pinecone/core-2020-05-10-deduplication huggingface dataset:
On Large N Solution of Gaiotto-Tomasiello Theory

The planar solution is discussed for an N=3 Chern-Simons-matter theory
constructed recently by Gaiotto and Tomasiello. The planar resolvent is
obtained in terms of contour integrals. If the sum of two Chern-Simons levels
k_1,k_2 is small, the expectation value of a supersymmetric Wilson loop grows
exponentially with the total 't Hooft coupling, as is expected from AdS/CFT
correspondence. If one of the Chern-Simons levels, say k_2, is taken to
infinity, for which one of the 't Hooft coupling constants becomes zero, then
the exponential behavior disappears.Comment: 25 pages, (v2) references added, (v3) references added, typos
  corrected, published versio
On Taming the Warped Radion with Supersymmetry

In warped models that solve the hierarchy problem, there is generally no
dynamical relation between the size of the fifth dimension and the scale of
electroweak symmetry breaking (EWSB). The establishment of such a relation,
without fine-tuning, requires that Casimir contributions to the radion
potential not exceed the energy density associated with EWSB. Here, we examine
the use of supersymmetry for controlling the Casimir energy density and making
quantum contributions calculable. We compute the effects of supersymmetry
breaking at the UV and IR boundaries of warped backgrounds, in the presence of
brane localized kinetic terms. Various limits of supersymmetry breaking are
examined. We find that when supersymmetry is broken on the UV brane, vacuum
contributions to the radion potential can be controlled (as likely necessary
for EWSB to govern the radion potential) via small soft masses as well as a
"double volume suppression." Our formalism can also provide a setup for radion
stabilization by bulk fields, when supersymmetry is broken on both the UV and
the IR branes.Comment: Discussion of brane tension effects substantially revised. Main
  physical conclusions unchanged. Latex, 20 page
Solution to the Ward Identities for Superamplitudes

Supersymmetry and R-symmetry Ward identities relate on-shell amplitudes in a
supersymmetric field theory. We solve these Ward identities for (Next-to)^K MHV
amplitudes of the maximally supersymmetric N=4 and N=8 theories. The resulting
superamplitude is written in a new, manifestly supersymmetric and R-invariant
form: it is expressed as a sum of very simple SUSY and SU(N)_R-invariant
Grassmann polynomials, each multiplied by a "basis amplitude". For (Next-to)^K
MHV n-point superamplitudes the number of basis amplitudes is equal to the
dimension of the irreducible representation of SU(n-4) corresponding to the
rectangular Young diagram with N columns and K rows. The linearly independent
amplitudes in this algebraic basis may still be functionally related by
permutation of momenta. We show how cyclic and reflection symmetries can be
used to obtain a smaller functional basis of color-ordered single-trace
amplitudes in N=4 gauge theory. We also analyze the more significant reduction
that occurs in N=8 supergravity because gravity amplitudes are not ordered. All
results are valid at both tree and loop level.Comment: 29 pages, published versio
Interplay of LFV and slepton mass splittings at the LHC as a probe of
  the SUSY seesaw

We study the impact of a type-I SUSY seesaw concerning lepton flavour
violation (LFV) both at low-energies and at the LHC. The study of the di-lepton
invariant mass distribution at the LHC allows to reconstruct some of the masses
of the different sparticles involved in a decay chain. In particular, the
combination with other observables renders feasible the reconstruction of the
masses of the intermediate sleptons involved in $ \chi_2^0\to \tilde \ell
\,\ell \to \ell \,\ell\,\chi_1^0$ decays. Slepton mass splittings can be either
interpreted as a signal of non-universality in the SUSY soft breaking-terms
(signalling a deviation from constrained scenarios as the cMSSM) or as being
due to the violation of lepton flavour. In the latter case, in addition to
these high-energy processes, one expects further low-energy manifestations of
LFV such as radiative and three-body lepton decays. Under the assumption of a
type-I seesaw as the source of neutrino masses and mixings, all these LFV
observables are related. Working in the framework of the cMSSM extended by
three right-handed neutrino superfields, we conduct a systematic analysis
addressing the simultaneous implications of the SUSY seesaw for both high- and
low-energy lepton flavour violation. We discuss how the confrontation of
slepton mass splittings as observed at the LHC and low-energy LFV observables
may provide important information about the underlying mechanism of LFV.Comment: 50 pages, 42 eps Figures, typos correcte
Tensorial Reconstruction at the Integrand Level

