pinecone/core-2020-05-10-deduplication huggingface dataset:
SU(7) Unification of SU(3)_C*SU(4)_W* U(1)_{B-L}

We propose the SUSY SU(7) unification of the SU(3)_C* SU(4)_W* U(1)_{B-L}
model. Such unification scenario has rich symmetry breaking chains in a
five-dimensional orbifold. We study in detail the SUSY SU(7) symmetry breaking
into SU(3)_C* SU(4)_W* U(1)_{B-L} by boundary conditions in a Randall-Sundrum
background and its AdS/CFT interpretation. We find that successful gauge
coupling unification can be achieved in our scenario. Gauge unification favors
low left-right and unification scales with tree-level \sin^2\theta_W=0.15. We
use the AdS/CFT dual of the conformal supersymmetry breaking scenario to break
the remaining N=1 supersymmetry. We employ AdS/CFT to reproduce the NSVZ
formula and obtain the structure of the Seiberg duality in the strong coupling
region for 3/2N_c<N_F<3N_C. We show that supersymmetry is indeed broken in the
conformal supersymmetry breaking scenario with a vanishing singlet vacuum
expectation value.Comment: 25 pages, 1 figure
Coherent Parton Showers with Local Recoils

We outline a new formalism for dipole-type parton showers which maintain
exact energy-momentum conservation at each step of the evolution. Particular
emphasis is put on the coherence properties, the level at which recoil effects
do enter and the role of transverse momentum generation from initial state
radiation. The formulated algorithm is shown to correctly incorporate coherence
for soft gluon radiation. Furthermore, it is well suited for easing matching to
next-to-leading order calculations.Comment: 24 pages, 3 figure
Light scalars from a compact fifth dimension

We consider a general five-dimensional sigma-model coupled to gravity, with
any number of scalars and general sigma-model metric and potential. We discuss
in detail the problem of the boundary conditions for the scalar fluctuations,
in the case where the fifth dimension is compact, and provide a simple (and
very general) algorithmic procedure for computing the spectrum of physical
scalar fluctuations of the fully back-reacted system. Focusing in particular on
the conditions under which the spectrum of scalar excitations (glueballs)
contains parametrically light states, we apply the formalism to some especially
simple toy models, which can be thought of as the gauge/gravity duals of
strongly-coupled, non-conformal four-dimensional gauge theories. Our examples
are chosen both within the context of phenomenological effective field theory
constructions (bottom-up approach), and within the context of consistent
truncations of ten-dimensional string theories in the supergravity limit
(top-down approach). In one of the examples, a light dilaton is present in the
spectrum in spite of the presence of a bad naked singularity in the deep IR,
near which the RG flow of the dual theory is certainly very far away from any
fixed point. If this feature were to persist in a complete model in which the
singularity is resolved, this would prove that a light dilaton is to be
expected in at least certain walking technicolor theories. We provide here all
the technical details for testing this statement, once such a complete model is
identified.Comment: 39 pages. 11 figures. Published versio
Symmetries of Abelian Orbifolds

Using the Polya Enumeration Theorem, we count with particular attention to
C^3/Gamma up to C^6/Gamma, abelian orbifolds in various dimensions which are
invariant under cycles of the permutation group S_D. This produces a collection
of multiplicative sequences, one for each cycle in the Cycle Index of the
permutation group. A multiplicative sequence is controlled by its values on
prime numbers and their pure powers. Therefore, we pay particular attention to
orbifolds of the form C^D/Gamma where the order of Gamma is p^alpha. We propose
a generalization of these sequences for any D and any p.Comment: 75 pages, 13 figures, 30 table
NLSP Gluino Search at the Tevatron and early LHC

