pinecone/core-2020-05-10-deduplication huggingface dataset:
Notes on the pure spinor b ghost

In this work, a particular BRST-exact class of deformations of the b ghost in
the non-minimal pure spinor formalism is investigated and the impact of this
construction in the $\mathcal{N}=2$ $\hat{c}=3$ topological string algebra is
analysed. As an example, a subclass of deformations is explicitly shown, where
the U(1) current appears in a conventional form, involving only the ghost
number currents. Furthermore, a c ghost like composite field is introduced, but
with an unusual construction.Comment: 19 pages; footnotes added; typos fixed; Published versio
3d dualities from 4d dualities

Many examples of low-energy dualities have been found in supersymmetric gauge
theories with four supercharges, both in four and in three space-time
dimensions. In these dualities, two theories that are different at high
energies have the same low-energy limit. In this paper we clarify the relation
between the dualities in four and in three dimensions. We show that every four
dimensional duality gives rise to a three dimensional duality between theories
that are similar, but not identical, to the dimensional reductions of the four
dimensional dual gauge theories to three dimensions. From these specific three
dimensional dualities one can flow to many other low-energy dualities,
including known three dimensional dualities and many new ones. We discuss in
detail the case of three dimensional SU(N_c) supersymmetric QCD theories,
showing how to derive new duals for these theories from the four dimensional
duality.Comment: 84 pages, 3 figures, harvmac. v2: added an appendix on the reduction
  of the 4d index to the 3d partition function, added references, minor
  corrections and change
Singlet-Assisted Supersymmetry Breaking For $Sp(2N)$ Theories

We investigate local supersymmetry-breaking vacua in s-confining theories
with gauge group $Sp(2N)$. By adapting the general recipe developed by Shadmi
and Shirman, we construct a realistic model based on dynamics of SQCD coupled
with singlets which allows a spontaneously broken supersymmetry. Since the
chiral superfields in model have R-charges R=0 and R=2 only, the tedious
computations of Coleman-Weinberg potential can be greatly alleviated from the
lesson of David Shih. We observe that the pseudomoduli fields are stabilized at
the origin of moduli space at one-loop order with calculability being
preserved.Comment: 11 pages, English presentation is improved and some statements are
  clarified, submit to JHE
Measurement of the  Λ0b lifetime in pp collisions at √s =7 TeV

A measurement of the Λ[superscript 0][subscript b] lifetime using the decay Λ[superscript 0][subscript b] to → J/ψΛ in protonproton collisions at √s =7 TeV is presented. The data set, corresponding to an integrated luminosity of about 5 fb[superscript −1], was recorded with the CMS experiment at the Large Hadron Collider using triggers that selected dimuon events in the J/ψ mass region. The Λ[superscript 0][subscript b] lifetime is measured to be 1.503 ± 0.052 (stat.) ± 0.031 (syst.) ps.United States. Department of EnergyNational Science Foundation (U.S.
On the Universality of Inner Black Hole Mechanics and Higher Curvature Gravity

Black holes are famous for their universal behavior. New thermodynamic relations have been found recently for the product of gravitational entropies over all the horizons of a given stationary black hole. This product has been found to be independent of the mass for all such solutions of Einstein-Maxwell theory in d=4,5. We study the universality of this mass independence by introducing a number of possible higher curvature corrections to the gravitational action. We consider finite temperature black holes with both asymptotically flat and (A)dS boundary conditions. Although we find examples for which mass independence of the horizon entropy product continues to hold, we show that the universality of this property fails in general. We also derive further thermodynamic properties of inner horizons, such as the first law and Smarr relation, in the higher curvature theories under consideration, as well as a set of relations between thermodynamic potentials on the inner and outer horizons that follow from the horizon entropy product, whether or not it is mass independent.Fil: Castro, Alejandra. Harvard University. Center for the Fundamental Laws of Nature; Estados Unidos de América;Fil: Dehmami, Nima. Boston University. Physics Department; Estados Unidos de América;Fil: Giribet, Gaston Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires; Argentina; Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina;Fil: Kastor, David. University of Massachusetts. Department of Physics; Estados Unidos de América
Up Sector of Minimal Flavor Violation: Top Quark Properties and Direct D
  meson CP violation

