pinecone/core-2020-05-10-deduplication huggingface dataset:
Non-linear Representations of the Conformal Group and Mapping of
  Galileons

There are two common non-linear realizations of the 4D conformal group: in
the first, the dilaton is the conformal factor of the effective metric
\eta_{\mu\nu} e^{-2 \pi}; in the second it describes the fluctuations of a
brane in AdS_5. The two are related by a complicated field redefinition, found
by Bellucci, Ivanov and Krivonos (2002) to all orders in derivatives. We show
that this field redefinition can be understood geometrically as a change of
coordinates in AdS_5. In one gauge the brane is rigid at a fixed radial
coordinate with a conformal factor on the AdS_5 boundary, while in the other
one the brane bends in an unperturbed AdS_5. This geometrical picture
illuminates some aspects of the mapping between the two representations. We
show that the conformal Galileons in the two representations are mapped into
each other in a quite non-trivial way: the DBI action, for example, is mapped
into a complete linear combination of all the five Galileons in the other
representation. We also verify the equivalence of the dilaton S-matrix in the
two representations and point out that the aperture of the dilaton light-cone
around non-trivial backgrounds is not the same in the two representations.Comment: 16 pages. v2: typos corrected (notably eq 4.5), matches JHEP versio
Resurgence theory, ghost-instantons, and analytic continuation of path
  integrals

A general quantum mechanical or quantum field theoretical system in the path
integral formulation has both real and complex saddles (instantons and
ghost-instantons). Resurgent asymptotic analysis implies that both types of
saddles contribute to physical observables, even if the complex saddles are not
on the integration path i.e., the associated Stokes multipliers are zero. We
show explicitly that instanton-anti-instanton and ghost--anti-ghost saddles
both affect the expansion around the perturbative vacuum. We study a self-dual
model in which the analytic continuation of the partition function to negative
values of coupling constant gives a pathological exponential growth, but a
homotopically independent combination of integration cycles (Lefschetz
thimbles) results in a sensible theory. These two choices of the integration
cycles are tied with a quantum phase transition. The general set of ideas in
our construction may provide new insights into non-perturbative QFT, string
theory, quantum gravity, and the theory of quantum phase transitions.Comment: 35 pages, 10 figures, v2: references adde
Measurement of the differential cross-section of B+ meson production in
  pp collisions at sqrt(s) = 7 TeV at ATLAS

The production cross-section of B+ mesons is measured as a function of
transverse momentum pT and rapidity y in proton--proton collisions at
center-of-mass energy sqrt(s) = 7 TeV, using 2.4 fb-1 of data recorded with the
ATLAS detector at the Large Hadron Collider. The differential production
cross-sections, determined in the range 9<pT<120 GeV and y<2.25, are compared
to next-to-leading-order theoretical predictions.Comment: 20 pages plus author list (44 pages total), 6 figures, 5 tables,
  submitted to JHEP. Version corresponds to published paper. All figures
  including auxiliary figures are available at
  https://atlas.web.cern.ch/Atlas/GROUPS/PHYSICS/PAPERS/BPHY-2012-0
Masses, mixing angles and phases of general Majorana neutrino mass
  matrix

General Majorana neutrino mass matrix is complex symmetric and for three
generations of neutrinos it contains 12 real parameters. We diagonalize this
general neutrino mass matrix and express the three neutrino masses, three
mixing angles, one Dirac CP phase and two Majorana phases (removing three
unphysical phases) in terms of the neutrino mass matrix elements. We apply the
results in the context of a neutrino mass matrix derived from a broken cyclic
symmetry invoking type-I seesaw mechanism. Phenomenological study of the above
mass matrix allows enough parameter space to satisfy the neutrino oscillation
data with only 10% breaking of this symmetry. In this model only normal mass
hierarchy is allowed. In addition, the Dirac CP phase and the Majorana phases
are numerically estimated. $\Sigma m_i$ and $|m_{\nu_{ee}}|$ are also
calculated.Comment: 24 pages, 3 figure
Probing higher spin black holes from CFT

