pinecone/core-2020-05-10-deduplication huggingface dataset:
On correlation functions of operators dual to classical spinning string
  states

We explore how to compute, classically at strong coupling, correlation
functions of local operators corresponding to classical spinning string states.
The picture we obtain is of `fattened' Witten diagrams, the evaluation of which
turns out to be surprisingly subtle and requires a modification of the naive
classical action due to a necessary projection onto appropriate wave functions.
We examine string solutions which compute the simplest case of a two-point
function and reproduce the right scaling with the anomalous dimensions
corresponding to the energies of the associated spinning string solutions. We
also describe, under some simplifying assumptions, how the spacetime dependence
of a conformal three-point correlation function arises in this setup.Comment: 27 pages, 3 figures; v2: references and comments added
Exploring the mirror TBA

We apply the contour deformation trick to the Thermodynamic Bethe Ansatz
equations for the AdS_5 \times S^5 mirror model, and obtain the integral
equations determining the energy of two-particle excited states dual to N=4 SYM
operators from the sl(2) sector. We show that each state/operator is described
by its own set of TBA equations. Moreover, we provide evidence that for each
state there are infinitely-many critical values of 't Hooft coupling constant
\lambda, and the excited states integral equations have to be modified each
time one crosses one of those. In particular, estimation based on the large L
asymptotic solution gives \lambda \approx 774 for the first critical value
corresponding to the Konishi operator. Our results indicate that the related
calculations and conclusions of Gromov, Kazakov and Vieira should be
interpreted with caution. The phenomenon we discuss might potentially explain
the mismatch between their recent computation of the scaling dimension of the
Konishi operator and the one done by Roiban and Tseytlin by using the string
theory sigma model.Comment: 69 pages, v2: new "hybrid" equations for YQ-functions, figures and
  tables are added. Analyticity of Y-system is discussed, v3: published versio
SQM with Non-Abelian Self-Dual Fields: Harmonic Superspace Description

We present a Lagrangian formulation for N=4 supersymmetric quantum-mechanical
systems describing the motion in external non-Abelian self-dual gauge fields.
For any such system, one can write a component supersymmetric Lagrangian by
introducing extra bosonic variables with topological Chern-Simons type
interaction. For a special class of such system when the fields are expressed
in the `t Hooft ansatz form, it is possible to give a superfield description
using harmonic superspace formalism. As a new explicit example, the N=4
mechanics with Yang monopole is constructed.Comment: 15 pages, minor additions and changes; published versio
An SO(10) Grand Unified Theory of Flavor

We present a supersymmetric SO(10) grand unified theory (GUT) of flavor based
on an $S_4$ family symmetry. It makes use of our recent proposal to use SO(10)
with type II seesaw mechanism for neutrino masses combined with a simple ansatz
that the dominant Yukawa matrix (the {\bf 10}-Higgs coupling to matter) has
rank one. In this paper, we show how the rank one model can arise within some
plausible assumptions as an effective field theory from vectorlike {\bf 16}
dimensional matter fields with masses above the GUT scale. In order to obtain
the desired fermion flavor texture we use $S_4$ flavon multiplets which acquire
vevs in the ground state of the theory. By supplementing the $S_4$ theory with
an additional discrete symmetry, we find that the flavon vacuum field
alignments take a discrete set of values provided some of the higher
dimensional couplings are small. Choosing a particular set of these vacuum
alignments appears to lead to an unified understanding of observed quark-lepton
flavor:
  (i) the lepton mixing matrix that is dominantly tri-bi-maximal with small
corrections related to quark mixings; (ii) quark lepton mass relations at GUT
scale: $m_b\simeq m_{\tau}$ and $m_\mu\simeq 3 m_s$ and (iii) the solar to
atmospheric neutrino mass ratio $m_\odot/m_{\rm atm}\simeq \theta_{\rm
Cabibbo}$ in agreement with observations. The model predicts the neutrino
mixing parameter, $U_{e3} \simeq \theta_{\rm Cabibbo}/(3\sqrt2) \sim 0.05$,
which should be observable in planned long baseline experiments.Comment: Final version of the paper as it will appear in JHEP
The group structure of non-Abelian NS-NS transformations