Minimal Flavor Violation in the up-type quark sector leads to particularly
interesting phenomenology due to the interplay of flavor physics in the charm
sector and collider physics from flavor changing processes in the top sector.
We study the most general operators that can affect top quark properties and
$D$ meson decays in this scenario, concentrating on two CP violating operators
for detailed studies. The consequences of these effective operators on charm
and top flavor changing processes are generically small, but can be enhanced if
there exists a light flavor mediator that is a Standard Model gauge singlet
scalar and transforms under the flavor symmetry group. This flavor mediator can
satisfy the current experimental bounds with a mass as low as tens of GeV and
explain observed $D$-meson direct CP violation. Additionally, the model
predicts a non-trivial branching fraction for a top quark decay that would
mimic a dijet resonance.Comment: 27 pages, 7 figure
Holographic Thermalization from Kerr-AdS

We study thermalization of a strongly coupled theory holographically dual to
a thin shell of null dust with non-zero angular momentum collapsing to
Kerr-AdS. We calculate thermalization time for two point correlation functions.
It happens that in the 3-dimensional case the thermalization time is just
proportional to the distance between points where the correlator is evaluated.
This is a very surprising and rather unexpected generalization of the same
relation in the case of zero momentum.Comment: 17 pages, 8 figures, uses jheppub.sty; v2: refs. added, matches the
  version accepted for publication in JHE
N=1 extension of minimal model holography

The CFT dual of the higher spin theory with minimal N = 1 spectrum is
determined. Unlike previous examples of minimal model holography, there is no
free parameter beyond the central charge, and the CFT can be described in terms
of a non-diagonal modular invariant of the bosonic theory at the special value
of the 't Hooft parameter lambda=1/2. As evidence in favour of the duality we
show that the symmetry algebras as well as the partition functions agree
between the two descriptions.Comment: 28 page
Categories of Massless D-Branes and del Pezzo Surfaces

In analogy with the physical concept of a massless D-brane, we define a
notion of "Q-masslessness" for objects in the derived category. This is defined
in terms of monodromy around singularities in the stringy Kahler moduli space
and is relatively easy to study using spherical functors. We consider several
examples in which del Pezzo surfaces and other rational surfaces in Calabi-Yau
threefolds are contracted. For precisely the del Pezzo surfaces that can be
written as hypersurfaces in weighted P3, the category of Q-massless objects is
a "fractional Calabi-Yau" category of graded matrix factorizations.Comment: LaTeX, 40 pages, refs adde
Top-Quark Charge Asymmetry Goes Forward: Two New Observables for Hadron
  Colliders

We propose two new observables to measure the charge asymmetry in hadronic
top-quark pair production in association with a hard jet. The incline
asymmetry, based on the inclination between the planes of initial- and
final-state momenta, probes the charge asymmetry in the quark-antiquark
channel. Compared to the hitherto investigated rapidity asymmetries, the
incline asymmetry provides improved access to the partonic charge asymmetry at
both the Tevatron and the LHC. The energy asymmetry, based on the energy
difference between top and antitop quarks, for the first time allows us to
probe the charge asymmetry in the quark-gluon channel at the LHC. In quantum
chromodynamics, asymmetries of up to -12% at the leading order are achievable
with appropriate cuts. Top-pair plus jet production thus has the potential to
become the discovery channel of the charge asymmetry in proton-proton
collisions.Comment: 32 pages, 12 figures, 5 table
IIB supergravity on manifolds with SU(4) structure and generalized
  geometry

We consider N=(2,0) backgrounds of IIB supergravity on eight-manifolds M_8
with strict SU(4) structure. We give the explicit solution to the Killing
spinor equations as a set of algebraic relations between irreducible su(4)
modules of the fluxes and the torsion classes of M_8. One consequence of
supersymmetry is that M_8 must be complex. We show that the conjecture of
arxiv:1010.5789 concerning the correspondence between background supersymmetry
equations in terms of generalized pure spinors and generalized calibrations for
admissible static, magnetic D-branes, does not capture the full set of
supersymmetry equations. We identify the missing constraints and express them
in the form of a single pure-spinor equation which is well defined for generic
SU(4)\times SU(4) backgrounds. This additional equation is given in terms of a
certain analytic continuation of the generalized calibration form for
codimension-2 static, magnetic D-branes.Comment: 23 pages. V2: added references, including to spinorial geometr
Note on generalized gravitational entropy in Lovelock gravity