We investigate the collider phenomenology of gluino-bino co-annihilation
scenario both at the Tevatron and 7 TeV LHC. This scenario can be realized, for
example, in a class of realistic supersymmetric models with non-universal
gaugino masses and t-b-\tau Yukawa unification. The NLSP gluino and LSP bino
should be nearly degenerate in mass, so that the typical gluino search channels
involving leptons or hard jets are not available. Consequently, the gluino can
be lighter than various bounds on its mass from direct searches. We propose a
new search for NLSP gluino involving multi-b final states, arising from the
three-body decay \tilde{g}-> b\bar{b}\tilde{\chi}_1^0. We identify two
realistic models with gluino mass of around 300 GeV for which the three-body
decay is dominant, and show that a 4.5 \sigma observation sensitivity can be
achieved at the Tevatron with an integrated luminosity of 10 fb^{-1}. For the 7
TeV LHC with 50 pb^{-1} of integrated luminosity, the number of signal events
for the two models is O(10), to be compared with negligible SM background
event.Comment: 14 pages, 4 figures and 3 tables, minor modifications made and
  accepted for publication in JHE
Feynman rules for the rational part of the Electroweak 1-loop amplitudes
  in the R_xi gauge and in the Unitary gauge

We present the complete set of Feynman rules producing the rational terms of
kind R_2 needed to perform any 1-loop calculation in the Electroweak Standard
Model. Our formulae are given both in the R_xi gauge and in the Unitary gauge,
therefore completing the results in the 't Hooft-Feynman gauge already
presented in a previous publication. As a consistency check, we verified, in
the case of the process H -> gamma gamma and in a few other physical cases, the
independence of the total Rational Part R_1+R_2 on the chosen gauge. In
addition, we explicitly checked the equivalence of the limits xi -> infinity
after or before the loop momentum integration in the definition of the Unitary
gauge at 1-loop.Comment: 16 pages,3 figure
String Theory on Warped AdS_3 and Virasoro Resonances

We investigate aspects of holographic duals to time-like warped AdS_3
space-times--which include G\"odel's universe--in string theory. Using
worldsheet techniques similar to those that have been applied to AdS_3
backgrounds, we are able to identify space-time symmetry algebras that act on
the dual boundary theory. In particular, we always find at least one Virasoro
algebra with computable central charge. Interestingly, there exists a dense set
of points in the moduli space of these models in which there is actually a
second commuting Virasoro algebra, typically with different central charge than
the first. We analyze the supersymmetry of the backgrounds, finding related
enhancements, and comment on possible interpretations of these results. We also
perform an asymptotic symmetry analysis at the level of supergravity, providing
additional support for the worldsheet analysis.Comment: 24 pages + appendice
Real fermionic symmetry in type II supergravity

It is known that the transformations of fermionic T-duality, derived from the
worldsheet theory, generically transform real supergravity backgrounds to
complex supergravity backgrounds. We consider the low-energy target space
theory and show that the type II supergravity equations admit a symmetry that
transforms the Ramond-Ramond fields and the dilaton. The transformations given
by this symmetry involve Killing spinors and include the transformations of
Berkovits and Maldacena. However, we show that they also allow real
transformations.Comment: 30 pages; added comments and references. Corrected typo
Supersymmetric mass spectra for gravitino dark matter with a high
  reheating temperature

Supersymmetric theories with gravitino dark matter generally do not allow the
high reheating temperature required by thermal leptogenesis without running
afoul of relic abundance or big bang nucleosynthesis constraints. We report on
a successful search for parameter space that does satisfy these requirements.
The main implication is the near degeneracy of the gluino with the other
neutralinos in the spectrum. The leading discovery channel at the LHC for this
scenario is through monojet plus missing energy events.Comment: 13 pages, 9 figure
Scalar solitons and the microscopic entropy of hairy black holes in
  three dimensions

General Relativity coupled to a self-interacting scalar field in three
dimensions is shown to admit exact analytic soliton solutions, such that the
metric and the scalar field are regular everywhere. Since the scalar field
acquires slow fall-off at infinity, the soliton describes an asymptotically AdS
spacetime in a relaxed sense as compared with the one of Brown and Henneaux.
Nevertheless, the asymptotic symmetry group remains to be the conformal group,
and the algebra of the canonical generators possesses the standard central
extension. For this class of asymptotic behavior, the theory also admits hairy
black holes which raises some puzzles concerning an holographic derivation of
their entropy \`a la Strominger. Since the soliton is devoid of integration
constants, it has a fixed (negative) mass, and it can be naturally regarded as
the ground state of the "hairy sector", for which the scalar field is switched
on. This assumption allows to exactly reproduce the semiclassical hairy black
hole entropy from the asymptotic growth of the number of states by means of
Cardy formula. Particularly useful is expressing the asymptotic growth of the
number of states only in terms of the spectrum of the Virasoro operators
without making any explicit reference to the central charges.Comment: 17 pages, 1 figur
All tree-level amplitudes in massless QCD