In a class of 2D CFTs with higher spin symmetry, we compute thermal two-point
functions of certain scalar primary operators in the presence of nonzero
chemical potential for higher spin charge. These are shown to agree with the
same quantity calculated holographically using scalar fields propagating in a
charged black hole background of 3D higher spin gravity. This match serves as
further evidence for the duality between W_N minimal models at large central
charge and 3D higher spin gravity. It also supports a recent prescription for
computing boundary correlators of multi-trace scalar primary operators in
higher spin theories.Comment: 34 pages, 1 figur
Pair production of a 125 GeV Higgs boson in MSSM and NMSSM at the ILC

In this work we investigate the Higgs pair production in the MSSM and NMSSM
at the photon-photon collision of the ILC. We consider various experimental
constraints and scan over the parameter space of the MSSM and NMSSM. Then we
calculate the cross section of Higgs pair production in the allowed parameter
space and compare the results with the predictions in the SM. We find that the
large enhancement of the cross section in the MSSM is mainly due to the
contributions from the loops mediated by the stau, while in the NMSSM it is
mainly due to the contributions from the top-squark loops. For light
$m_{\tilde{\tau}_1}$ and large $\mu\tan\beta$, the production rate can be
enhanced by a factor of 18 in the MSSM (relative to the SM prediction). And for
a large trilinear soft breaking parameter $A_t$ and a moderately light
top-squark, it can also be enhanced by a factor of 2 in the NMSSM. Moreover, we
also calculate the $\chi^2$ values with the LHC Higgs data and display the
results for the parameter space with $\chi^2$ better than the SM value.Comment: 14 pages, 6 figure
S-duality and the N=2 Lens Space Index

We discuss some of the analytic properties of lens space indices for 4d N=2
theories of class S. The S-duality properties of these theories highly
constrain the lens space indices, and imply in particular that they are
naturally acted upon by a set of commuting difference operators corresponding
to surface defects. We explicitly identify the difference operators to be a
matrix-valued generalization of the elliptic Ruijsenaars-Schneider model. In a
special limit these difference operators can be expressed naturally in terms of
Cherednik operators appearing in the double affine Hecke algebras, with the
eigenfunctions given by non-symmetric Macdonald polynomials.Comment: 33 pages, 3 figures, harvmac. v2: minor correction
Proton Decay and the Origin of Quark and Lepton Mixing

It was recently proposed that all flavor mixing has a single source, namely
the mixing of the three quark and lepton families with "extra" vectorlike
fermions in 5 + 5-bar multiplets of SU(5). This was shown to lead to several
testable predictions including neutrino masses and CP-violating phases. Here it
is shown that the mixing angles within grand unified fermion multiplets are
also predicted. Proton decay branching ratios would thus give several
independent tests of the model. Certain model parameters could be determined
independently from the quark and lepton spectrum and from proton decay.Comment: 13 page
BRST technique for the cosmological density matrix

The microcanonical density matrix in closed cosmology has a natural
definition as a projector on the space of solutions of Wheeler-DeWitt
equations, which is motivated by the absence of global non-vanishing charges
and energy in spatially closed gravitational systems. Using the BRST/BFV
formalism in relativistic phase space of gauge and ghost variables we derive
the path integral representation for this projector and the relevant
statistical sum. This derivation circumvents the difficulties associated with
the open algebra of noncommutative quantum Dirac constraints and the
construction/regularization of the physical inner product in the subspace of
BRS singlets. This inner product is achieved via the Batalin-Marnelius gauge
fixing in the space of BRS-invariant states, which in its turn is shown to be a
result of truncation of the BRST/BFV formalism to the "matter" sector of
relativistic phase space.Comment: 13 pages, LaTe
Three-BMN Correlation Functions: Integrability vs. String Field Theory
  One-Loop Mismatch

We compare calculations of the three-point correlation functions of BMN
operators at the one-loop (next-to-leading) order in the scalar SU(2) sector
from the integrability expression recently suggested by Gromov and Vieira, and
from the string field theory expression based on the effective interaction
vertex by Dobashi and Yoneya. A disagreement is found between the form-factors
of the correlation functions in the one-loop contributions. The order-of-limits
problem is suggested as a possible explanation of this discrepancy.Comment: 18 page
The minimal adjoint-SU (5) x Z(4) GUT model

