pinecone/core-2020-05-10-deduplication huggingface dataset:
Wall-Crossing in Coupled 2d-4d Systems

We introduce a new wall-crossing formula which combines and generalizes the
Cecotti-Vafa and Kontsevich-Soibelman formulas for supersymmetric 2d and 4d
systems respectively. This 2d-4d wall-crossing formula governs the
wall-crossing of BPS states in an N=2 supersymmetric 4d gauge theory coupled to
a supersymmetric surface defect. When the theory and defect are compactified on
a circle, we get a 3d theory with a supersymmetric line operator, corresponding
to a hyperholomorphic connection on a vector bundle over a hyperkahler space.
The 2d-4d wall-crossing formula can be interpreted as a smoothness condition
for this hyperholomorphic connection. We explain how the 2d-4d BPS spectrum can
be determined for 4d theories of class S, that is, for those theories obtained
by compactifying the six-dimensional (0,2) theory with a partial topological
twist on a punctured Riemann surface C. For such theories there are canonical
surface defects. We illustrate with several examples in the case of A_1
theories of class S. Finally, we indicate how our results can be used to
produce solutions to the A_1 Hitchin equations on the Riemann surface C.Comment: 170 pages, 45 figure
Singular SQCD Vacua and Confinement

We revisit the study of confining vacua in the softly broken N=2
supersymmetric QCD, in the light of some recent developments in our
understanding of the dynamics of N=2 gauge theories. These vacua are
characterized by an effective magnetic $SU(r)$ gauge group ($0\leq r\leq
N_f/2$) and are referred to sometimes as the $r$ vacua. We further clarify the
meaning of $r \leftrightarrow N_{f}-r$ duality arising from the matching of
semi-classical and quantum vacua. A particular attention is paid to certain
singular SCFT's of N=2 SQCD, driven into confinement phase by the adjoint mass
deformation $\mu\, \Phi^{2}$. In some cases they occur as a result of
coalescence of different $r$ vacua as the bare mass is tuned to a critical
value.Comment: 27 page
A next-to-next-to-leading order calculation of soft-virtual cross
  sections

We compute the next-to-next-to-leading order (NNLO) soft and virtual QCD
corrections for the partonic cross section of colourless-final state processes
in hadronic collisions. The results are valid to all orders in the dimensional
regularization parameter $\ep$. The dependence of the results on a particular
process is given through finite contributions to the one and two-loop
amplitudes. To evaluate the accuracy of the soft-virtual approximation we
compare it with the full NNLO result for Drell-Yan and Higgs boson production
via gluon fusion. We also provide a universal expression for the hard
coefficient needed to perform threshold resummation up to
next-to-next-to-leading logarithmic (NNLL) accuracy.Comment: 25 pages, 4 figure
N=2 Supergravity Counterterms, Off and On Shell

We study N=2 supergravity deformed by a genuine supersymmetric completion of
the $\lambda R^4$ term, using the underlying off shell N=2 superconformal
framework. The gauge-fixed superconformal model has unbroken local
supersymmetry of N=2 supergravity with higher derivative deformation.
Elimination of auxiliary fields leads to the deformation of the supersymmetry
rules as well as to the deformation of the action, which becomes a Born-Infeld
with higher derivative type action. We find that the gravitino supersymmetry
deformation starts from $\lambda \, \pa^4 {\cal F}^3$ and has higher
graviphoton couplings. In the action there are terms $\lambda^2 \pa^8 {\cal
F}^{6}$ and higher, in addition to original on shell counterterm deformation.
These deformations are absent in the on shell superspace and in the candidate
on shell counterterms of N=4,~8 supergravities, truncated down to N=2. We
conclude therefore that the undeformed on shell superspace candidate
counterterms break the N=2 part of local supersymmetry.Comment: 20 pages, 3 tables. Acknowledgments added. arXiv admin note: text
  overlap with arXiv:1010.2150 by other author
Three and Four Point Functions of Stress Energy Tensors in D=3 for the
  Analysis of Cosmological Non-Gaussianities

