements of the $B^+$, $B^0$, $B_s^0$ meson and $\Lambda_b^0$ baryon lifetimes

Measurements of $b$-hadron lifetimes are reported using $pp$ collision data, corresponding to an integrated luminosity of 1.0fb$^{-1}$, collected by the LHCb detector at a centre-of-mass energy of $7$Tev. Using the exclusive decays $B^+\to J/\psi K^+$, $B^0\to J/\psi K^*(892)^0$, $B^0\to J/\psi K^0_{\rm S}$, $\Lambda_b^0\to J/\psi \Lambda$ and $B^0_s\to J/\psi \phi$ the average decay times in these modes are measured to be $\tau_{B^+\to J/\psi K^+}$ = $1.637 \pm$ 0.004 $\pm$ 0.003 ps, $\tau_{B^0\to J/\psi K^*(892)^0}$ = $1.524 \pm$ 0.006 $\pm$ 0.004 ps, $\tau_{B^0\to J/\psi K^0_{\rm S}}$ = $1.499 \pm$ 0.013 $\pm$ 0.005 ps, $\tau_{\Lambda_b^0\to J/\psi \Lambda}$ = $1.415 \pm$ 0.027 $\pm$ 0.006 ps and $\tau_{B^0_s\to J/\psi \phi}$ = $1.480 \pm$ 0.011 $\pm$ 0.005 ps, where the first uncertainty is statistical and the second is systematic. These represent the most precise lifetime measurements in these decay modes. In addition, ratios of these lifetimes, and the ratio of the decay-width difference, $\Delta\Gamma_d$, to the average width, $\Gamma_d$, in the $B^0$ system, $\Delta \Gamma_d/\Gamma_d = -0.044 \pm 0.025 \pm 0.011$, are reported. All quantities are found to be consistent with Standard Model expectations
Friedmann equation and the emergence of cosmic space

In this paper, we show that Padmanabhan’s conjecture for the emergence of cosmic space [arXiv:1206.4916] holds for the flat Friedmann-Robertson-Walker universe in Einstein gravity but does not hold for the non-flat case unless one uses the aerial volume instead of the proper volume. Doing this, we also show that various works extending Padmanabhan’s conjecture to non-Einstein and non-flat cases have serious shortfalls. This analysis is done using the Friedmann equation with the further assumptions of the holographic principle and the equipartition rule of energy
CP violating phase from charged-lepton mixing

A model independent analysis of the leptonic Dirac CP-violating phase ( δ ) is presented. The analysis uses the experimentally determined values of the mixing angles in the lepton mixing matrix in order to explore the allowed values for δ and possible general forms for the charged lepton mixing matrix. This is done under two general assumptions: 1) that the mixing matrix in the neutrino sector is the so-called tribimaximal matrix and hence the non zero value for θ 13 arises due to the mixing matrix in the charged lepton sector and 2) the charged lepton mixing matrix is parametrized in terms of three angles and one phase. It is found that any value of δ is still consistent with the data and that, considering the assumptions above, regardless of the value for δ , the 1 − 3 mixing angle in the charged lepton sector is small but non zero and the 2 − 3 mixing angle can take values in only two possible small ranges around 0 and π /2 respectively
Charge density wave instability in holographic d-wave superconductor

We report the observation of the spatially modulated static mode in the
spectrum of fluctuations around the condensed phase of the holographic d-wave
superconductor. The mode involves the time component of the gauge field that is
related to the charge density wave in the dual superconductor. No additional
ingredients are added to the action of five dimensional theory. We speculate on
the relevance of the observed mode to the formation of the pseudogap state.Comment: jheppub, 17 pages, 4 figures. v2: temperature normalization fixed,
  v3: the journal version, discussion of P-symmetry improve
Projectors, shadows, and conformal blocks

We introduce a method for computing conformal blocks of operators in arbitrary Lorentz representations in any spacetime dimension, making it possible to apply bootstrap techniques to operators with spin. The key idea is to implement the “shadow formalism” of Ferrara, Gatto, Grillo, and Parisi in a setting where conformal invariance is manifest. Conformal blocks in d -dimensions can be expressed as integrals over the projective null-cone in the “embedding space” $ \mathbb{R} $ d +1,1 . Taking care with their analytic structure, these integrals can be evaluated in great generality, reducing the computation of conformal blocks to a bookkeeping exercise. To facilitate calculations in four-dimensional CFTs, we introduce techniques for writing down conformally-invariant correlators using auxiliary twistor variables, and demonstrate their use in some simple examples
Resolving Witten's Superstring Field Theory

We regulate Witten's open superstring field theory by replacing the
picture-changing insertion at the midpoint with a contour integral of picture
changing insertions over the half-string overlaps of the cubic vertex. The
resulting product between string fields is non-associative, but we provide a
solution to the $A_\infty$ relations defining all higher vertices. The result
is an explicit covariant superstring field theory which by construction
satisfies the classical BV master equation.Comment: V2: Added discussion of 4-point amplitudes. 33 pages, 4 figure
M5 brane and four dimensional N=1 theories I

Four dimensional N=1 theories are engineered by compactifying six dimensional
(2,0) theory on a Riemann surface with regular punctures. A generalized
Hitchin's equation involving two Higgs fields is proposed as the BPS equation
for N=1 compactification. The puncture is interpreted as the singular boundary
condition of this equation, and regular puncture is shown to be labeled by a
nilpotent commuting pair. In this paper, we focus on a subset of regular
puncture which is described by rotating branes representing N=2 puncture. As an
application, we show that the Seiberg duality of SU(N) SQCD with Nf=2N and
certain superpotential term is realized as different degeneration limits of the
same punctured Riemann surface, and also find four more dual theories.Comment: 30 pages, 18 figure
BPS states in the Ω-background and torus knots

We clarify some issues concerning the central charges saturated by the extended objects in the SUSY U(1) 4 d gauge theory in the Ω-background. The configuration involving the monopole localized at the domain wall is considered in some details. At the rational ratio $ \frac{{{\in_1}}}{{{\in_2}}}=\frac{p}{q} $ the trajectory of the monopole provides the torus ( p,q ) knot in the squashed three-sphere. Using the relation between the integrable systems of Calogero type at the rational couplings and the torus knots we interpret this configuration in terms of the auxiliary 2 d quiver theory or 3 d theory with nontrivial boundary conditions. This realization can be considered as the AGT-like representation of the torus knot invariants
Discrete symmetries in the Kaluza-Klein theories

In theories of the Kaluza-Klein kind there are spins or total angular moments in higher dimensions which manifest as charges in the observable d = (3 + 1). The charge conjugation requirement, if following the prescription in (3 + 1), would transform any particle state out of the Dirac sea into the hole in the Dirac sea, which manifests as an anti-particle having all the spin degrees of freedom in d , except S 03 , the same as the corresponding particle state. This is in contradiction with what we observe for the anti-particle. In this paper we redefine the discrete symmetries so that we stay within the subgroups of the starting group of symmetries, while we require that the angular moments in higher dimensions manifest as charges in d = (3 + 1). We pay attention on spaces with even d