An extension of the adjoint SU (5) model with a flavour symmetry based on the Z(4) group is investigated. The Z(4) symmetry is introduced with the aim of leading the up-and down-quark mass matrices to the Nearest-Neighbour-Interaction form. As a consequence of the discrete symmetry embedded in the SU (5) gauge group, the charged lepton mass matrix also gets the same form. Within this model, light neutrinos get their masses through type-I, type-III and one-loop radiative seesaw mechanisms, implemented, respectively, via a singlet, a triplet and an octet from the adjoint fermionic 24 fields. It is demonstrated that the neutrino phenomenology forces the introduction of at least three 24 fermionic multiplets. The symmetry SU (5) x Z(4) allows only two viable zero textures for the effective neutrino mass matrix. It is showed that one texture is only compatible with normal hierarchy and the other with inverted hierarchy in the light neutrino mass spectrum. Finally, it is also demonstrated that Z(4) freezes out the possibility of proton decay through exchange of coloured Higgs triplets at tree-level
Radiative corrections to the composite Higgs mass from a gluon partner

In composite Higgs models light fermionic top partners often play an
important role in obtaining a 126 GeV Higgs mass. The presence of these top
partners implies that coloured vector mesons, or massive gluon partners, most
likely exist. Since the coupling between the top partners and gluon partners
can be large there are then sizeable two-loop contributions to the composite
Higgs mass. We compute the radiative correction to the Higgs mass from a gluon
partner in the minimal composite Higgs model and show that the Higgs mass is in
fact reduced. This allows the top partner masses to be increased, easing the
tension between having a light composite Higgs and heavy top partners.Comment: 19 pages, 8 figures. V2: typos corrected, references added, version
  published in JHE
A unified phase transition picture of the charged topological black hole
  in Horava-Lifshitz gravity

Aiming at a unified phase transition picture of the charged topological black
hole in Ho\v{r}ava-Lifshitz gravity, we investigate this issue not only in
canonical ensemble with the fixed charge case but also in grand-canonical
ensemble with the fixed potential case. We firstly perform the standard
analysis of the specific heat, the free energy and the Gibbs potential, and
then study its geometrothermodynamics. It is shown that the local phase
transition points not only witness the divergence of the specific heat, but
also witness the minimum temperature and the maximum free energy or Gibbs
potential. They also witness the divergence of the corresponding thermodynamic
scalar curvature. No matter which ensemble is chosen, the metric constructed
can successfully produce the behavior of the thermodynamic interaction and
phase transition structure while other metrics failed to predict the phase
transition point of the charged topological black hole in former literature. In
grand-canonical ensemble, we have discovered the phase transition which has not
been reported before. It is similar to the canonical ensemble in which the
phase transition only takes place when $k=-1$. But it also has its unique
characteristics that the location of the phase transition point depends on the
value of potential, which is different from the canonical ensemble where the
phase transition point is independent of the parameters. After an analytical
check of Ehrenfest scheme, we find that the new phase transition is a second
order one. It is also found that the thermodynamics of the black hole in
Horava-Lifshitz gravity is quite different from that in Einstein gravity.Comment: 24pages,11figure
Gauged supergravities and non-geometric Q/R-fluxes from asymmetric
  orbifold CFT's

We investigate the orbifold limits of string theory compactifications with
geometric and non-geometric fluxes. Exploiting the connection between internal
fluxes and structure constants of the gaugings in the reduced supergravity
theory, we can identify the types of fluxes arising in certain classes of
freely-acting symmetric and asymmetric orbifolds. We give a general procedure
for deriving the gauge algebra of the effective gauged supergravity using the
exact CFT description at the orbifold point. We find that the asymmetry is, in
general, related to the presence of non-geometric Q- and R- fluxes. The action
of T-duality is studied explicitly on various orbifold models and the resulting
transformation of the fluxes is derived. Several explicit examples are
provided, including compactifications with geometric fluxes, Q-backgrounds
(T-folds) and R-backgrounds. In particular, we present an asymmetric Z4xZ2
orbifold in which all geometric and non-geometric fluxes {\omega}, H, Q, R are
turned on simultaneously. We also derive the corresponding flux backgrounds,
which are not in general T-dual to geometric ones, and may even simultaneously
depend non-trivially on both the coordinates and their winding T-duals.Comment: 49p, updated reference
The Structure of Non-Abelian Kinks