We compute the correlation functions of 3 and 4 stress energy tensors $(T)$
in D=3 in free field theories of scalars, abelian gauge fields, and fermions,
which are relevant in the analysis of cosmological non-gaussianities. These
correlators appear in the holographic expressions of the scalar and tensor
perturbations derived for holographic cosmological models. The result is simply
adapted to describe the leading contributions in the gauge coupling to the same
correlators also for a non abelian SU(N) gauge theory. In the case of the
bispectrum, our results are mapped and shown to be in full agreement with the
corresponding expressions given in a recent holographic study by Bzowski,
McFadden and Skenderis. In the 4-T case we present the completely traced
amplitude plus all the contact terms. These are expected to appear in a fourth
order extension of the holographic formulas for the 4-point functions of scalar
metric perturbations.Comment: 29 pages, 3 figure
Conformal Regge theory

We generalize Regge theory to correlation functions in conformal field
theories. This is done by exploring the analogy between Mellin amplitudes in
AdS/CFT and S-matrix elements. In the process, we develop the conformal partial
wave expansion in Mellin space, elucidating the analytic structure of the
partial amplitudes. We apply the new formalism to the case of four point
correlation functions between protected scalar operators in N=4 Super Yang
Mills, in cases where the Regge limit is controlled by the leading twist
operators associated to the pomeron-graviton Regge trajectory. At weak
coupling, we are able to predict to arbitrary high order in the 't Hooft
coupling the behaviour near J=1 of the OPE coefficients C_{OOJ} between the
external scalars and the spin J leading twist operators. At strong coupling, we
use recent results for the anomalous dimension of the leading twist operators
to improve current knowledge of the AdS graviton Regge trajectory - in
particular, determining the next and next to next leading order corrections to
the intercept. Finally, by taking the flat space limit and considering the
Virasoro-Shapiro S-matrix element, we compute the strong coupling limit of the
OPE coefficient C_{LLJ} between two Lagrangians and the leading twist operators
of spin J.Comment: 27 + 24 pages, 7 figures; v2 Typos corrected, references added; v3
  Typo corrected; v4 Typos corrected, references adde
String Theory Versus Black Hole Complementarity

It is argued that string theory on the Euclidean version of the Schwarzschild
black hole -- the cigar geometry -- admits a zero mode that is localized at the
tip of the cigar. The presence of this mode implies that in string theory,
unlike in general relativity, the tip of the cigar is a special region. This is
in tension with the Euclidean version of the black hole complementarity
principle. We provide some qualitative arguments that link between this zero
mode and the origin of the black hole entropy and firewall at the horizon.Comment: 8 page
Plasma photoemission from string theory

Leading 't Hooft coupling corrections to the photoemission rate of the planar
limit of a strongly-coupled {\cal {N}}=4 SYM plasma are investigated using the
gauge/string duality. We consider the full order \alpha'^3 type IIB string
theory corrections to the supergravity action, including higher order terms
with the Ramond-Ramond five-form field strength. We extend our previous results
presented in arXiv:1110.0526. Photoemission rates depend on the 't Hooft
coupling, and their curves suggest an interpolating behaviour from strong
towards weak coupling regimes. Their slopes at zero light-like momentum give
the electrical conductivity as a function of the 't Hooft coupling, in full
agreement with our previous results of arXiv:1108.6306. Furthermore, we also
study the effect of corrections beyond the large N limit.Comment: 36 pages, 5 figures, paragraph added in the conclusions, references
  added, typos correcte
A Minimal Model of Neutrino Flavor

Models of neutrino mass which attempt to describe the observed lepton mixing
pattern are typically based on discrete family symmetries with a non-Abelian
and one or more Abelian factors. The latter so-called shaping symmetries are
imposed in order to yield a realistic phenomenology by forbidding unwanted
operators. Here we propose a supersymmetric model of neutrino flavor which is
based on the group T7 and does not require extra Z_N or U(1) factors, which
makes it the smallest realistic family symmetry that has been considered so
far. At leading order, the model predicts tribimaximal mixing which arises
completely accidentally from a combination of the T7 Clebsch-Gordan
coefficients and suitable flavon alignments. Next-to-leading order (NLO)
operators break the simple tribimaximal structure and render the model
compatible with the recent results of the Daya Bay and Reno collaborations
which have measured a reactor angle of around 9 degrees. Problematic NLO
deviations of the other two mixing angles can be controlled in an ultraviolet
completion of the model
Baryon electric dipole moments from strong CP violation