We present a new approach to the reduction of one-loop amplitudes obtained by
reconstructing the tensorial expression of the scattering amplitudes. The
reconstruction is performed at the integrand level by means of a sampling in
the integration momentum. There are several interesting applications of this
novel method within existing techniques for the reduction of one-loop multi-leg
amplitudes: to deal with numerically unstable points, such as in the vicinity
of a vanishing Gram determinant; to allow for a sampling of the numerator
function based on real values of the integration momentum; to optimize the
numerical reduction in the case of long expressions for the numerator
functions.Comment: 20 pages, 2 figure
Notes on Wall Crossing and Instanton in Compactified Gauge Theory with
  Matter

We study the quantum effects on the Coulomb branch of N=2 SU(2)
supersymmetric Yang-Mills with fundamental matters compactified on R^3 x S^1,
and extract the explicit perturbative and leading non-perturbative corrections
to the moduli space metric predicted from the recent work of Gaiotto, Moore and
Neitzke on wall-crossing [1]. We verify the predicted metric by computing the
leading weak coupling instanton contribution to the four fermion correlation
using standard field theory techniques, and demonstrate perfect agreement. We
also demonstrate how previously known three dimensional quantities can be
recovered in appropriate small radius limit, and provide a simple geometric
picture from brane construction.Comment: 24 pages, 1 figur
Uniformization, Calogero-Moser/Heun duality and Sutherland/bubbling
  pants

Inspired by the work of Alday, Gaiotto and Tachikawa (AGT), we saw the
revival of Poincar{\'{e}}'s uniformization problem and Fuchsian equations
obtained thereof.
  Three distinguished aspects are possessed by Fuchsian equations. First, they
are available via imposing a classical Liouville limit on level-two null-vector
conditions. Second, they fall into some A_1-type integrable systems. Third, the
stress-tensor present there (in terms of the Q-form) manifests itself as a kind
of one-dimensional "curve".
  Thereby, a contact with the recently proposed Nekrasov-Shatashvili limit was
soon made on the one hand, whilst the seemingly mysterious derivation of
Seiberg-Witten prepotentials from integrable models become resolved on the
other hand. Moreover, AGT conjecture can just be regarded as a quantum version
of the previous Poincar{\'{e}}'s approach.
  Equipped with these observations, we examined relations between spheric and
toric (classical) conformal blocks via Calogero-Moser/Heun duality. Besides, as
Sutherland model is also obtainable from Calogero-Moser by pinching tori at one
point, we tried to understand its eigenstates from the viewpoint of toric
diagrams with possibly many surface operators (toric branes) inserted. A
picture called "bubbling pants" then emerged and reproduced well-known results
of the non-critical self-dual c=1 string theory under a "blown-down" limit.Comment: 17 pages, 4 figures; v2: corrections and references added; v3:
  Section 2.4.1 newly added thanks to JHEP referee advice. That classical
  four-point spheric conformal blocks reproducing known SW prepotentials is
  demonstrated via more examples, to appear in JHEP; v4: TexStyle changed onl
Stringy KLT relations, global symmetries, and E_7(7) violation

We study consequences of the Kawai-Lewellen-Tye (KLT) relations applied to
tree amplitudes in toroidal compactifications of string theory to four
dimensions. The closed string tree amplitudes with massless external states
respect a global SU(4)xSU(4) symmetry, which is enhanced to the SU(8)
R-symmetry of N=8 supergravity in the field theory limit. Our analysis focuses
on two aspects: (i) We provide a detailed account of the simplest
SU(8)-violating amplitudes. We classify these processes and derive explicit
superamplitudes for all local 5- and 6-point operators with SU(4)xSU(4)
symmetry at order alpha'^3. Their origin is the dilatonic operator exp(-6 phi)
R^4 in the closed-string effective action. (ii) We expand the 6-point closed
string tree amplitudes to order alpha'^3 and use two different methods to
isolate the SU(8)-singlet contribution from exp(-6 phi) R^4. This allows us to
extract the matrix elements of the unique SU(8)-invariant supersymmetrization
of R^4. Their single-soft scalar limits are non-vanishing. This demonstrates
that the N=8 supergravity candidate counterterm R^4 is incompatible with
continuous E_7(7) symmetry. From the soft scalar limits, we reconstruct to
quadratic order the SU(8)-invariant function of scalars that multiplies R^4,
and show that it satisfies the Laplace eigenvalue equation derived recently
from supersymmetry and duality constraints.Comment: 23 pages, published versio
Note on New KLT relations