We consider a class of integrable quantum field theories in 1+1 dimensions
whose classical equations have kink solutions with internal collective
coordinates that transform under a non-abelian symmetry group. These
generalised sine-Gordon theories have been shown to be related to the world
sheet theory of the string in the AdS/CFT correspondence. We provide a careful
analysis of the boundary conditions at spatial infinity complicated by the fact
that they are defined by actions with a WZ term. We go on to describe the local
and non-local charges carried by the kinks and end by showing that their
structure is perfectly consistent with the exact factorizable S-matrices that
have been proposed to describe these theories.Comment: 41 pages, more typos correcte
Non Supersymmetric Metastable Vacua in N=2 SYM Softly Broken to N=1

We find non-supersymmetric metastable vacua in four dimensional N=2 gauge
theories softly broken to N=1 by a superpotential term. First we study the
simplest case, namely the SU(2) gauge theory without flavors. We study the
spectrum and lifetime of the metastable vacuum and possible embeddings of the
model in UV complete theories. Then we consider larger gauge group theories
with flavors. We show that when we softly break them to N=1, the potential
induced on specific submanifolds of their moduli space is identical to the
potential in lower rank gauge theories. Then we show that the potential
increases when we move away from this submanifold, allowing us to construct
metastable vacua on them in the theories that can be reduced to the SU(2) case.Comment: 29 pages, 10 figure
Fermionic Wigs for AdS-Schwarzschild Black Holes

We provide the metric, the gravitino fields and the gauge fields to all
orders in the fermionic zero modes for D=5 and D=4, N=2 gauged supergravity
solutions starting from non-extremal AdS--Schwarzschild black holes. We compute
the Brown-York stress--energy tensor on the boundary of AdS_5 / AdS_4 spaces
and we discuss some implications of the fermionic corrections to perfect fluid
interpretation of the boundary theory. The complete non-linear solution, which
we denote as fermionic wig, is achieved by acting with supersymmetry
transformations upon the supergravity fields and that expansion naturally
truncates at some order in the fermionic zero modes.Comment: 27 pages, Latex2e, no figures, 3 ancillary file
Scattering in AdS(2)/CFT(1) and the BES Phase

We study worldsheet scattering for the type IIA superstring in AdS(2) x S(2)
x T(6). Using the Green--Schwarz action to quartic order in fermions we take
the near-BMN limit, where as in the AdS(3)/CFT(2) case there are both massive
and massless excitations. For the massive excitations we compute all possible
tree-level processes, and show that these agree with a truncated version of the
exact AdS(5) x S(5) S-matrix. We also compute several S-matrix elements
involving massless excitations. At one loop we find that the dressing phase is
the same Hernandes-Lopez phase appearing in AdS(5)/CFT(4). We see the same
phase when calculating this by semiclassical means using the PSU(1,1|2)/U(1)^2
coset sigma model, for which we can also study the scattering of fermions. This
supports the conjecture that the all-loop dressing phase is again the BES
phase, rather than a new phase like that seen in AdS(3)/CFT(2).Comment: 21 pages. v2 corrects one sign error; version to appear in JHE
The same-sign top signature of R-parity violation

Baryonic R-parity violation could explain why low-scale supersymmetry has not
yet been discovered at colliders: sparticles would be hidden in the intense
hadronic activity. However, if the known flavor structures are any guide, the
largest baryon number violating couplings are those involving the top/stop, so
a copious production of same-sign top-quark pairs is in principle possible.
Such a signal, with its low irreducible background and efficient identification
through same-sign dileptons, provides us with tell-tale signs of baryon number
violating supersymmetry. Interestingly, this statement is mostly independent of
the details of the supersymmetric mass spectrum. So, in this paper, after
analyzing the sparticle decay chains and lifetimes, we formulate a simplified
benchmark strategy that covers most supersymmetric scenarios. We then use this
information to interpret the same-sign dilepton searches of CMS, draw
approximate bounds on the gluino and squark masses, and extrapolate the reach
of the future 14 TeV runs.Comment: 32 pages, 12 figures, 3 tables, 1 appendi
Note on Construction of Dual-trace Factor in Yang-Mills Theory

