pinecone/core-2020-05-10-deduplication huggingface dataset:
State-space Manifold and Rotating Black Holes

We study a class of fluctuating higher dimensional black hole configurations
obtained in string theory/ $M$-theory compactifications. We explore the
intrinsic Riemannian geometric nature of Gaussian fluctuations arising from the
Hessian of the coarse graining entropy, defined over an ensemble of brane
microstates. It has been shown that the state-space geometry spanned by the set
of invariant parameters is non-degenerate, regular and has a negative scalar
curvature for the rotating Myers-Perry black holes, Kaluza-Klein black holes,
supersymmetric $AdS_5$ black holes, $D_1$-$D_5$ configurations and the
associated BMPV black holes. Interestingly, these solutions demonstrate that
the principal components of the state-space metric tensor admit a positive
definite form, while the off diagonal components do not. Furthermore, the ratio
of diagonal components weakens relatively faster than the off diagonal
components, and thus they swiftly come into an equilibrium statistical
configuration. Novel aspects of the scaling property suggest that the
brane-brane statistical pair correlation functions divulge an asymmetric
nature, in comparison with the others. This approach indicates that all above
configurations are effectively attractive and stable, on an arbitrary
hyper-surface of the state-space manifolds. It is nevertheless noticed that
there exists an intriguing relationship between non-ideal inter-brane
statistical interactions and phase transitions. The ramifications thus
described are consistent with the existing picture of the microscopic CFTs. We
conclude with an extended discussion of the implications of this work for the
physics of black holes in string theory.Comment: 44 pages, Keywords: Rotating Black Holes; State-space Geometry;
  Statistical Configurations, String Theory, M-Theory. PACS numbers: 04.70.-s
  Physics of black holes; 04.70.Bw Classical black holes; 04.70.Dy Quantum
  aspects of black holes, evaporation, thermodynamics; 04.50.Gh
  Higher-dimensional black holes, black strings, and related objects. Edited
  the bibliograph
Low-energy effective actions in three-dimensional extended SYM theories

We develop the background field method in the N=2, d=3 superspace for
studying effective actions in three-dimensional SYM models which live in the
world-volume of various 2-branes. In particular, the low-energy effective
action for the N=2 quiver gauge theory with four chiral superfields in the
bifundamental representation is studied. This gauge theory describes the D2
brane probing the conifold singularity. Surprisingly, the leading terms in this
effective action reproduce the classical action of the Abelian ABJM theory
confirming the fact that the M2 brane can be considered as the effective theory
for the D2 brane at strong coupling. Apart from this N=2 quiver gauge theory we
study the low-energy effective action in pure N=2, N=4 and N=8 SYM theories
with gauge group SU(N) spontaneously broken down to an Abelian subgroup. In
particular, for the N=4 SYM we find similar correspondence between the leading
terms in its effective action and the classical action of the Abelian
Gaiotto-Witten theory.Comment: 1+39 pages; v2: misprints corrected, references adde
First order parent formulation for generic gauge field theories

We show how a generic gauge field theory described by a BRST differential can
systematically be reformulated as a first order parent system whose spacetime
part is determined by the de Rham differential. In the spirit of Vasiliev's
unfolded approach, this is done by extending the original space of fields so as
to include their derivatives as new independent fields together with associated
form fields. Through the inclusion of the antifield dependent part of the BRST
differential, the parent formulation can be used both for on and off-shell
formulations. For diffeomorphism invariant models, the parent formulation can
be reformulated as an AKSZ-type sigma model. Several examples, such as the
relativistic particle, parametrized theories, Yang-Mills theory, general
relativity and the two dimensional sigma model are worked out in details.Comment: 36 pages, additional sections and minor correction
Measurements of neutral vector resonance in Higgsless models at the LHC

In Higgsless models, new vector resonances appear to restore the unitarity of
the W_L W_L scattering amplitude without the Higgs boson. In the ideal
delocalized three site Higgsless model, one of large prodcution cross section
of the neutral vector resonance (Z') at the Large Hadron Collider is the
W-associated production, pp \to Z'W \to WWW. Although the dileptonic decay
channnel, l\nu l'\nu 'jj, is experimentally clean to search for the Z' signals,
it is difficult to reconstruct the Z' invariant mass due to the two neutrinos
in the final state. We study collider signatures of Z' using the
M_{T2}-Assisted On-Shell (MAOS) reconstruction of the missing neutrino momenta.
We show the prospect of the Z' mass determination in the channel, l\nu l'\nu
'jj, at the Large Hadron Collider.Comment: 16 pages, 6 figures, 5 tables; v2: references added, minor
  corrections, version published in JHE
Holographic c-theorems in arbitrary dimensions