We derive compact analytical formulae for all tree-level color-ordered gauge
theory amplitudes involving any number of external gluons and up to three
massless quark-anti-quark pairs. A general formula is presented based on the
combinatorics of paths along a rooted tree and associated determinants.
Explicit expressions are displayed for the next-to-maximally helicity violating
(NMHV) and next-to-next-to-maximally helicity violating (NNMHV) gauge theory
amplitudes. Our results are obtained by projecting the previously-found
expressions for the super-amplitudes of the maximally supersymmetric Yang-Mills
theory (N=4 SYM) onto the relevant components yielding all gluon-gluino tree
amplitudes in N=4 SYM. We show how these results carry over to the
corresponding QCD amplitudes, including massless quarks of different flavors as
well as a single electroweak vector boson. The public Mathematica package GGT
is described, which encodes the results of this work and yields analytical
formulae for all N=4 SYM gluon-gluino trees. These in turn yield all QCD trees
with up to four external arbitrary-flavored massless quark-anti-quark-pairs.Comment: 40 pages, Mathematica package GGT.m and example notebook is included
  in submission, v2: QCD four fermion line translations provided; GGT version
  1.1 update with a numerical evaluation function; comments on computer speed
  optimizations, v3: Minor changes, version to be published in JHEP, v4:
  published version in JHE
Monopoles, three-algebras and ABJM theories with $\N=5,6,8$
  supersymmetry

We extend the hermitian three-algebra formulation of ABJM theory to include
$U(1)$ factors. With attention payed to extra $U(1)$ factors, we refine the
classification of $\N=6$ ABJM theories. We argue that essentially the only
allowed gauge groups are $SU(N)\times SU(N)$, $U(N)\times U(M)$ and
$Sp(N)\times U(1)$ and that we have only one independent Chern-Simons level in
all these cases. Our argument is based on integrality of the $U(1)$
Chern-Simons levels and supersymmetry. A relation between monopole operators
and Wilson lines in Chern-Simons theory suggests certain gauge representations
of the monopole operators. From this we classify cases where we can not expect
enhanced $\N=8$ supersymmetry. We also show that there are two equivalent
formulations of $\N=5$ ABJM theories, based on hermitian three-algebra and
quaternionic three-algebra respectively. We suggest properties of monopoles in
$\N=5$ theories and show how these monopoles may enhance supersymmetry from
$\N=5$ to $\N=6$.Comment: 52 page
The Grassmannian and the Twistor String: Connecting All Trees in N=4 SYM

We present a new, explicit formula for all tree-level amplitudes in N=4 super
Yang-Mills. The formula is written as a certain contour integral of the
connected prescription of Witten's twistor string, expressed in link variables.
A very simple deformation of the integrand gives directly the Grassmannian
integrand proposed by Arkani-Hamed et al. together with the explicit contour of
integration. The integral is derived by iteratively adding particles to the
Grassmannian integral, one particle at a time, and makes manifest both parity
and soft limits. The formula is shown to be related to those given by Dolan and
Goddard, and generalizes the results of earlier work for NMHV and N^2MHV to all
N^(k-2)MHV tree amplitudes in N=4 super Yang-Mills.Comment: 26 page
The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM

We give an explicit recursive formula for the all L-loop integrand for
scattering amplitudes in N=4 SYM in the planar limit, manifesting the full
Yangian symmetry of the theory. This generalizes the BCFW recursion relation
for tree amplitudes to all loop orders, and extends the Grassmannian duality
for leading singularities to the full amplitude. It also provides a new
physical picture for the meaning of loops, associated with canonical operations
for removing particles in a Yangian-invariant way. Loop amplitudes arise from
the "entangled" removal of pairs of particles, and are naturally presented as
an integral over lines in momentum-twistor space. As expected from manifest
Yangian-invariance, the integrand is given as a sum over non-local terms,
rather than the familiar decomposition in terms of local scalar integrals with
rational coefficients. Knowing the integrands explicitly, it is straightforward
to express them in local forms if desired; this turns out to be done most
naturally using a novel basis of chiral, tensor integrals written in
momentum-twistor space, each of which has unit leading singularities. As simple
illustrative examples, we present a number of new multi-loop results written in
local form, including the 6- and 7-point 2-loop NMHV amplitudes. Very concise
expressions are presented for all 2-loop MHV amplitudes, as well as the 5-point
3-loop MHV amplitude. The structure of the loop integrand strongly suggests
that the integrals yielding the physical amplitudes are "simple", and
determined by IR-anomalies. We briefly comment on extending these ideas to more
general planar theories.Comment: 46 pages; v2: minor changes, references adde
Seiberg-Witten curve via generalized matrix model