In this short note, we present two results about KLT relations discussed in
recent several papers. Our first result is the re-derivation of Mason-Skinner
MHV amplitude by applying the S_{n-3} permutation symmetric KLT relations
directly to MHV amplitude. Our second result is the equivalence proof of the
newly discovered S_{n-2} permutation symmetric KLT relations and the well-known
S_{n-3} permutation symmetric KLT relations. Although both formulas have been
shown to be correct by BCFW recursion relations, our result is the first direct
check using the regularized definition of the new formula.Comment: 15 Pages; v2: minor correction
S-matrix for magnons in the D1-D5 system

We show that integrability and symmetries of the near horizon geometry of the
D1-D5 system determine the S-matrix for the scattering of magnons with
polarizations in AdS3 $\times$ S3 completely up to a phase. Using
semi-classical methods we evaluate the phase to the leading and to the one-loop
approximation in the strong coupling expansion. We then show that the phase
obeys the unitarity constraint implied by the crossing relations to the
one-loop order. We also verify that the dispersion relation obeyed by these
magnons is one-loop exact at strong coupling which is consistent with their BPS
nature.Comment: 40 pages, Latex, Role of Virasoro constraints clarified, version
  matches with published versio
Holographic Phase Transition to Topological Dyons

The dynamical stability of a Julia-Zee solution in the AdS background in a
four dimensional Einstein-Yang-Mills-Higgs theory is studied. We find that the
model with a vanishing scalar field develops a non-zero value for the field at
a certain critical temperature which corresponds to a topological dyon in the
bulk and a topological phase transition at the boundary.Comment: 18 pages, 2 figures, 2 tables, sections 2 and 4 are shortened, an
  error in the last part of section 5 is corrected and equations are modified.
  This version to be published in JHE
MiniBooNE and LSND data: non-standard neutrino interactions in a (3+1)
  scheme versus (3+2) oscillations

The recently observed event excess in MiniBooNE anti-neutrino data is in
agreement with the LSND evidence for electron anti-neutrino appearance. We
propose an explanation of these data in terms of a (3+1) scheme with a sterile
neutrino including non-standard neutrino interactions (NSI) at neutrino
production and detection. The interference between oscillations and NSI
provides a source for CP violation which we use to reconcile different results
from neutrino and anti-neutrino data. Our best fit results imply NSI at the
level of a few percent relative to the standard weak interaction, in agreement
with current bounds. We compare the quality of the NSI fit to the one obtained
within the (3+1) and (3+2) pure oscillation frameworks. We also briefly comment
on using NSI (in an effective two-flavour framework) to address a possible
difference in neutrino and anti-neutrino results from the MINOS experiment.Comment: 28 pages, 9 figures, discussion improved, new appendix added,
  conclusions unchange
Mind the Gap: Supersymmetry Breaking in Scaling, Microstate Geometries

We use a multi-species supertube solution to construct an example of a
scaling microstate geometry for non-BPS black rings in five dimensions. We
obtain the asymptotic charges of the microstate geometry and show how the
solution is related to the corresponding non-BPS black ring. The supersymmetry
is broken in a very controlled manner using holonomy and this enables a close
comparison with a scaling, BPS microstate geometry. Requiring that there are no
closed time-like curves near the supertubes places additional restrictions on
the moduli space of physical, non-BPS solutions when compared to their BPS
analogs. For large holonomy the scaling non-BPS solution always has closed
time-like curves while for smaller holonomy there is a "gap" in the non-BPS
moduli space relative to the BPS counterpart.Comment: 36 pages, 11 figures. Version 2 has minor clarifications in the tex
Where the Sidewalk Ends: Jets and Missing Energy Search Strategies for
  the 7 TeV LHC

This work explores the potential reach of the 7 TeV LHC to new colored states
in the context of simplified models and addresses the issue of which search
regions are necessary to cover an extensive set of event topologies and
kinematic regimes. This article demonstrates that if searches are designed to
focus on specific regions of phase space, then new physics may be missed if it
lies in unexpected corners. Simple multiregion search strategies can be
designed to cover all of kinematic possibilities. A set of benchmark models are
created that cover the qualitatively different signatures and a benchmark
multiregion search strategy is presented that covers these models.Comment: 30 pages, 8 Figures, 3 Tables. Version accepted at JHEP. Minor
  changes. Added figur
Z-extremization and F-theorem in Chern-Simons matter theories