The recently proposed gravitational entropy generalize the usual black hole
entropy to Euclidean solutions without U(1) symmetry in the framework of
Einstein gravity. The entropy of such smooth configuration is given by the area
of minimal surface, therefore explaining the Ryu-Takayanagi formula of
holographic entanglement entropy. In this note we investigate the generalized
gravitational entropy for general Lovelock gravity in arbitrary dimensions. We
use the replica trick and consider the Euclidean bulk spacetime with conical
singularity localized at a codimension two surface. We obtain a constraint
equation for the surface by requiring the bulk equation of motion to be of good
behavior. When the bulk spacetime is maximally symmetric, the constraints show
that the traces of the extrinsic curvatures of the surface are vanishing, i.e.
the surface has to be geometrically a minimal surface. However the constraint
equation cannot be obtained by the variation of the known functional for
holographic entanglement entropy in Lovelock gravity.Comment: V1,18 pages; V2, 21 pages, more investigations on the difference
  between constraint equations, conclusion unchanged; V3, 22 pages, published
  versio
A Calculus for Higher Spin Interactions

Higher spin theories can be efficiently described in terms of auxiliary
St\"uckelberg or projective space field multiplets. By considering how higher
spin models couple to scale, these approaches can be unified in a conformal
geometry/tractor calculus framework. We review these methods and apply them to
higher spin vertices to obtain a generating function for massless, massive and
partially massless three-point interactions.Comment: 24 pages, 3 figures, LaTex. References added, typos corrected. Final
  version to appear in JHE
Dynamics of wave fluctuations in the homogeneous Yang-Mills condensate

In the present work, the Yang-Mills (YM) quantum-wave excitations of the classical homogeneous YM condensate have been studied in quasi-classical approximation. The formalism is initially formulated in the Hamilton gauge and is based upon canonical quantisation in the Heisenberg representation. This canonical framework is then extended and related to YM dynamics in arbitrary gauge and symmetry group containing at least one SU(2) subgroup. Such generic properties of the interacting YM system as excitation of longitudinal wave modes and energy balance between the evolving YM condensate and waves have been established. In order to prove these findings, the canonical quasi-classical YM system “waves + condensate” in the pure simplest SU(2) gauge theory has been thoroughly analysed numerically in the linear and next-to-linear approximations in the limit of small wave amplitudes. The effective gluon mass dynamically generated by wave self-interactions in the gluon plasma has been derived. A complete set of equations of motion for the YM “condensate + waves” system accounting for second- and third-order interactions between the waves has been obtained. In the next-to-linear approximation in waves we have found that due to interactions between the YM waves and the YM condensate, the latter looses its energy leading to the growth of amplitudes of the YM wave modes. A similar effect has been found in the maximally-supersymmetric N $$ \mathcal{N} $$ = 4 Yang-Mills theory as well as in two-condensate SU(4) model. Possible implications of these findings to Cosmology and gluon plasma physics have been discussed
Deformed twistors and higher spin conformal (super-)algebras in six dimensions

Massless conformal scalar field in six dimensions corresponds to the minimal unitary representation (minrep) of the conformal group SO(6, 2). This minrep admits a family of “deformations” labelled by the spin t of an SU(2) T group, which is the 6 d analog of helicity in four dimensions. These deformations of the minrep of SO(6 , 2) describe massless conformal fields that are symmetric tensors in the spinorial representation of the 6 d Lorentz group. The minrep and its deformations were obtained by quantization of the nonlinear realization of SO(6 , 2) as a quasiconformal group in arXiv:1005.3580 . We give a novel reformulation of the generators of SO(6 , 2) for these representations as bilinears of deformed twistorial oscillators which transform nonlinearly under the Lorentz group SO(5 , 1) and apply them to define higher spin algebras and superalgebras in AdS 7 . The higher spin (HS) algebra of Fradkin-Vasiliev type in AdS 7 is simply the enveloping algebra of SO(6 , 2) quotiented by a two-sided ideal (Joseph ideal) which annihilates the minrep. We show that the Joseph ideal vanishes identically for the quasiconformal realization of the minrep and its enveloping algebra leads directly to the HS algebra in AdS 7 . Furthermore, the enveloping algebras of the deformations of the minrep define a discrete infinite family of HS algebras in AdS 7 for which certain 6 d Lorentz covariant deformations of the Joseph ideal vanish identically. These results extend to superconformal algebras OSp(8 * |2 N ) and we find a discrete infinite family of HS superalgebras as enveloping algebras of the minimal unitary supermultiplet and its deformations. Our results suggest the existence of a discrete family of (supersymmetric) HS theories in AdS 7 which are dual to free (super)conformal field theories (CFTs) or to interacting but integrable (supersymmetric) CFTs in 6 d
Modular interpolating functions for N=4 SYM