We study the generalized matrix model which corresponds to the n-point toric
Virasoro conformal block. This describes four-dimensional N=2 SU(2)^n gauge
theory with circular quiver diagram by the AGT relation. We first verify that
it is obtained from the perturbative calculation of the Liouville correlation
function. We derive the Seiberg-Witten curve for N=2 gauge theory as a spectral
curve of the generalized matrix model.Comment: 22 pages, 3 figures; v2: references added, typos corrected; v3: minor
  corrections, references adde
D-branes Wrapped on Fuzzy del Pezzo Surfaces

We construct classical solutions in quiver gauge theories on D0-branes
probing toric del Pezzo singularities in Calabi-Yau manifolds. Our solutions
represent D4-branes wrapped around fuzzy del Pezzo surfaces. We study the
fluctuation spectrum around the fuzzy CP^2 solution in detail. We also comment
on possible applications of our fuzzy del Pezzo surfaces to the fuzzy version
of F-theory, dubbed F(uzz) theory.Comment: 1+42 pages, 9 figures v2: references added v3: statements on the
  structure of the Yukawa couplings weakened. published versio
Evidence for F(uzz) Theory

We show that in the decoupling limit of an F-theory compactification, the
internal directions of the seven-branes must wrap a non-commutative four-cycle
S. We introduce a general method for obtaining fuzzy geometric spaces via toric
geometry, and develop tools for engineering four-dimensional GUT models from
this non-commutative setup. We obtain the chiral matter content and Yukawa
couplings, and show that the theory has a finite Kaluza-Klein spectrum. The
value of 1/alpha_(GUT) is predicted to be equal to the number of fuzzy points
on the internal four-cycle S. This relation puts a non-trivial restriction on
the space of gauge theories that can arise as a limit of F-theory. By viewing
the seven-brane as tiled by D3-branes sitting at the N fuzzy points of the
geometry, we argue that this theory admits a holographic dual description in
the large N limit. We also entertain the possibility of constructing string
models with large fuzzy extra dimensions, but with a high scale for quantum
gravity.Comment: v2: 66 pages, 3 figures, references and clarifications adde
Lepton Number Violation from Colored States at the LHC

The possibility to search for lepton number violating signals at the Large
Hadron Collider (LHC) in the colored seesaw scenario is investigated. In this
context the fields that generate neutrino masses at the one-loop level are
scalar and Majorana fermionic color-octets of SU(3). Due to the QCD strong
interaction these states may be produced at the LHC with a favorable rate. We
study the production mechanisms and decays relevant to search for lepton number
violation signals in the channels with same-sign dileptons. In the simplest
case when the two fermionic color-octets are degenerate in mass, one could use
their decays to distinguish between the neutrino spectra. We find that for
fermionic octets with mass up to about 1 TeV the number of same-sign dilepton
events is larger than the standard model background indicating a promising
signal for new physics.Comment: minor corrections, added reference
The Conformal Manifold of Chern-Simons Matter Theories

We determine perturbatively the conformal manifold of N=2 Chern-Simons matter
theories with the aim of checking in the three dimensional case the general
prescription based on global symmetry breaking, recently introduced. We discuss
in details few remarkable cases like the N=6 ABJM theory and its less
supersymmetric generalizations with/without flavors. In all cases we find
perfect agreement with the predictions of global symmetry breaking
prescription.Comment: 1+17 pages, 1 figure, references adde
On KLT and SYM-supergravity relations from 5-point 1-loop amplitudes