The electric dipole form factors and moments of the ground state baryons are calculated in chiral perturbation theory at next-to-leading order. We show that the baryon electric dipole form factors at this order depend only on two combinations of low-energy constants. We also derive various relations that are free of unknown low-energy constants. We use recent lattice QCD data to calculate all baryon EDMs. In particular, we find d_n = -2.9\pm 0.9 and d_p = 1.1\pm 1.1 in units of 10^{-16} e \theta_0 cm. Finite volume corrections to the moments are also worked out. We show that for a precision extraction from lattice QCD data, the next-to-leading order terms have to be accounted for
Holographic Renormalization of Asymptotically Flat Gravity

We compute the boundary stress tensor associated with Mann-Marolf counterterm
in asymptotic flat and static spacetime for cylindrical boundary surface as $r
\rightarrow \infty$, and find that the form of the boundary stress tensor is
the same as the hyperbolic boundary case in 4 dimensions, but has additional
terms in higher than 4 dimensions. We find that these additional terms are
impotent and do not contribute to conserved charges. We also check the
conservation of the boundary stress tensor in a sense that $\mathcal{D}^a
T_{ab} = 0$, and apply our result to the ($n+3$)-dimensional static black hole
solution. As a result, we show that the stress boundary tensor with Mann-Marolf
counterterm works well in standard boundary surfaces.Comment: 27 page
M5/D4 brane partition function on a circle bundle

We consider Abelian M5 brane on a six-manifold which we take as a circle
bundle over a five-manifold $M$. We compute the zero mode part of the M5 brane
partition function using Chern-Simons theory and Hamiltonian formulation
respectively and find an agreement. We also show that the D4 brane on $M$
shares exactly the same zero mode partition function again using the
Hamiltonian formulation. For the oscillator modes we find that KK modes
associated with the circle compactification are missing from the D4 brane. By
making an infinitesimal noncommutative deformation we have instanton threshold
bound states. We explicitly compute the instanton partition function up to
instanton charge three, and show a perfect match with a corresponding
contribution inside the M5 brane partition function, thus providing a very
strong supporting evidence that D4 brane is identical with M5 brane which
extends beyond the BPS sector. We comment on the modular properties of the M5
brane partition function when compactified on $T^2$ times a four-manifold. We
briefly discuss a case of a singular fibration.Comment: 55 page
The Dimensional Recurrence and Analyticity Method for Multicomponent
  Master Integrals: Using Unitarity Cuts to Construct Homogeneous Solutions

We consider the application of the DRA method to the case of several master
integrals in a given sector. We establish a connection between the homogeneous
part of dimensional recurrence and maximal unitarity cuts of the corresponding
integrals: a maximally cut master integral appears to be a solution of the
homogeneous part of the dimensional recurrence relation. This observation
allows us to make a necessary step of the DRA method, the construction of the
general solution of the homogeneous equation, which, in this case, is a coupled
system of difference equations.Comment: 17 pages, 2 figure
Measurement of the top-quark mass in t̄t events with lepton+jets final states in pp collisions at √s =7 TeV

The mass of the top quark is measured using a sample of t̄t candidate events with one electron or muon and at least four jets in the final state, collected by CMS in pp collisions at √s =7 TeV at the LHC. A total of 5174 candidate events is selected from data corresponding to an integrated luminosity of 5.0 fb-1. For each event the mass is reconstructed from a kinematic fit of the decay products to a t̄t hypothesis. The top-quark mass is determined simultaneously with the jet energy scale (JES), constrained by the known mass of the W boson in q̄q decays, to be 173.49 ± 0.43 (stat. + JES) ±0.98 (syst.) GeV. © 2012 CERN for the benefit of the CMS collaboration.The Scientific and Technical Research Council of Turkey, and Turkish Atomic Energy Authorit
All G_2 invariant critical points of maximal supergravity

We perform an exhaustive classification of G_2 invariant extrema of the most
general gauged N=8 supergravity in four dimensions. They comprise four branches
of Anti-de Sitter solutions labelled by a single parameter. Interestingly,
while the gauge groups vary with the parameters, the mass spectra are
invariant. One of these is a new non-supersymmetric yet stable point. Our
analysis includes the recently proposed family of SO(8) gauged supergravities
and more.Comment: 5 pages. v2: extended discussion of vector masses and gauge groups
  and refs adde
Simple and direct communication of dynamical supersymmetry breaking