We re-examine holographic versions of the c-theorem and entanglement entropy
in the context of higher curvature gravity and the AdS/CFT correspondence. We
select the gravity theories by tuning the gravitational couplings to eliminate
non-unitary operators in the boundary theory and demonstrate that all of these
theories obey a holographic c-theorem. In cases where the dual CFT is
even-dimensional, we show that the quantity that flows is the central charge
associated with the A-type trace anomaly. Here, unlike in conventional
holographic constructions with Einstein gravity, we are able to distinguish
this quantity from other central charges or the leading coefficient in the
entropy density of a thermal bath. In general, we are also able to identify
this quantity with the coefficient of a universal contribution to the
entanglement entropy in a particular construction. Our results suggest that
these coefficients appearing in entanglement entropy play the role of central
charges in odd-dimensional CFT's. We conjecture a new c-theorem on the space of
odd-dimensional field theories, which extends Cardy's proposal for even
dimensions. Beyond holography, we were able to show that for any
even-dimensional CFT, the universal coefficient appearing the entanglement
entropy which we calculate is precisely the A-type central charge.Comment: 62 pages, 4 figures, few typo's correcte
Gross-Neveu Models, Nonlinear Dirac Equations, Surfaces and Strings

Recent studies of the thermodynamic phase diagrams of the Gross-Neveu model
(GN2), and its chiral cousin, the NJL2 model, have shown that there are phases
with inhomogeneous crystalline condensates. These (static) condensates can be
found analytically because the relevant Hartree-Fock and gap equations can be
reduced to the nonlinear Schr\"odinger equation, whose deformations are
governed by the mKdV and AKNS integrable hierarchies, respectively. Recently,
Thies et al have shown that time-dependent Hartree-Fock solutions describing
baryon scattering in the massless GN2 model satisfy the Sinh-Gordon equation,
and can be mapped directly to classical string solutions in AdS3. Here we
propose a geometric perspective for this result, based on the generalized
Weierstrass spinor representation for the embedding of 2d surfaces into 3d
spaces, which explains why these well-known integrable systems underlie these
various Gross-Neveu gap equations, and why there should be a connection to
classical string theory solutions. This geometric viewpoint may be useful for
higher dimensional models, where the relevant integrable hierarchies include
the Davey-Stewartson and Novikov-Veselov systems.Comment: 27 pages, 1 figur
Quantum dispersion relations for excitations of long folded spinning
  superstring in AdS_5 x S^5

We use AdS_5 x S^5 superstring sigma model perturbation theory to compute the
leading one-loop corrections to the dispersion relations of the excitations
near a long spinning string in AdS. This investigation is partially motivated
by the OPE-based approach to the computation of the expectation value of null
polygonal Wilson loops suggested in arXiv:1006.2788. Our results are in partial
agreement with the recent asymptotic Bethe ansatz computation in
arXiv:1010.5237. In particular, we find that the heaviest AdS mode (absent in
the ABA approach) is stable and has a corrected one-loop dispersion relation
similar to the other massive modes. Its stability might hold also at the
next-to-leading order as we suggest using a unitarity-based argument.Comment: 22 pages, 3 figures. v3: small corrections and a comment added in
  sec. 4.
On Black Attractors in 8D and Heterotic/Type IIA Duality

Motivated by the study of black attractors in 8D supergravity with 16
supersymmetries, we use the field theory approach and 8D supersymmetry with non
trivial central charges to shed light on the exact duality between heterotic
string on T^2 and type IIA on real connected and compact surfaces {\Sigma}2. We
investigate the two constraints that should be obeyed by {\Sigma}2 and give
their solutions in terms of intersecting 2-cycles as well their classification
using Dynkin diagrams of affine Kac-Moody algebras. It is shown as well that
the moduli space of these dual theories is given by
SO(1,1)x((SO(2,r+2))/(SO(2)xSO(r+2))) where r stands for the rank of the gauge
symmetry G_{r} of the 10D heterotic string on T^2. The remarkable cases
r=-2,-1,0 as well as other features are also investigated.Comment: LaTex, 18 pages, 2 figures, To appear in JHE
Adiabaticity and emergence of classical space-time in time-dependent
  matrix theories