The three dimensional exact R symmetry of N=2 SCFTs extremizes the partition
function localized on a three sphere. Here we verify this statement at weak
coupling. We give a detailed analysis for two classes of models. The first one
is an SU(N)_k gauge theory at large k with both fundamental and adjoint matter
fields, while the second is a flavored version of the ABJ theory, where the CS
levels are large but they do not necessarily sum up to zero. We study in both
cases superpotential deformations and compute the R charges at different fixed
points. When these fixed points are connected by an RG flow we explicitly
verify that the free energy decreases at the endpoints of the flow between the
fixed points, corroborating the conjecture of an F-theorem in three dimensions.Comment: 28 pages, 3 figures, JHEP.cls, minor corrections, references adde
Extended tree-level gauge mediation

Tree-level gauge mediation (TGM) is a scenario of SUSY breaking in which the tree-level exchange of heavy (possibly GUT) vector fields generates flavor-universal sfermion masses. In this work we extend this framework to the case of E(6) that is the natural extension of the minimal case studied so far. Despite the number of possible E(6) subgroups containing G(SM) is large (we list all rank 6 subgroups), there are only three different cases corresponding to the number of vector messengers. As a robust prediction we find that sfermion masses are SU(5) invariant at the GUT scale, even if the gauge group does not contain SU(5). If SUSY breaking is mediated purely by the U(1) generator that commutes with SO(10) we obtain universal sfermion masses and thus can derive the CMSSM boundary conditions in a novel scenario
N=2 Conformal Superspace in Four Dimensions

We develop the geometry of four dimensional N=2 superspace where the entire
conformal algebra of SU(2,2|2) is realized linearly in the structure group
rather than just the SL(2,C) x U(2)_R subgroup of Lorentz and R-symmetries,
extending to N=2 our prior result for N=1 superspace. This formulation
explicitly lifts to superspace the existing methods of the N=2 superconformal
tensor calculus; at the same time the geometry, when degauged to SL(2,C) x
U(2)_R, reproduces the existing formulation of N=2 conformal supergravity
constructed by Howe.Comment: 43 pages; v2 references added, acknowledgments update
Canonical quantization of non-commutative holonomies in 2+1 loop quantum
  gravity

In this work we investigate the canonical quantization of 2+1 gravity with
cosmological constant $\Lambda>0$ in the canonical framework of loop quantum
gravity. The unconstrained phase space of gravity in 2+1 dimensions is
coordinatized by an SU(2) connection $A$ and the canonically conjugate triad
field $e$. A natural regularization of the constraints of 2+1 gravity can be
defined in terms of the holonomies of $A+=A + \sqrt\Lambda e$. As a first step
towards the quantization of these constraints we study the canonical
quantization of the holonomy of the connection $A_{\lambda}=A+\lambda e$ on the
kinematical Hilbert space of loop quantum gravity. The holonomy operator
associated to a given path acts non trivially on spin network links that are
transversal to the path (a crossing). We provide an explicit construction of
the quantum holonomy operator. In particular, we exhibit a close relationship
between the action of the quantum holonomy at a crossing and Kauffman's
q-deformed crossing identity. The crucial difference is that (being an operator
acting on the kinematical Hilbert space of LQG) the result is completely
described in terms of standard SU(2) spin network states (in contrast to
q-deformed spin networks in Kauffman's identity). We discuss the possible
implications of our result.Comment: 19 pages, references added. Published versio
Two-Higgs leptonic minimal flavour violation

We construct extensions of the Standard Model with two Higgs doublets, where there are flavour changing neutral currents both in the quark and leptonic sectors, with their strength fixed by the fermion mixing matrices V(CKM) and V(PMNS). These models are an extension to the leptonic sector of the class of models previously considered by Branco, Grimus and Lavoura, for the quark sector. We consider both the cases of Dirac and Majorana neutrinos and identify the minimal discrete symmetry required in order to implement the models in a natural way
Is soft breaking of BRST symmetry consistent?

