pinecone/core-2020-05-10-deduplication huggingface dataset:
Boundaries and Defects of N=4 SYM with 4 Supercharges, Part II: Brane
  Constructions and 3d N=2 Field Theories

We study the vacuum moduli spaces of 3d N=2 supersymmetric quantum field
theories by applying the formalism developed in our previous paper
arXiv:1404.5527. The 3d theories can be realized by branes in type IIB string
theory, which in a decoupling limit reduce to 4d N=4 super-Yang-Mills theory on
an interval with BPS defects inserted. The moduli space of a given 3d theory is
obtained by solving a generalization of Nahm's equations with appropriate
boundary/junction conditions, along with help from the S-duality of type IIB
string theory. Our classical computations reproduce many known results about
the quantum-corrected moduli spaces of 3d theories, e.g. U(N_c) theories with
N_f flavors with mass and FI parameters turned on. In particular, our methods
give first-principles derivations of several results in the literature,
including the s-rule, quantum splitting of classical Coulomb branches, the
lifting of the Coulomb branch by non-Abelian instantons, quantum merging of
Coulomb and Higgs branches, and phase transitions from re-ordering 5-branes.Comment: 83 pages, 27 figure
NMSSM with a singlino LSP: possible challenges for searches for
  supersymmetry at the LHC

A light singlino in the NMSSM can reduce considerably the missing transverse
energy at the end of sparticle decay cascades; instead, light NMSSM-specific
Higgs bosons can be produced. Such scenarios can be consistent with present
constraints from the LHC with all sparticle masses below ~1 TeV. We discuss
search strategies, which do not rely on missing transverse energy, for such
scenarios at the next run of the LHC near 14 TeV.Comment: 20 pages, 9 Figures. References and experimental constraints added;
  slight change of benchmark point, conclusions unchange
Renormalization of a Lorentz invariant doubled worldsheet theory

Manifestly T-duality covariant worldsheet string models can be constructed by doubling the coordinate fields. We describe the underlying gauge symmetry of a recently proposed Lorentz invariant doubled worldsheet theory that makes half of the worldsheet degrees of freedom redundant. By shifting the Lagrange multiplier, that enforces the gauge fixing condition, the worldsheet action can be cast into various guises. We investigate the renormalization of this theory using a non-linear background/quantum split by employing a normal coordinate expansion adapted to the gauge-fixed theory. The propagator of the doubled coordinates contains a projection operator encoding that half of them do not propagate. We determine the doubled target space equations of motion by requiring one-loop Weyl invariance. Some of them are generalizations of the conventional sigma model beta-functions, while others seem to be novel to the doubled theory: in particular, a dilaton equation seems related to the strong constraint of double field theory. However, the other target space field equations are not identical to those of double field theory
Holomorphic bundles and the moduli space of N=1 supersymmetric heterotic compactifications

We describe the first order moduli space of heterotic string theory compactifications which preserve N =1 supersymmetry in four dimensions, that is, the infinitesimal parameter space of the Strominger system. We establish that if we promote a connection on T X to a field, the moduli space corresponds to deformations of a holomorphic structure D ¯ $$ \overline{D} $$ on a bundle Q $$ \mathcal{Q} $$ . The bundle Q $$ \mathcal{Q} $$ is constructed as an extension by the cotangent bundle T ∗ X of the bundle E = End( V )⊕End( TX )⊕ TX with an extension class H $$ \mathcal{H} $$ which precisely enforces the anomaly cancelation condition. The deformations corresponding to the bundle E are simultaneous deformations of the holomorphic structures on the poly-stable bundles V and T X together with those of the complex structure of X . We discuss the fact that the “moduli” corresponding to End( T X ) cannot be physical, but are however needed in our mathematical structure to be able to enforce the anomaly cancelation condition. In the appendix we comment on the choice of connection on T X which has caused some confusion in the community before. It has been shown by Ivanov and others that this connection should also satisfy the instanton equations, and we give another proof of this fact
Modular anomaly equations in N=2* theories and their large-N limit

We propose a modular anomaly equation for the prepotential of the N=2* super
Yang-Mills theory on R^4 with gauge group U(N) in the presence of an
Omega-background. We then study the behaviour of the prepotential in a large-N
limit, in which N goes to infinity with the gauge coupling constant kept fixed.
In this regime instantons are not suppressed. We focus on two representative
choices of gauge theory vacua, where the vacuum expectation values of the
scalar fields are distributed either homogeneously or according to the Wigner
semi-circle law. In both cases we derive an all-instanton exact formula for the
prepotential. As an application, we show that the gauge theory partition
function on S^4 at large N localises around a Wigner distribution for the
vacuum expectation values leading to a very simple expression in which the
instanton contribution becomes independent of the coupling constant.Comment: LaTeX, 32 pages, no figure
The moduli space of vacua of N=2 class S theories