We discuss the low-curvature regime of time-dependent matrix theories
proposed to describe non-perturbative quantum gravity in asymptotically
plane-wave space-times. The emergence of near-classical space-time in this
limit turns out to be closely linked to the adiabaticity of the matrix theory
evolution. Supersymmetry restoration at low curvatures, which is crucial for
the usual space-time interpretation of matrix theories, becomes an obvious
feature of the adiabatic regime.Comment: 18 pages; v2: disclaimers and references added, version for
  publicatio
Testing the Nambu-Goldstone Hypothesis for Quarks and Leptons at the LHC

The hierarchy of the Yukawa couplings is an outstanding problem of the
standard model. We present a class of models in which the first and second
generation fermions are SUSY partners of pseudo-Nambu-Goldstone bosons that
parameterize a non-compact Kahler manifold, explaining the small values of
these fermion masses relative to those of the third generation. We also provide
an example of such a model. We find that various regions of the parameter space
in this scenario can give the correct dark matter abundance, and that nearly
all of these regions evade other phenomenological constraints. We show that for
gluino mass ~700 GeV, model points from these regions can be easily
distinguished from other mSUGRA points at the LHC with only 7 fb^(-1) of
integrated luminosity at 14 TeV. The most striking signatures are a dearth of
b- and tau-jets, a great number of multi-lepton events, and either an
"inverted" slepton mass hierarchy, narrowed slepton mass hierarchy, or
characteristic small-mu spectrum.Comment: Corresponds to published versio
Composite Dirac Neutrinos

We present a mechanism that naturally produces light Dirac neutrinos. The
basic idea is that the right-handed neutrinos are composite. Any realistic
composite model must involve `hidden flavor' chiral symmetries. In general some
of these symmetries may survive confinement, and in particular, one of them
manifests itself at low energy as an exact $B-L$ symmetry. Dirac neutrinos are
therefore produced. The neutrinos are naturally light due to compositeness. In
general, sterile states are present in the model, some of them can naturally be
warm dark matter candidates.Comment: 12 pages; Sec. IIC updated; minor corrections; published versio
Phase transitions and critical behavior of black branes in canonical
  ensemble

We study the thermodynamics and phase structure of asymptotically flat
non-dilatonic as well as dilatonic black branes in a cavity in arbitrary
dimensions ($D$). We consider the canonical ensemble and so the charge inside
the cavity and the temperature at the wall are fixed. We analyze the stability
of the black brane equilibrium states and derive the phase structures. For the
zero charge case we find an analog of Hawking-Page phase transition for these
black branes in arbitrary dimensions. When the charge is non-zero, we find that
below a critical value of the charge, the phase diagram has a line of
first-order phase transition in a certain range of temperatures which ends up
at a second order phase transition point (critical point) as the charge attains
the critical value. We calculate the critical exponents at that critical point.
Although our discussion is mainly concerned with the non-dilatonic branes, we
show how it easily carries over to the dilatonic branes as well.Comment: 37 pages, 6 figures, the validity of using the effective action
  discussed, references adde
Form Factors in N=4 Super Yang-Mills and Periodic Wilson Loops

We calculate form factors of half-BPS operators in N=4 super Yang-Mills
theory at tree level and one loop using novel applications of recursion
relations and unitarity. In particular, we determine the expression of the
one-loop form factors with two scalars and an arbitrary number of
positive-helicity gluons. These quantities resemble closely the MHV scattering
amplitudes, including holomorphicity of the tree-level form factor, and the
expansion in terms of two-mass easy box functions of the one-loop result. Next,
we compare our result for these form factors to the calculation of a particular
periodic Wilson loop at one loop, finding agreement. This suggests a novel
duality relating form factors to periodic Wilson loops.Comment: 26 pages, 10 figures. v2: typos fixed, comments adde
Exact Results and Holography of Wilson Loops in N=2 Superconformal
  (Quiver) Gauge Theories