We construct interpolating functions fully compatible with S-duality. We then
consider the problem of resumming perturbative expansions for anomalous
dimensions of low twist non-protected operators in N=4 super Yang-Mills theory.
When the rank of the gauge group is small, the interpolations suggest that
anomalous dimensions of leading twist operators take their maximum value at the
point $\tau =\exp(i\pi/3)$. For fixed spin and large enough rank, there is a
level-crossing region, where the anomalous dimension of the leading twist
operator reaches its maximum and then bounces back.Comment: 13 pages, 5 figures; v2: comments adde
Indirect Detection Signatures for the Origin of Asymmetric Dark Matter

We study the decay signatures of Asymmetric Dark Matter (ADM) via higher
dimension operators which are responsible for generating the primordial dark
matter (DM) asymmetry. Since the signatures are sensitive both to the nature of
the higher dimension operator generating the DM asymmetry and to the sign of
the baryon or lepton number that the DM carries, indirect detection may provide
a window into the nature of the mechanism which generates the DM asymmetry. We
consider in particular dimension-6 fermionic operators of the form ${\cal
O}_{ADM} = X {\cal O}_{B-L}/M^2$, where ${\cal O}_{B-L} = u^c d^c d^c,~\ell
\ell e^c,~q \ell d^c$ (or operators related through a Hermitian conjugate) with
the scale $M$ around or just below the GUT scale. We derive constraints on ADM
particles both in the natural mass range (around a few GeV), as well as in the
range between 100 GeV to 10 TeV. For light ADM, we focus on constraints from
both the low energy gamma ray data and proton/anti-proton fluxes. For heavy
ADM, we consider $\gamma$-rays and proton/anti-proton fluxes, and we fit
$e^+/e^-$ data from AMS-02 and H.E.S.S. (neglecting the Fermi charged particle
fluxes which disagree with AMS-02 below 100 GeV). We show that, although the
best fit regions from electron/positron measurement are still in tension with
other channels on account of the H.E.S.S. measurement at high energies,
compared to an ordinary symmetric dark matter scenario, the decay of DM with a
primordial asymmetry reduces the tension. Better measurement of the flux at
high energy will be necessary to draw a definite conclusion about the viability
of decaying DM as source for the signals.Comment: Constraint from H.E.S.S. for heavy ADM scenario is included.
  Constraint from anti-proton flux for light ADM scenario is included. Matched
  to the version of publicatio
Enhancing the ttH signal through top-quark spin polarization effects at
  the LHC

We compare the impact of top-quark spin polarization effects in Higgs boson
production in association with top-quark pairs and in corresponding backgrounds
at the LHC. Because of the spin-zero nature of the Higgs boson, one expects, in
the chiral limit for the top quarks, a substantial complementarity in $t\bar t$
spin correlations for a Higgs decaying into fermions/gauge-bosons and
$t\bar{t}$ spin correlations for the corresponding irreducible $t\bar t f\bar
f/VV$ backgrounds. Although top mass effects in $t\bar t H$ production are in
general dominant, and seriously spoil the chiral-limit expectations, one can
find observables that capture the $t \bar t$ angular spin correlations and can
help in separating the signal from irreducible backgrounds. In particular, we
show that, for both $H\to b\bar b$ and $H\to \gamma\gamma$, taking into account
$t\bar{t}$ spin correlations in $t\bar t H$ production and irreducible
backgrounds could appreciably improve the LHC sensitivity to the $t\bar t H$
channel.Comment: 18 pages, 9 figures; implementation of cuts corrected in figures 7-
Heterotic flux backgrounds and their IIA duals

We study four-dimensional heterotic flux vacua with N = 2 spacetime supersymmetry. A worldsheet perspective is used to clarify quantization conditions associated to the fluxes and the constraints these place on the moduli spaces of resulting compactifications. We propose that these vacua fit naturally in the context of heterotic/IIA duality as heterotic duals to compactifications on K3-fibered but not elliptically fibered Calabi-Yau three-folds. We present some examples of such potential dual pairs
Conformal blocks of W_N Minimal Models and AGT correspondence