We develop a systematic method to describe the moduli space of vacua of four
dimensional $\mathcal{N}=2$ class ${\cal S}$ theories including Coulomb branch,
Higgs branch and mixed branches. In particular, we determine the Higgs and
mixed branch roots, and the dimensions of the Coulomb and Higgs components of
mixed branches. They are derived by using generalized Hitchin's equations
obtained from twisted compactification of 5d maximal Super-Yang-Mills, with
local degrees of freedom at punctures given by (nilpotent) orbits. The crucial
thing is the holomorphic factorization of the Seiberg-Witten curve and
reduction of singularity at punctures. We illustrate our method by many
examples including ${\mathcal N}=2$ SQCD, $T_N$ theory and Argyres-Douglas
theories.Comment: 33 pages, 4 figure
The Scattering Variety

The so-called Scattering Equations which govern the kinematics of the
scattering of massless particles in arbitrary dimensions have recently been
cast into a system of homogeneous polynomials. We study these as affine and
projective geometries which we call Scattering Varieties by analyzing such
properties as Hilbert series, Euler characteristic and singularities.
Interestingly, we find structures such as affine Calabi-Yau threefolds as well
as singular K3 and Fano varieties.Comment: 29 pages; v2: substantially improved presentation, results added
  (Hodge diamond), references added, typos correcte
Cosmological singleton gravity theory and dS/LCFT correspondence

We study the evolution of cosmological perturbations generated during de
Sitter inflation in the singleton gravity theory. This theory is composed of a
dipole ghost pair in addition to tensor. We obtain the singleton power spectra
which show that the de Sitter/logarithmic conformal field theory (dS/LCFT)
correspondence works for computing the power spectra in the superhorizon limit.
Also we compute the spectral indices for light singleton which contains a
logarithmic correction.Comment: 1+18 pages, no figures, published versio
Non linear evolution: revisiting the solution in the saturation region

In this paper we revisit the problem of the solution to Balitsky-Kovchegov equation deeply in the saturation domain. We find that solution has the form given in ref. [23] but it depends on variable z ¯ = ln x 2 Q s 2 + Const $$ \overline{z}= \ln \left({x}^2{Q}_s^2\right)+\mathrm{Const} $$ and the value of Const is calculated in this paper. We propose the solution for full BFKL kernel at large z ¯ $$ \overline{z} $$ in the entire kinematic region that satisfies the McLerran-Venugopalan-type [3–7] initial condition
Higgs boson production through $b \bar b$ annihilation at threshold in
  N$^3$LO QCD

We present threshold enhanced N$^3$LO QCD corrections to inclusive Higgs
production through bottom anti-bottom annihilation at hadron colliders using
threshold resummed cross section. The resummed cross section is obtained using
factorization properties and Sudakov resummation of the inclusive cross
section. We use the recent results on threshold N$^3$LO corrections in QCD for
Drell-Yan production and three loop QCD corrections to Higgs form factor with
bottom anti-bottom quark to achieve this task. This is the first step towards
the evaluation of complete N$^3$LO result. We have numerically demonstrated the
importance of such corrections at the LHC.Comment: 15 pages, 1 figur
Uniform order phase and phase diagram of scalar field theory on fuzzy ℂ P n

We study the phase structure of the scalar field theory on fuzzy ℂ P n in the large N limit. Considering the theory as a hermitian matrix model we compute the perturbative expansion of the kinetic term effective action under the assumption of distributions being close to the semicircle. We show that this model admits also a uniform order phase, corresponding to the asymmetric one-cut distribution, and we find the phase boundary. We compute a non-perturbative approximation to the effective action which enables us to identify the disorder and the non-uniform order phases and the phase transition between them. We locate the triple point of the theory and find an agreement with previous numerical studies for the case of the fuzzy sphere
Antipodally symmetric gauge fields and higher-spin gravity in de Sitter space