A definition of soft breaking of BEST symmetry in the field-antifield formalism is proposed, valid for general gauge theories and arbitrary gauge fixing. The Ward identities for the generating functionals of Green's functions are derived, and their gauge dependence is investigated. We discuss the Gribov-Zwanziger action to the one-parameter family of gauges. It is argued that gauge theories with a soft breaking of BEST symmetry are inconsistent.DFG/436 RUS 113/669/4LRSS/3558.2010.2RFBR-Ukraine/11-02-90445RFBR/09-02-0007
Towards pp -> VVjj at NLO QCD: Bosonic contributions to triple vector
  boson production plus jet

In this work, some of the NLO QCD corrections for pp -> VVjj + X are
presented. A program in Mathematica based on the structure of FeynCalc which
automatically simplifies a set of amplitudes up to the hexagon level of rank 5
has been created for this purpose. We focus on two different topologies. The
first involves all the virtual contributions needed for quadruple electroweak
vector boson production, i.e. pp -> VVVV + X. In the second, the remaining
"bosonic" corrections to electroweak triple vector boson production with an
additional jet (pp -> VVV j + X) are computed. We show the factorization
formula of the infrared divergences of the bosonic contributions for VVVV and
VVVj production with V=(W,Z,gamma). Stability issues associated with the
evaluation of the hexagons up to rank 5 are studied. The CPU time of the
FORTRAN subroutines rounds the 2 milliseconds and seems to be competitive with
other more sophisticated methods. Additionally, in Appendix A the master
equations to obtain the tensor coefficients up to the hexagon level in the
external momenta convention are presented including the ones needed for small
Gram determinants.Comment: 48 pages,16 figure
Negative discriminant states in N=4 supersymmetric string theories

Single centered BPS black hole solutions exist only when the charge carried
by the black hole has positive discriminant. On the other hand the exact dyon
spectrum in heterotic string theory compactified on T^6 is known to contain
states with negative discriminant. We show that all of these negative
discriminant states can be accounted for as two centered black holes. Thus
after the contribution to the index from the two centered black holes is
subtracted from the total microscopic index, the index for states with negative
discriminant vanishes even for finite values of charges, in agreement with the
results from the black hole side. Bound state metamorphosis -- which requires
us to identify certain apparently different two centered configurations
according to a specific set of rules -- plays a crucial role in this analysis.
We also generalize these results to a class of CHL string theories.Comment: LaTeX file, 32 pages; v2: reference added; v3: added new section 3.
Quantization of Integrable Systems and a 2d/4d Duality

We present a new duality between the F-terms of supersymmetric field theories
defined in two- and four-dimensions respectively. The duality relates N=2
supersymmetric gauge theories in four dimensions, deformed by an
Omega-background in one plane, to N=(2,2) gauged linear sigma-models in two
dimensions. On the four dimensional side, our main example is N=2 SQCD with
gauge group SU(L) and 2L fundamental flavours. Using ideas of Nekrasov and
Shatashvili, we argue that the Coulomb branch of this theory provides a
quantization of the classical Heisenberg SL(2) spin chain. Agreement with the
standard quantization via the Algebraic Bethe Ansatz implies the existence of
an isomorphism between the chiral ring of the 4d theory and that of a certain
two-dimensional theory. The latter can be understood as the worldvolume theory
on a surface operator/vortex string probing the Higgs branch of the same 4d
theory. We check the proposed duality by explicit calculation at low orders in
the instanton expansion. One striking consequence is that the Seiberg-Witten
solution of the 4d theory is captured by a one-loop computation in two
dimensions. The duality also has interesting connections with the AGT
conjecture, matrix models and topological string theory where it corresponds to
a refined version of the geometric transition.Comment: 51 pages, 7 figures. Additional comments, minor improvements and
  references adde
Microscopics of Extremal Kerr from Spinning M5 Branes

We show that the spinning magnetic one-brane in minimal five-dimensional
supergravity admits a decoupling limit that interpolates smoothly between a
self-dual null orbifold of AdS_3 \times S^2 and the near-horizon limit of the
extremal Kerr black hole times a circle. We use this interpolating solution to
understand the field theory dual to spinning M5 branes as a deformation of the
Discrete Light Cone Quantized (DLCQ) Maldacena-Stominger-Witten (MSW) CFT. In
particular, the conformal weights of the operators dual to the deformation
around AdS_3 \times S^2 are calculated. We present pieces of evidence showing
that a CFT dual to the four-dimensional extremal Kerr can be obtained from the
deformed MSW CFT.Comment: 5 page