We study the AGT correspondence between four-dimensional supersymmetric gauge
field theory and two-dimensional conformal field theories in the context of W_N
minimal models. The origin of the AGT correspondence is in a special integrable
structure which appears in the properly extended conformal theory. One of the
basic manifestations of this integrability is the special orthogonal basis
which arises in the extended theory. We propose modification of the AGT
representation for the W_N conformal blocks in the minimal models. The
necessary modification is related to the reduction of the orthogonal basis.
This leads to the explicit combinatorial representation for the conformal
blocks of minimal models and employs the sum over N-tupels of Young diagrams
with additional restrictions.Comment: 16 pages; v2: typos removed, more comments, references added; v3:
  minor corrections, references added, JHEP versio
Affine SU( N ) algebra from wall-crossings

We study the relation between the instanton counting on ALE spaces and the BPS state counting on a toric Calabi-Yau three-fold. We put a single D4-brane on a divisor isomorphic to A N −1 -ALE space in the Calabi-Yau three-fold, and evaluate the discrete changes of BPS partition function of D4-D2-D0 states in the wall-crossing phenomena. In particular, we find that the character of affine SU( N ) algebra naturally arises in wall-crossings of D4-D2-D0 states. Our analysis is completely based on the wall-crossing formula for the d = 4, N $$ \mathcal{N} $$ = 2 supersymmetric theory obtained by dimensionally reducing the Calabi-Yau three-fold
Algebroids, heterotic moduli spaces and the Strominger system

In this paper we study compactifications of heterotic string theory on manifolds satisfying the ∂ ∂ ¯ $$ \partial \overline{\partial} $$ -lemma. We consider the Strominger system description of the low energy supergravity to first order in α ′ and show that the moduli of such compactifications are subspaces of familiar cohomology groups such as H 1 ( TX ), H 1 ( TX ∨ ), H 1 (End 0 ( V )) and H 1 (End 0 ( TX )). These groups encode the complex structure, Kähler moduli, bundle moduli and perturbations of the spin connection respectively in the case of a Calabi-Yau compactification. We investigate the fluctuations of only a subset of the conditions of the Strominger system (expected to correspond physically to F-term constraints in the effective theory). The full physical moduli space is, therefore, given by a further restriction on these degrees of freedom which we discuss but do not explicitly provide. This paper is complementary to a previous tree-level worldsheet analysis of such moduli and agrees with that discussion in the limit of vanishing α ′. The structure we present can be interpreted in terms of recent work in Atiyah and Courant algebroids, and we conjecture links with aspects of Hitchin’s generalized geometry to heterotic moduli
Adinkra `Color' Confinement In Exemplary Off-Shell Constructions Of 4D,
  ${\cal N}$ = 2 Supersymmetry Representations

Evidence is presented in some examples that an adinkra quantum number,
$\chi_{\rm o}$ (arXiv:\ 0902.3830 [hep-th]), seems to play a role with regard
to off-shell 4D, $\cal N$ = 2 SUSY similar to the role of color in QCD. The
vanishing of this adinkra quantum number appears to be a condition required for
when two off-shell 4D, $\cal N$ = 1 supermultiplets form an off-shell 4D, $\cal
N$ = 2 supermultiplet. We also explicitly comment on a deformation of the Lie
bracket and anti-commutator operators that has been extensively and implicitly
used in our work on "Garden Algebras" adinkras, and codes.Comment: 37 page
Supersymmetric backgrounds from 5d N=1 supergravity

We construct curved backgrounds with Euclidean signature admitting rigid
supersymmetry by using a 5d N=1 off-shell Poincare supergravity. We solve the
conditions for the background Weyl multiplet and vector multiplets that
preserve at least one supersymmetry parameterized by a symplectic Majorana
spinor, and represent the solution in terms of several independent fields. We
also show that the partition function does not depends on the local degrees of
freedom of the background fields. Namely, as far as we focus on a single
coordinate patch, we can freely change the independent fields by combining
Q-exact deformations and gauge transformations. We also discuss realization of
several known examples of supersymmetric theories in curved backgrounds by
using the supergravity.Comment: 31 pages, no figures; v2: references adde