We study gauge fields of arbitrary spin in de Sitter space. These include Yang-Mills fields and gravitons, as well as the higher-spin fields of Vasiliev theory. We focus on antipodally symmetric solutions to the field equations, i.e. ones that live on “elliptic” de Sitter space d S 4 / ℤ 2 $$ d{S}_4/{\mathrm{\mathbb{Z}}}_2 $$ . For free fields, we find spanning sets of such solutions, including boundary-to-bulk propagators. We find that free solutions on d S 4 / ℤ 2 $$ d{S}_4/{\mathrm{\mathbb{Z}}}_2 $$ can only have one of the two types of boundary data at infinity, meaning that the boundary 2-point functions vanish. In Vasiliev theory, this property persists order by order in the interaction, i.e. the boundary n -point functions in d S 4 / ℤ 2 $$ d{S}_4/{\mathrm{\mathbb{Z}}}_2 $$ all vanish. This implies that a higher-spin dS/CFT based on the Lorentzian d S 4 / ℤ 2 $$ d{S}_4/{\mathrm{\mathbb{Z}}}_2 $$ action is empty. For more general interacting theories, such as ordinary gravity and Yang-Mills, we can use the free-field result to define a well-posed perturbative initial value problem in d S 4 / ℤ 2 $$ d{S}_4/{\mathrm{\mathbb{Z}}}_2 $$
6d, N=(1,0) Coulomb Branch Anomaly Matching

6d QFTs are constrained by the analog of 't Hooft anomaly matching: all
anomalies for global symmetries and metric backgrounds are constants of RG
flows, and for all vacua in moduli spaces. We discuss an anomaly matching
mechanism for 6d N=(1,0) theories on their Coulomb branch. It is a global
symmetry analog of Green-Schwarz-West-Sagnotti anomaly cancellation, and
requires the apparent anomaly mismatch to be a perfect square, $\Delta
I_8={1\over 2}X_4^2$. Then $\Delta I_8$ is cancelled by making $X_4$ an
electric / magnetic source for the tensor multiplet, so background gauge field
instantons yield charged strings. This requires the coefficients in $X_4$ to be
integrally quantized. We illustrate this for N=(2,0) theories. We also consider
the N=(1,0) SCFTs from N small $E_8$ instantons, verifying that the recent
result for its anomaly polynomial fits with the anomaly matching mechanism.Comment: 12 pages, no figure
Measurement of time-dependent CP violation in B 0 → η ′ K 0 decays

We present a measurement of the time-dependent CP violation parameters in B 0 → η ′ K 0 decays. The measurement is based on the full data sample containing 772 × 10 6 B B ¯ $$ B\overline{B} $$ pairs collected at the Υ(4 S ) resonance using the Belle detector at the KEKB asymmetric-energy e + e − collider. The measured values of the mixing-induced and direct CP violation parameters are: sin 2 ϕ 1 eff = + 0.68 ± 0.07 ± 0.03 , $$ \sin\ 2{\phi}_1^{\mathrm{eff}}=+0.68\pm 0.07\pm 0.03, $$ A η ′ K 0 = + 0.03 ± 0.05 ± 0.04 , $$ {\mathcal{A}}_{{{{}_{\eta}}_{\prime}}_{K^0}}=+0.03\pm 0.05\pm 0.04, $
OPE of the energy-momentum tensor correlator and the gluon condensate
  operator in massless QCD to three-loop order

The correlator of two gluonic operators plays an important role for example
in transport properties of a Quark Gluon Plasma (QGP) or in sum rules for
glueballs.
  In [1] an operator product expansion (OPE) at zero temperature was performed
for the correlators of two scalar operators $O_1=-\frac{1}{4} G^{\mu \nu}G_{\mu
\nu}$ and two QCD energy-momentum tensors $T^{\mu\nu}$. There we presented
analytical two-loop results for the Wilson coefficient $C_1$ in front of the
gluon condensate operator $O_1$. In this paper these results are extended to
three-loop order.
  The three-loop Wilson coefficient $C_0$ in front of the unity operator
$O_0=1$ was already presented in [1] for the $T^{\mu\nu}$-correlator. For the
$O_1$-correlator the coefficient $C_0$ is known to four loop order from [2].
For the correlator of two pseudoscalar operators
$\tilde{O}_1=\varepsilon_{\mu\nu\rho\sigma} G^{\mu \nu} G^{\rho \sigma}$ both
coefficients $C_0$ and $C_1$ were computed in [3] to three-loop order. At zero
temperature $C_0$ and $C_1$ are the leading Wilson coefficients in massless
QCD.Comment: v2: typos fixed: sign error in (2.18) and (2.19) corrected; all
  calculated results stay untouched; Note added about the origin of the contact
  terms in the scalar gluonic correlato
Higgs boson CP -properties of the gluonic contributions in Higgs plus three jet production via gluon fusion at the LHC