Using localization, matrix model and saddle-point techniques, we determine
exact behavior of circular Wilson loop in N=2 superconformal (quiver) gauge
theories. Focusing at planar and large `t Hooft couling limits, we compare its
asymptotic behavior with well-known exponential growth of Wilson loop in N=4
super Yang-Mills theory. For theory with gauge group SU(N) coupled to 2N
fundamental hypermultiplets, we find that Wilson loop exhibits non-exponential
growth -- at most, it can grow a power of `t Hooft coupling. For theory with
gauge group SU(N) x SU(N) and bifundamental hypermultiplets, there are two
Wilson loops associated with two gauge groups. We find Wilson loop in untwisted
sector grows exponentially large as in N=4 super Yang-Mills theory. We then
find Wilson loop in twisted sector exhibits non-analytic behavior with respect
to difference of two `t Hooft coupling constants. By letting one gauge coupling
constant hierarchically larger/smaller than the other, we show that Wilson
loops in the second type theory interpolate to Wilson loop in the first type
theory. We infer implications of these findings from holographic dual
description in terms of minimal surface of dual string worldsheet. We suggest
intuitive interpretation that in both type theories holographic dual background
must involve string scale geometry even at planar and large `t Hooft coupling
limit and that new results found in the gauge theory side are attributable to
worldsheet instantons and infinite resummation therein. Our interpretation also
indicate that holographic dual of these gauge theories is provided by certain
non-critical string theories.Comment: 52 pages, 7 figures v2. more figures embedded v3. minor stylistic
  changes, v4. published versio
Dual Conformal Properties of Six-Dimensional Maximal Super Yang-Mills
  Amplitudes

We demonstrate that the tree-level amplitudes of maximal super-Yang-Mills
theory in six dimensions, when stripped of their overall momentum and
supermomentum delta functions, are covariant with respect to the
six-dimensional dual conformal group. Using the generalized unitarity method,
we demonstrate that this property is also present for loop amplitudes. Since
the six-dimensional amplitudes can be interpreted as massive four-dimensional
ones, this implies that the six-dimensional symmetry is also present in the
massively regulated four-dimensional maximal super-Yang-Mills amplitudes.Comment: 20 pages, 3 figures, minor clarification, references update
Next-to-eikonal corrections to soft gluon radiation: a diagrammatic
  approach

We consider the problem of soft gluon resummation for gauge theory amplitudes
and cross sections, at next-to-eikonal order, using a Feynman diagram approach.
At the amplitude level, we prove exponentiation for the set of factorizable
contributions, and construct effective Feynman rules which can be used to
compute next-to-eikonal emissions directly in the logarithm of the amplitude,
finding agreement with earlier results obtained using path-integral methods.
For cross sections, we also consider sub-eikonal corrections to the phase space
for multiple soft-gluon emissions, which contribute to next-to-eikonal
logarithms. To clarify the discussion, we examine a class of log(1 - x) terms
in the Drell-Yan cross-section up to two loops. Our results are the first steps
towards a systematic generalization of threshold resummations to
next-to-leading power in the threshold expansion.Comment: 66 pages, 19 figure
Higgs boson mass bounds in the presence of a very heavy fourth quark
  generation

We study the effect of a potential fourth quark generation on the upper and
lower Higgs boson mass bounds. This investigation is based on the numerical
evaluation of a chirally invariant lattice Higgs-Yukawa model emulating the
same Higgs-fermion coupling structure as in the Higgs sector of the electroweak
Standard Model. In particular, the considered model obeys a Ginsparg-Wilson
version of the underlying ${SU}(2)_L\times {U}(1)_Y$ symmetry, being a global
symmetry here due to the neglection of gauge fields in this model. We present
our results on the modification of the upper and lower Higgs boson mass bounds
induced by the presence of a hypothetical very heavy fourth quark doublet.
Finally, we compare these findings to the standard scenario of three fermion
generations.Comment: 9 pages, 3 figure
Degenerate Stars and Gravitational Collapse in AdS/CFT