We present a complete, calculable, and phenomenologically viable model of dynamical supersymmetry breaking. The model is a simple extension of the so called 3- 2 model, with gauge group SU(3) × SU(2) × GSM and the MSSM fields directly coupled to the hidden sector SU(2) vector fields. Sfermion masses are universal, thus solving the supersymmetric flavour problem, and gaugino masses are not suppressed, in fact they are predicted to be of the same order as sfermion masses. Sizeable contributions to the MSSM A-terms can be generated, depending on the size of some free couplings. As a byproduct, we show some properties of a class of models with n pairs of Higgs doublets
The Reactor Anomaly after Daya Bay and RENO

Gallium and short baseline reactor neutrino experiments indicate a
short-distance anomalous disappearance of electron antineutrinos which, if
interpreted in terms of neutrino oscillations, would lead to a sterile neutrino
mass inconsistent with standard cosmological models. This anomaly is difficult
to measure at 1 km baseline experiments because its disappearance effects are
degenerate with that of theta_13. The flux normalization independent
measurement of theta_13 at Daya Bay breaks this degeneracy, allowing an
unambiguous differentiation of 1-3 neutrino oscillations and the anomalous
disappearance at Double Chooz and RENO. The resulting anomaly is consistent
with that found at very short baselines and suggests a downward revision of
RENO's result for theta_13. A MCMC global analysis of current cosmological data
shows that a quintom cosmology is just compatible at 2 sigma with a sterile
neutrino with the right mass to reproduce the reactor anomaly and to a lesser
extent the gallium and LSND/MiniBooNE anomalies. However models in which the
sterile neutrino acquires a chameleon mass easily satisfy the cosmological
bounds and also reduce the tension between LSND and KARMEN.Comment: 21 pages, 7 figures, v2 uses RENO results from nuTURN and Daya Bay
  results from Neutrino 201
Exclusive final states in diffractive excitation

In this paper we describe a formalism for generating exclusive final states
in diffractive excitation, based on the optical analogy where diffraction is
fully determined by the absorption into inelastic channels. The formalism is
based on the Good--Walker formalism for diffractive excitation, and it is
assumed that the virtual parton cascades represent the diffractive eigenstates
defined by a definite absorption amplitude. We emphasize that, although
diffractive excitation is basically a quantum-mechanical phenomenon with strong
interference effects, it is possible to calculate the different interfering
components to the amplitude in an event generator, add them and thus calculate
the reaction cross section for exclusive diffractive final states. The
formalism is implemented in the DIPSY event generator, introducing no tunable
parameters beyond what has been determined previously in studies of
non-diffractive events. Some early results from DIS and proton-proton
collisions are presented, and compared to experimental data
Special colored Superpolynomials and their representation-dependence

We introduce the notion of "special superpolynomials" by putting q=1 in the
formulas for reduced superpolynomials. In this way we obtain a generalization
of special HOMFLY polynomials depending on one extra parameter t. Special
HOMFLY are known to depend on representation R in especially simple way: as
|R|-th power of the fundamental ones. We show that the same dependence persists
for our special superpolynomials in the case of symmetric representations, at
least for the 2-strand torus and figure-eight knots. For antisymmetric
representations the same is true, but for t=1 and arbitrary q. It would be
interesting to find an interpolation between these two relations for arbitrary
representations, but no superpolynomails are yet available in this case.Comment: 5 page
Correlations of the elements of the neutrino mass matrix

Assuming Majorana nature of neutrinos, we re-investigate, in the light of the
recent measurement of the reactor mixing angle, the allowed ranges for the
absolute values of the elements of the neutrino mass matrix in the basis where
the charged-lepton mass matrix is diagonal. Apart from the derivation of upper
and lower bounds on the values of the matrix elements, we also study their
correlations. Moreover, we analyse the sensitivity of bounds and correlations
to the global fit results of the neutrino oscillation parameters which are
available in the literature.Comment: 37 pages, 146 figures, minor corrections, 17 additional figures,
  version for publication in JHE
OPE of the energy-momentum tensor correlator in massless QCD