We study the transformations of the worldvolume fields of a system of
multiple coinciding D-branes under gauge transformations of the supergravity
Kalb-Ramond field. We find that the pure gauge part of these NS-NS
transformations can be written as a U(N) symmetry of the underlying Yang-Mills
group, but that in general the full NS-NS variations get mixed up non-trivially
with the U(N). We compute the commutation relations and the Jacobi identities
of the bigger group formed by the NS-NS and U(N) transformations.Comment: Latex, 11 pages. v2: Typos corrected; version to appear in JHEP
Holographic aspects of three dimensional QCD from string theory

We study two aspects of 3D QCD with massless fermions in a holographic set-up
from string theory, based on D3/D7 branes; parity anomaly and baryons as baby
Skyrmions. We first give a novel account of parity anomaly of 3D QCD with odd
number of flavors from the IR holographic viewpoint by observing a subtle point
in D7 brane embeddings with a given fixed UV theory. We also discuss its UV
origin in terms of weakly coupled D-brane pictures. We then focus on the
parity-symmetric case of even number of N_F flavors, and study baryons in the
holographic model. We identify the monopoles of U(N_F) gauge theory dynamically
broken down to U(N_F/2)x U(N_F/2) in the holographic 4 dimensional bulk as a
holographic counter-part of 3D baby-Skyrmions for baryons in large N limit, and
work out some details how the mapping goes. In particular, we show that the
correct baryon charges emerge from the Witten effect with a space-varying theta
angle.Comment: 33 pages, 10 figures; v2: references added with comments, typos
  corrected; v3: more references added; v4: holographic baryon profile and the
  analysis of its baryon charge is significantly revised, correcting errors in
  the previous discussio
High Energy Bounds on Soft N=4 SYM Amplitudes from AdS/CFT

Using the AdS/CFT correspondence, we study the high-energy behavior of
colorless dipole elastic scattering amplitudes in N=4 SYM gauge theory through
the Wilson loop correlator formalism and Euclidean to Minkowskian analytic
continuation. The purely elastic behavior obtained at large impact-parameter L,
through duality from disconnected AdS_5 minimal surfaces beyond the
Gross-Ooguri transition point, is combined with unitarity and analyticity
constraints in the central region. In this way we obtain an absolute bound on
the high-energy behavior of the forward scattering amplitude due to the
graviton interaction between minimal surfaces in the bulk. The dominant
"Pomeron" intercept is bounded by alpha less than or equal to 11/7 using the
AdS/CFT constraint of a weak gravitational field in the bulk. Assuming the
elastic eikonal approximation in a larger impact-parameter range gives alpha
between 4/3 and 11/7. The actual intercept becomes 4/3 if one assumes the
elastic eikonal approximation within its maximally allowed range L larger than
exp{Y/3}, where Y is the total rapidity. Subleading AdS/CFT contributions at
large impact-parameter due to the other d=10 supergravity fields are obtained.
A divergence in the real part of the tachyonic KK scalar is cured by
analyticity but signals the need for a theoretical completion of the AdS/CFT
scheme.Comment: 25 pages, 3 eps figure
Quark Number Susceptibility with Finite Chemical Potential in
  Holographic QCD

We study the quark number susceptibility in holographic QCD with a finite
chemical potential or under an external magnetic field at finite temperature.
We first consider the quark number susceptibility with the chemical potential.
We observe that approaching the critical temperature from high temperature
regime, the quark number susceptibility divided by temperature square develops
a peak as we increase the chemical potential, which confirms recent lattice QCD
results. We discuss this behavior in connection with the existence of the
critical end point in the QCD phase diagram. We also consider the quark number
susceptibility under the external magnetic field. We predict that the quark
number susceptibility exhibits a blow-up behavior at low temperature as we
raise the value of the magnetic field. We finally spell out some limitations of
our study.Comment: 25 pages, 3 figures, published versio
A phenomenological study of 5d supersymmetry