In high energy hadronic collisions, a general CP -violating Higgs boson Φ with accompanying jets can be efficiently produced via gluon fusion, which is mediated by heavy quark loops. In this article, we study the dominant sub-channel gg → ggg Φ of the gluon fusion production process with triple real emission corrections at order α s 5 . We go beyond the heavy top-quark approximation and include the full mass dependence of the top- and bottom-quark contributions. Furthermore, in a specific model we demonstrate the features of our program and show the impact of bottom-quark loop contributions in combination with large values of tan β on differential distributions sensitive to CP -measurements of the Higgs boson
Firewalls in AdS/CFT

Several recent papers argue against firewalls by relaxing the requirement for locality outside the stretched horizon. In the firewall argument, locality essentially serves the purpose of ensuring that the degrees of freedom required for infall are those in the proximity of the black hole and not the ones in the early radiation. We make the firewall argument sharper by utilizing the AdS/CFT framework and claim that the firewall argument essentially states that the dual to a thermal state in the CFT is a firewall
The goldstone and goldstino of supersymmetric inflation

We construct the minimal effective field theory (EFT) of supersymmetric
inflation, whose field content is a real scalar, the goldstone for
time-translation breaking, and a Weyl fermion, the goldstino for supersymmetry
(SUSY) breaking. The inflating background can be viewed as a single
SUSY-breaking sector, and the degrees of freedom can be efficiently
parameterized using constrained superfields. Our EFT is comprised of a chiral
superfield X_NL containing the goldstino and satisfying X_NL^2 = 0, and a real
superfield B_NL containing both the goldstino and the goldstone, satisfying
X_NL B_NL = B_NL^3 = 0. We match results from our EFT formalism to existing
results for SUSY broken by a fluid background, showing that the goldstino
propagates with subluminal velocities. The same effect can also be derived from
the unitary gauge gravitino action after embedding our EFT in supergravity. If
the gravitino mass is comparable to the Hubble scale during inflation, we
identify a new parameter in the EFT related to a time-dependent phase of the
gravitino mass parameter. We briefly comment on the leading contributions of
goldstino loops to inflationary observables.Comment: 32 pages, 2 figures. v3: clarifications and references added. Matches
  JHEP version. v2: typos fixed, footnote and references adde
A $\mathcal{N}=2$ Supersymmetric $AdS_4$ Solution in M-theory with
  Purely Magnetic Flux

We find a new $\mathcal{N}=2$ $AdS_4$ solution in M-theory supported by
purely magnetic flux via a sequence of abelian and non-abelian T-dualities.
This provides the second known example in this class besides the uplift of the
Pernici and Sezgin solution to 7d gauged supergravity constructed in the
eighties. We compute the free energy of the solution, and show that it scales
as $N^{3/2}$. It is intriguing that even though the natural holographic
interpretation is in terms of M5-branes wrapped on a special Lagrangian
3-cycle, this solution does not exhibit the expected $N^3$ behavior.Comment: 19 pages plus appendices. v2 metadata amended, reference adde
Microscopic Entropy of the Magnetised Extremal Reissner-Nordstrom Black
  Hole

The extremal Reissner-Nordstrom black hole embedded in a Melvin-like magnetic
universe is studied in the framework of the Kerr/CFT correspondence. The near
horizon geometry can be written as a warped and twisted product of $AdS_2
\times S^2$, also in presence of an axial external magnetic field that deforms
the black hole. The central charge of the Virasoro algebra can be extracted
from the asymptotic symmetries. Using the Cardy formula for the microscopic
statistical entropy of the dual two-dimensional CFT, the Bekenstein-Hawking
entropy, for this charged and magnetised black hole, is reproduced.Comment: 12 pages, accepted for publication in JHE
Group manifold approach to higher spin theory

We consider the group manifold approach to higher spin theory. The deformed
local higher spin transformation is realized as the diffeomorphism
transformation in the group manifold $\textbf{M}$. With the suitable rheonomy
condition and the torsion constraint imposed, the unfolded equation can be
obtained from the Bianchi identity, by solving which, fields in $\textbf{M}$
are determined by the multiplet at one point, or equivalently, by
$(W^{[a(s-1),b(0)]}_{\mu},H)$ in $AdS_{4}\subset \textbf{M}$. Although the
space is extended to $\textbf{M}$ to get the geometrical formulation, the
dynamical degrees of freedom are still in $AdS_{4}$. The $4d$ equations of
motion for $(W^{[a(s-1),b(0)]}_{\mu},H)$ are obtained by plugging the rheonomy
condition into the Bianchi identity. The proper rheonomy condition allowing for
the maximum on-shell degrees of freedom is given by Vasiliev equation. We also
discuss the theory with the global higher spin symmetry, which is in parallel
with the WZ model in supersymmetry.Comment: 35 pages,v2: revised version, v3: 38 pages, improved discussion on
  global HS symmetry, clarifications added in appendix B, journal versio
Instantons in Lifshitz Field Theories