In this note we provide a new construction of BCJ dual-trace factor using the
kinematic algebra proposed in arXiv:1105.2565 and arXiv:1212.6168. Different
from the construction given in arXiv:1304.2978 based on the proposal of
arXiv:1103.0312, the method used in this note exploits the adjoint
representation of kinematic algebra and the use of inner product in dual space.
The dual-trace factor defined in this way naturally satisfies cyclic symmetry
condition but not KK-relation, just like the trace of U(N) Lie algebra
satisfies cyclic symmetry condition, but not KK-relation. In other words the
new construction naturally leads to formulation sharing more similarities with
the color decomposition of Yang-Mills amplitude.Comment: 15 pages, improved versio
On the power spectrum of inflationary cosmologies dual to a deformed CFT

We analyse slow-roll inflationary cosmologies that are holographically dual
to a three-dimensional conformal field theory deformed by a nearly marginal
scalar operator. We show the cosmological power spectrum is inversely
proportional to the spectral density associated with the 2-point function of
the trace of the stress tensor in the deformed CFT. Computing this quantity
using second-order conformal perturbation theory, we obtain a holographic power
spectrum in exact agreement with the expected inflationary power spectrum to
second order in slow roll.Comment: 26 pp, 4 fig
Enhancements of weak gauge boson scattering processes at the CERN LHC

Current CERN Large Hadron Collider data on the 126 GeV standard model-like
Higgs boson suggest the possibility of larger Higgs boson couplings with the
weak gauge bosons, $g_{hVV}$, than those in the standard model. We use the
Georgi-Machacek model as an explicit model to realize such a scenario. We find
that the $g_{hVV}$ couplings can be larger than the standard model value by a
factor of about 1.3 maximally in the parameter region consistent with the
current Higgs boson search data and allowed by various other constraints. We
then show how the modified $g_{hVV}$ couplings lead to enhancements in various
weak boson scattering processes. This can be clearly observed as excesses in
the transverse mass distributions at around 126 GeV and also the mass of heavy
Higgs bosons.Comment: 18 pages, 14 figure
Conformal supergravity in three dimensions: Off-shell actions

Using the off-shell formulation for N-extended conformal supergravity in
three dimensions, which has recently been presented in arXiv:1305.3132, we
construct superspace actions for conformal supergravity theories with N<6. For
each of the cases considered, we work out the complete component action as well
as the gauge transformation laws of the fields belonging to the Weyl
supermultiplet. The N=1 and N=2 component actions derived coincide with those
proposed by van Nieuwenhuizen and Rocek in the mid-1980s. The off-shell N=3,
N=4 and N=5 supergravity actions are new results. Upon elimination of the
auxiliary fields, these actions reduce to those constructed by Lindstrom and
Rocek in 1989 (and also by Gates and Nishino in 1993).Comment: 47 pages; v2: published versio
S-duality invariant dilaton couplings at order $\alpha'^3$

The Riemann curvature correction to the type II supergravity at
eight-derivative level is given schematically as
$(t_8t_8+{1}{8}\eps_{10}\eps_{10})R^4$ at tree-level. The replacement of the
generalized Riemann curvature in $t_8t_8R^4$, proposed by Gross and Sloan,
produces various NS-NS couplings which are invariant under T-duality. Recently,
using the combination of S-duality and T-duality transformations on these
couplings, we have found groups of couplings which are invariant under the
S-duality transformation. In this paper, we have examined the couplings
involving the dilaton with direct scattering amplitude calculations of four
NS-NS vertex operators in the superstring theory and found exact agreement.
  The coupling $\eps_{10}\eps_{10}R^4$ is a total derivative term at four-field
level. The $\sigma$-model beta function approach implies the presence of this
term at the tree-level. By examining the sphere-level scattering amplitude of
five gravitons, we have also confirmed the presence of this term in the
tree-level effective action.Comment: 15 pages, Latex file, no figure; v4: the version appears in JHE
Searching for New Physics in the Three-Body Decays of the Higgs-like
  Particle

We show that the three-body decays of the resonance recently discovered at
the LHC are potentially sensitive to effects of new physics. Even if the fully
integrated partial decay widths are consistent with the minimal Standard Model
there is information that is lost upon integration, which can be uncovered in
the differential decay widths. Concentrating on the decay $h \to Z \ell
\bar{\ell}$, we identify the regions in the three-body phase space in which
these effects become especially pronounced and could be detected in future
experiments.Comment: 20 pages, 5 figures, matches version published in JHE