Supersymmetry and extra dimension need not be mutually exclusive options of
physics for the TeV scale and beyond. In this paper, we envisage a
phenomenological scenario by embedding the 4d constrained minimal
supersymmetric standard model in a flat 5d $S_1 /Z_2$ orbifold, with the
inverse radius of compactification at the TeV scale. The gauge, Higgs and the
third generation matter multiplets are placed in the bulk. From a 4d
perspective, the bulk has N=2 supersymmetry which entails a special
non-renormalization theorem giving rise to a significant numerical impact on
the renormalization group running of various parameters. The brane
supersymmetry corresponds to N=1 which we assume to be broken in an unspecified
but phenomenologically acceptable way. Given this set-up, we study how the
gauge and Yukawa couplings and the N=1 brane supersymmetry breaking soft masses
run through the energy scale exciting the Kaluza-Klein states at regular
interval. We present our results by showing the allowed/disallowed zone in the
plane of the common scalar mass ($m_0$) and common gaugino mass ($M_{1/2}$).
Our plots are the first 5d versions of the often displayed 4d $m_0$--$M_{1/2}$
plots, and we provide reasons behind the differences between the 4d and 5d
plots.Comment: 22 pages, 6 figures; v2: typos settled, reference added, to appear in
  JHE
Holographic Conformal Window - A Bottom Up Approach

We propose a five-dimensional framework for modeling the background geometry
associated to ordinary Yang-Mills (YM) as well as to nonsupersymmetric gauge
theories possessing an infrared fixed point with fermions in various
representations of the underlying gauge group. The model is based on the
improved holographic approach, on the string theory side, and on the
conjectured all-orders beta function for the gauge theory one. We first analyze
the YM gauge theory. We then investigate the effects of adding flavors and show
that, in the holographic description of the conformal window, the geometry
becomes AdS when approaching the ultraviolet and the infrared regimes. As the
number of flavors increases within the conformal window we observe that the
geometry becomes more and more of AdS type over the entire energy range.Comment: 20 Pages, 3 Figures. v2: references adde
Black Brane Viscosity and the Gregory-Laflamme Instability

We study long wavelength perturbations of neutral black p-branes in
asymptotically flat space and show that, as anticipated in the blackfold
approach, solutions of the relativistic hydrodynamic equations for an effective
p+1-dimensional fluid yield solutions to the vacuum Einstein equations in a
derivative expansion. Going beyond the perfect fluid approximation, we compute
the effective shear and bulk viscosities of the black brane. The values we
obtain saturate generic bounds. Sound waves in the effective fluid are
unstable, and have been previously related to the Gregory-Laflamme instability
of black p-branes. By including the damping effect of the viscosity in the
unstable sound waves, we obtain a remarkably good and simple approximation to
the dispersion relation of the Gregory-Laflamme modes, whose accuracy increases
with the number of transverse dimensions. We propose an exact limiting form as
the number of dimensions tends to infinity.Comment: 16 pages, 3 figures. v2: minor corrections and refs adde
General Split Helicity Gluon Tree Amplitudes in Open Twistor String
  Theory

We evaluate all split helicity gluon tree amplitudes in open twistor string
theory. We show that these amplitudes satisfy the BCFW recurrence relations
restricted to the split helicity case and, hence, that these amplitudes agree
with those of gauge theory. To do this we make a particular choice of the
sextic constraints in the link variables that determine the poles contributing
to the contour integral expression for the amplitudes. Using the residue
theorem to re-express this integral in terms of contributions from poles at
rational values of the link variables, which we determine, we evaluate the
amplitudes explicitly, regaining the gauge theory results of Britto et al.Comment: 30 pages, minor misprints correcte
N=1 Chern-Simons theories, orientifolds and Spin(7) cones

We construct three dimensional N=1 Chern-Simons theories living on M2 branes
probing Spin(7) cones. We consider Spin(7) manifolds obtained as quotients of
Calabi-Yau four-folds by an anti-holomorphic involution, following a
construction by Joyce. The corresponding Chern-Simons theories can be obtained
from N=2 theories by an orientifolding procedure. These theories are
holographically dual to M theory solutions AdS_4 \times H, where the weak G_2
manifold H is the base of the Spin(7) cone.Comment: 26 pages, 3 figures, reference added
No triangles on the moduli space of maximally supersymmetric gauge
  theory