We analytically calculate higher order corrections to coefficient functions
of the operator product expansion (OPE) for the Euclidean correlator of two
energy-momentum tensors in massless QCD. These are the three-loop contribution
to the coefficient C_0 in front of the unity operator O_0=1 and the one and
two-loop contributions to the coefficient C_1 in front of the gluon
"condensate" operator O_1=-1/4 G^{\mu \nu} G_{\mu \nu}. For the correlator of
two operators O_1 we present the coefficient C_1 at two-loop level.Comment: v2: comments and appendix added, results are now available in
  computer readable form; v3: JHEP version, extended discussion of the method
  of projector
Correlation functions in the holographic replica method

Disorder has long been a difficult subject in condensed matter systems and
the The replica method is a well-known tool in this field. Implementing the
replica method the AdS/CFT correspondence has been proposed and discussed in
literatures. We point out, for any CFT that has a holographic dual and to the
leading order of the large-N expansion, the corrections due to the presence of
random disorder to any connected correlation functions vanish identically,
provided that the disorder strength is normalized as discussed in literatures
and that the symmetry among replicas is unbroken. Same must hold true to any
observables that are determined by the connected correlation functions through
a linear relation. This behavior resembles strongly that of a free theory where
disorder is coupled to the fundamental field. We demonstrate this by both the
means of holographic principle and field theory analysis in a toy model. We
also propose ways of evaluating the non-zero sub-leading effects perturbatively
in terms of the disorder strength and discuss a novel possibility of defining a
new holographic dual if we adopt a different normalization for the disorder
strength.Comment: 24 page
Global fit to three neutrino mixing: critical look at present precision

We present an up-to-date global analysis of solar, atmospheric, reactor, and
accelerator neutrino data in the framework of three-neutrino oscillations. We
provide results on the determination of theta_13 from global data and discuss
the dependence on the choice of reactor fluxes. We study in detail the
statistical significance of a possible deviation of theta_23 from maximal
mixing, the determination of its octant, the ordering of the mass states, and
the sensitivity to the CP violating phase, and discuss the role of various
complementary data sets in those respects.Comment: 23 pages, 7 figures. v3: final version to appear in JHEP. Updated
  results will be provided at http://www.nu-fit.or
First observation of the decay $B^{+} \rightarrow π^{+} μ^{+} μ^{-}$

A discovery of the rare decay $B^{+} \rightarrow \pi^{+} \mu^{+} \mu^{-}$ is presented. This decay is observed for the first time, with 5.2 $\sigma$ significance. The observation is made using $pp$ collision data, corresponding to an integrated luminosity of 1.0 fb$^{-1}$, collected with the LHCb detector. The measured branching fraction is (2.3 $\pm$ 0.6 (stat.) $\pm$ 0.1 (syst.))$\times 10^{-8}$, and the ratio of the $B^{+} \rightarrow \pi^{+} \mu^{+} \mu^{-}$ and $B^{+} \rightarrow \K^{+} \mu^{+} \mu^{-}$ branching fractions is measured to be 0.053 $\pm$ 0.014 (stat.) $\pm$ 0.001 (syst.)
Supersymmetric Gauge Theories on a Squashed Four-Sphere

We define a squashed four-sphere by a dimensional reduction of a twisted S^4
x S^1, and construct explicitly a supersymmetric Yang-Mills action on it. The
action includes a non-trivial dilaton factor and a theta term with a
non-constant theta. The partition function of this theory is calculated using
the localization technique. The resulting partition function can be written in
the form consistent with the AGT relation due to the non-constant theta term.
The parameter b which characterizes the partition function in this form is not
restricted to be real for the squashed four-sphere.Comment: 35 pages, no figures. v2: typos corrected, references adde
Realizing chiral fermions in the type IIB matrix model at finite N

We discuss how chiral fermions can appear in the type IIB matrix model, which
is considered to be a nonperturbative formulation of superstring theory. In
particular, we are concerned with a constructive definition of the theory, in
which we start with a finite-N configuration and take the large-N limit later
on. We point out that there exists a certain necessary condition which the
structure of the extra dimensions should satisfy. As an example, we consider a
previous proposal using intersecting branes and show that chiral fermions can
indeed be realized in four dimensions by introducing a matrix counterpart of
warped space-time. This is remarkable in view of the well-known difficulty in
realizing chiral fermions in lattice gauge theory.Comment: 4 pages, 2 figures; (v2) analysis in section 3 improve