We construct composite CFT operators from a large number of fermionic primary
fields corresponding to states that are holographically dual to a zero
temperature Fermi gas in AdS space. We identify a large N regime in which the
fermions behave as free particles. In the hydrodynamic limit the Fermi gas
forms a degenerate star with a radius determined by the Fermi level, and a mass
and angular momentum that exactly matches the boundary calculations. Next we
consider an interacting regime, and calculate the effect of the gravitational
back-reaction on the radius and the mass of the star using the
Tolman-Oppenheimer-Volkoff equations. Ignoring other interactions, we determine
the "Chandrasekhar limit" beyond which the degenerate star (presumably)
undergoes gravitational collapse towards a black hole. This is interpreted on
the boundary as a high density phase transition from a cold baryonic phase to a
hot deconfined phase.Comment: 75 page
Off-shell superconformal nonlinear sigma-models in three dimensions

We develop superspace techniques to construct general off-shell N=1,2,3,4
superconformal sigma-models in three space-time dimensions. The most general
N=3 and N=4 superconformal sigma-models are constructed in terms of N=2 chiral
superfields. Several superspace proofs of the folklore statement that N=3
supersymmetry implies N=4 are presented both in the on-shell and off-shell
settings. We also elaborate on (super)twistor realisations for (super)manifolds
on which the three-dimensional N-extended superconformal groups act
transitively and which include Minkowski space as a subspace.Comment: 67 pages; V2: typos corrected, one reference added, version to appear
  on JHE
Rephasing invariance and neutrino mixing

A rephasing invariant parametrization is introduced for three flavor neutrino
mixing. For neutrino propagation in matter, these parameters are shown to obey
evolution equations as functions of the induced neutrino mass. These equations
are found to preserve (approximately) some characteristic features of the
mixing matrix, resulting in solutions which exhibit striking patterns as the
induced mass varies. The approximate solutions are compared to numerical
integrations and found to be quite accurate.Comment: 18 pages, 6 figure
Sum Rules from an Extra Dimension

Using the gravity side of the AdS/CFT correspondence, we investigate the
analytic properties of thermal retarded Green's functions for scalars,
conserved currents, the stress tensor, and massless fermions. We provide some
results concerning their large and small frequency behavior and their pole
structure. From these results, it is straightforward to prove the validity of
various sum rules on the field theory side of the duality. We introduce a novel
contraction mapping we use to study the large frequency behavior of the Green's
functions.Comment: v2: 23 pages (plus appendix), revised presentation, discussion of
  branch cuts moved to appendix, and some minor changes; v1: 24 pages (plus
  appendix
Non-linear, Finite Frequency Quantum Critical Transport from AdS/CFT

Transport at a quantum critical point depends sensitively on the relative
magnitudes of temperature, frequency and electric field. Here we used the
gauge/gravity correspondence to compute the full temperature and, generally
nonlinear, electric field dependence of the electrical conductivity for some
model critical theories. In the special case of 2+1 dimensions we are also able
to find the full time-dependent response of the system to an arbitrary time
dependent external electric field. The response of the system is instantaneous,
implying a frequency independent conductivity. We describe a mechanism that
rationalizes the instantaneous response.Comment: 16 pages; v2: minor typos fixed and ref added; v3: typo fixed and
  discussion of S-duality clarified and expande
G-structures and Domain Walls in Heterotic Theories

We consider heterotic string solutions based on a warped product of a
four-dimensional domain wall and a six-dimensional internal manifold,
preserving two supercharges. The constraints on the internal manifolds with
SU(3) structure are derived. They are found to be generalized half-flat
manifolds with a particular pattern of torsion classes and they include
half-flat manifolds and Strominger's complex non-Kahler manifolds as special
cases. We also verify that previous heterotic compactifications on half-flat
mirror manifolds are based on this class of solutions.Comment: 29 pages, reference added, typos correcte
Monopoles and Holography

We present a holographic theory in AdS_4 whose zero temperature ground state
develops a crystal structure, spontaneously breaking translational symmetry.
The crystal is induced by a background magnetic field, but requires no chemical
potential. This lattice arises from the existence of 't Hooft-Polyakov monopole
solitons in the bulk which condense to form a classical object known as a
monopole wall. In the infra-red, the magnetic field is screened and there is an
emergent SU(2) global symmetry.Comment: 33 pages, 16 figures; v2: ref adde