Maximally supersymmetric gauge theory in four dimensions has a remarkably
simple S-matrix at the origin of its moduli space at both tree and loop level.
This leads to the question what, if any, of this structure survives at the
complement of this one point. Here this question is studied in detail at one
loop for the branch of the moduli space parameterized by a vacuum expectation
value for one complex scalar. Motivated by the parallel D-brane picture of
spontaneous symmetry breaking a simple relation is demonstrated between the
Lagrangian of broken super Yang-Mills theory and that of its higher dimensional
unbroken cousin. Using this relation it is proven both through an on- as well
as an off-shell method there are no so-called triangle coefficients in the
natural basis of one-loop functions at any finite point of the moduli space for
the theory under study. The off-shell method yields in addition absence of
rational terms in a class of theories on the Coulomb branch which includes the
special case of maximal supersymmetry. The results in this article provide
direct field theory evidence for a recently proposed exact dual conformal
symmetry motivated by the AdS/CFT correspondence.Comment: 39 pages, 4 figure
Cohomological Reduction of Sigma Models

This article studies some features of quantum field theories with internal
supersymmetry, focusing mainly on 2-dimensional non-linear sigma models which
take values in a coset superspace. It is discussed how BRST operators from the
target space supersymmetry algebra can be used to identify subsectors which are
often simpler than the original model and may allow for an explicit computation
of correlation functions. After an extensive discussion of the general
reduction scheme, we present a number of interesting examples, including
symmetric superspaces $G/G^{\mathbb{Z}_2}$ and coset superspaces of the form
$G/G^{\mathbb{Z}_4}$.Comment: 39 pages, 2 tables, 1 figur
MSSM in view of PAMELA and Fermi-LAT

We take the MSSM as a complete theory of low energy phenomena, including
neutrino masses and mixings. This immediately implies that the gravitino is the
only possible dark matter candidate. We study the implications of the
astrophysical experiments such as PAMELA and Fermi-LAT, on this scenario. The
theory can account for both the realistic neutrino masses and mixings, and the
PAMELA data as long as the slepton masses lie in the $500-10^6 $TeV range. The
squarks can be either light or heavy, depending on their contribution to
radiative neutrino masses. On the other hand, the Fermi-LAT data imply heavy
superpartners, all out of LHC reach, simply on the grounds of the energy scale
involved, for the gravitino must weigh more than 2 TeV. The perturbativity of
the theory also implies an upper bound on its mass, approximately $6-7 $TeV.Comment: Published version, figures update
Free particles from Brauer algebras in complex matrix models

The gauge invariant degrees of freedom of matrix models based on an N x N
complex matrix, with U(N) gauge symmetry, contain hidden free particle
structures. These are exhibited using triangular matrix variables via the Schur
decomposition. The Brauer algebra basis for complex matrix models developed
earlier is useful in projecting to a sector which matches the state counting of
N free fermions on a circle. The Brauer algebra projection is characterized by
the vanishing of a scale invariant laplacian constructed from the complex
matrix. The special case of N=2 is studied in detail: the ring of gauge
invariant functions as well as a ring of scale and gauge invariant differential
operators are characterized completely. The orthonormal basis of wavefunctions
in this special case is completely characterized by a set of five commuting
Hamiltonians, which display free particle structures. Applications to the
reduced matrix quantum mechanics coming from radial quantization in N=4 SYM are
described. We propose that the string dual of the complex matrix harmonic
oscillator quantum mechanics has an interpretation in terms of strings and
branes in 2+1 dimensions.Comment: 64 pages, v2: Exposition improved, minor corrections; v3: Typos
  corrected, published versio
Fermionic Operator Mixing in Holographic p-wave Superfluids

We use gauge-gravity duality to compute spectral functions of fermionic
operators in a strongly-coupled defect field theory in p-wave superfluid
states. The field theory is (3+1)-dimensional N=4 supersymmetric SU(Nc)
Yang-Mills theory, in the 't Hooft limit and with large coupling, coupled to
two massless flavors of (2+1)-dimensional N=4 supersymmetric matter. We show
that a sufficiently large chemical potential for a U(1) subgroup of the global
SU(2) isospin symmetry triggers a phase transition to a p-wave superfluid
state, and in that state we compute spectral functions for the fermionic
superpartners of mesons valued in the adjoint of SU(2) isospin. In the spectral
functions we see the breaking of rotational symmetry and the emergence of a
Fermi surface comprised of isolated points as we cool the system through the
superfluid phase transition. The dual gravitational description is two
coincident probe D5-branes in AdS5 x S5 with non-trivial worldvolume SU(2)
gauge fields. We extract spectral functions from solutions of the linearized
equations of motion for the D5-branes' worldvolume fermions, which couple to
one another through the worldvolume gauge field. We develop an efficient method
to compute retarded Green's functions from a system of coupled bulk fermions.
We also perform the holographic renormalization of free bulk fermions in any
asymptotically Euclidean AdS space.Comment: 68 pages, 25 eps files in 9 figures; v2 minor corrections, added two
  references, version published in JHE
Phenomenological Implications of Deflected Mirage Mediation: Comparison
  with Mirage Mediation