BPS instantons are discussed in Lifshitz-type anisotropic field theories. We
consider generalizations of the sigma model/Yang-Mills instantons in
renormalizable higher dimensional models with the classical Lifshitz scaling
invariance. In each model, BPS instanton equation takes the form of the
gradient flow equations for "the superpotential" defining "the detailed balance
condition". The anisotropic Weyl rescaling and the coset space dimensional
reduction are used to map rotationally symmetric instantons to vortices in
two-dimensional anisotropic systems on the hyperbolic plane. As examples, we
study anisotropic BPS baby Skyrmion 1+1 dimensions and BPS Skyrmion in 2+1
dimensions, for which we take Kahler 1-form and the Wess-Zumiono-Witten term as
the superpotentials, respectively, and an anisotropic generalized Yang-Mills
instanton in 4+1 dimensions, for which we take the Chern-Simons term as the
superpotential.Comment: 32 pages, 5 figure
New Vector-Like Fermions and Flavor Physics

We study renormalizable extensions of the standard model that contain
vector-like fermions in a (single) complex representation of the standard model
gauge group. There are 11 models where the vector-like fermions Yukawa couple
to the standard model fermions via the Higgs field. These models do not
introduce additional fine- tunings. They can lead to, and are constrained by, a
number of different flavor- changing processes involving leptons and quarks, as
well as direct searches. An interesting feature of the models with strongly
interacting vector-like fermions is that constraints from neutral meson mixings
(apart from CP violation in neutral kaon mixing) are not sensitive to higher
scales than other flavor-changing neutral-current processes. We identify order
1/(4 pi M)^2 (where M is the vector-like fermion mass) one-loop contributions
to the coefficients of the four-quark operators for meson mixing, that are not
suppressed by standard model quark masses and/or mixing angles.Comment: 25 pages, 3 figures, several issues are added, accepted in JHE
On modular transformations of non-degenerate toric conformal blocks

We derive and solve the difference equations on the toric modular kernel
following from the consistency relations in the fusion algebra. The result is
explicit and simple series expansion for the toric modular kernel of
non-degenerate Virasoro conformal blocks. We show that this expansion is
equivalent to the celebrated integral representation due to B. Ponsot and J.
Teschner. We also interpret obtained series representation as a
non-perturbative expansion and note that this raises further questions.Comment: 19+7 pages; v2: minor revisio
Study of lepton flavor violation in flavor symmetric models for lepton sector

Flavor symmetric model is one of the attractive Beyond Standard Models (BSMs) to reveal the flavor structure of the Standard Model (SM). A lot of efforts have been put into the model building and we find many kinds of flavor symmetries and setups are able to explain the observed fermion mass matrices. In this paper, we look for common predictions of physical observables among the ones in flavor symmetric models, and try to understand how to test flavor symmetry in experiments. Especially, we focus on the BSMs for leptons with extra Higgs SU(2)Ldoublets charged under flavor symmetry. In many flavor models for leptons, remnant symmetry is partially respected after the flavor symmetry breaking, and it controls well the Flavor Changing Neutral Currents (FCNCs) and suggests some crucial predictions against the flavor changing process, although the remnant symmetry is not respected in the full lagrangian. In fact, we see that τ[−]→ e[+]μ[−]μ[−](μ[+]e[−]e[−]) and e[+]e[−]→ τ[+]τ[−](μ[−]μ[+]) processes are the most important in the flavor models that the extra Higgs doublets belong to triplet representation of flavor symmetry. For instance, the stringent constraint from the μ → eγ process could be evaded according to the partial remnant symmetry. We also investigate the breaking effect of the remnant symmetry mediated by the Higgs scalars, and investigate the constraints from the flavor physics: the flavor violating τ and μ decays, the electric dipole moments, and the muon anomalous magnetic moment. We also discuss the correlation between FCNCs and nonzero θ[13], and point out the physical observables in the charged lepton sector to test the BSMs for the neutrino mixing