We derive a new non-singular tree-level KLT relation for the $n=5$-point
amplitudes, with manifest $2(n-2)!$ symmetry, using information from one-loop
amplitudes and IR divergences, and speculate how one might extend it to higher
n-point functions. We show that the subleading-color ${\cal N}=4$ SYM 5-point
amplitude has leading IR divergence of $1/\epsilon$, which is essential for the
applications of this paper. We also propose a relation between the
subleading-color ${\cal N}=4$ SYM and ${\cal N}=8$ supergravity 1-loop 5-point
amplitudes, valid for the IR divergences and possibly for the whole amplitudes,
using techniques similar to those used in our derivation of the new KLT
relation.Comment: 18 pages, latex, no figure
Unification of Residues and Grassmannian Dualities

The conjectured duality relating all-loop leading singularities of n-particle
N^(k-2)MHV scattering amplitudes in N=4 SYM to a simple contour integral over
the Grassmannian G(k,n) makes all the symmetries of the theory manifest. Every
residue is individually Yangian invariant, but does not have a local space-time
interpretation--only a special sum over residues gives physical amplitudes. In
this paper we show that the sum over residues giving tree amplitudes can be
unified into a single algebraic variety, which we explicitly construct for all
NMHV and N^2MHV amplitudes. Remarkably, this allows the contour integral to
have a "particle interpretation" in the Grassmannian, where higher-point
amplitudes can be constructed from lower-point ones by adding one particle at a
time, with soft limits manifest. We move on to show that the connected
prescription for tree amplitudes in Witten's twistor string theory also admits
a Grassmannian particle interpretation, where the integral over the
Grassmannian localizes over the Veronese map from G(2,n) to G(k,n). These
apparently very different theories are related by a natural deformation with a
parameter t that smoothly interpolates between them. For NMHV amplitudes, we
use a simple residue theorem to prove t-independence of the result, thus
establishing a novel kind of duality between these theories.Comment: 56 pages, 11 figures; v2: typos corrected, minor improvement
Non-equilibrium physics at a holographic chiral phase transition

The D3/D7 system holographically describes an N=2 gauge theory which
spontaneously breaks a chiral symmetry by the formation of a quark condensate
in the presence of a magnetic field. At finite temperature it displays a first
order phase transition. We study out of equilibrium dynamics associated with
this transition by placing probe D7 branes in a geometry describing a
boost-invariant expanding or contracting plasma. We use an adiabatic
approximation to track the evolution of the quark condensate in a heated system
and reproduce the phase structure expected from equilibrium dynamics. We then
study solutions of the full partial differential equation that describes the
evolution of out of equilibrium configurations to provide a complete
description of the phase transition including describing aspects of bubble
formation.Comment: 25 pages, 11 figure
Center clusters in the Yang-Mills vacuum

Properties of local Polyakov loops for SU(2) and SU(3) lattice gauge theory
at finite temperature are analyzed. We show that spatial clusters can be
identified where the local Polyakov loops have values close to the same center
element. For a suitable definition of these clusters the deconfinement
transition can be characterized by the onset of percolation in one of the
center sectors. The analysis is repeated for different resolution scales of the
lattice and we argue that the center clusters have a continuum limit.Comment: Table added. Final version to appear in JHE
NLO QCD corrections in Herwig++ with MC@NLO

We present the calculations necessary to obtain next-to-leading order QCD
precision with the Herwig++ event generator using the MC@NLO approach, and
implement them for all the processes that were previously available from
Fortran HERWIG with MC@NLO. We show a range of results comparing the two
implementations. With these calculations and recent developments in the
automatic generation of NLO matrix elements, it will be possible to obtain NLO
precision with Herwig++ for a much wider range of processesComment: 26 pages, 28 figure
6-loop anomalous dimension of a single impurity operator from AdS/CFT
  and multiple zeta values

Anomalous dimension of the simplest nontrivial single impurity operator in
the beta=1/2 deformed theory is determined at six loops from the AdS/CFT
correspondence. L\"uscher correction is evaluated at next-to-next-to-leading
order (NNLO) in terms of multiple zeta values. The result can be simplified
into the products of simple zeta functions and the same form of the correction
is expected for the Konishi operator at six loops, too.Comment: 14 pages, references added, numeric coefficient in (5) corrected,
  which changes the numerical result, but not its structur