We compare the collider phenomenology of mirage mediation and deflected
mirage mediation, which are two recently proposed "mixed" supersymmetry
breaking scenarios motivated from string compactifications. The scenarios
differ in that deflected mirage mediation includes contributions from gauge
mediation in addition to the contributions from gravity mediation and anomaly
mediation also present in mirage mediation. The threshold effects from gauge
mediation can drastically alter the low energy spectrum from that of pure
mirage mediation models, resulting in some cases in a squeezed gaugino spectrum
and a gluino that is much lighter than other colored superpartners. We provide
several benchmark deflected mirage mediation models and construct model lines
as a function of the gauge mediation contributions, and discuss their discovery
potential at the LHC.Comment: 29 pages, 9 figure
Classical ultrarelativistic bremsstrahlung in extra dimensions

The emitted energy and the cross-section of classical scalar bremsstrahlung
in massive particle collisions in D=4+d dimensional Minkowski space M_D as well
as in the brane world M_4 \times T^d is computed to leading ultra-relativistic
order. The particles are taken to interact in the first case via the exchange
of a bulk massless scalar field \Phi and in the second with an additional
massless scalar \phi confined together with the particles on the brane. Energy
is emitted as \Phi radiation in the bulk and/or \phi radiation on the brane. In
contrast to the quantum Born approximation, the classical result is unambiguous
and valid in a kinematical region which is also specified. For D=4 the results
are in agreement with corresponding expressions in classical electrodynamics.Comment: Preprint number adde
Low-Energy Probes of a Warped Extra Dimension

We investigate a natural realization of a light Abelian hidden sector in an
extended Randall-Sundrum (RS) model. In addition to the usual RS bulk we
consider a second warped space containing a bulk U(1)_x gauge theory with a
characteristic IR scale of order a GeV. This Abelian hidden sector can couple
to the standard model via gauge kinetic mixing on a common UV brane. We show
that if such a coupling induces significant mixing between the lightest U(1)_x
gauge mode and the standard model photon and Z, it can also induce significant
mixing with the heavier U(1)_x Kaluza-Klein (KK) modes. As a result it might be
possible to probe several KK modes in upcoming fixed-target experiments and
meson factories, thereby offering a new way to investigate the structure of an
extra spacetime dimension.Comment: 26 pages, 1 figure, added references, corrected minor typos, same as
  journal versio
Bosonic spectral action induced from anomaly cancellation

We show how the fields and particles of the standard model can be naturally realized in noncommutative gauge theory. Starting with a Yang-Mills matrix model in more than four dimensions, an SU(n) gauge theory on a Moyal-Weyl space arises with all matter and fields in the adjoint of the gauge group. We show how this gauge symmetry can be broken spontaneously down to SU(3)c×SU(2)L×U(1)Q [resp. SU(3)c×U(1)Q], which couples appropriately to all fields in the standard model. An additional U(1)B gauge group arises which is anomalous at low energies, while the trace-U(1) sector is understood in terms of emergent gravity. A number of additional fields arise, which we assume to be massive, in a pattern that is reminiscent of supersymmetry. The symmetry breaking might arise via spontaneously generated fuzzy spheres, in which case the mechanism is similar to brane constructions in string the
Cut-and-join operators and N=4 super Yang-Mills

We show which multi-trace structures are compatible with the symmetrisation
of local operators in \cN=4 super Yang-Mills when they are organised into
representations of the global symmetry group. Cut-and-join operators give the
non-planar expansion of correlation functions of these operators in the free
theory. Using these techniques we find the 1/N corrections to the quarter-BPS
operators which remain protected at weak coupling. We also present a new way of
counting these chiral ring operators using the Weyl group S_N.Comment: 44 pages, 3 figures; minor clarifications and typos fixe