pinecone/core-2020-05-10-deduplication huggingface dataset:
Supersymmetric Backgrounds, the Killing Superalgebra, and Generalised
  Special Holonomy

We prove that, for M theory or type II, generic Minkowski flux backgrounds
preserving $\mathcal{N}$ supersymmetries in dimensions $D\geq4$ correspond
precisely to integrable generalised $G_{\mathcal{N}}$ structures, where
$G_{\mathcal{N}}$ is the generalised structure group defined by the Killing
spinors. In other words, they are the analogues of special holonomy manifolds
in $E_{d(d)} \times\mathbb{R}^+$ generalised geometry. In establishing this
result, we introduce the Kosmann-Dorfman bracket, a generalisation of Kosmann's
Lie derivative of spinors. This allows us to write down the internal sector of
the Killing superalgebra, which takes a rather simple form and whose closure is
the key step in proving the main result. In addition, we find that the
eleven-dimensional Killing superalgebra of these backgrounds is necessarily the
supertranslational part of the $\mathcal{N}$-extended super-Poincar\'e algebra.Comment: 34 page
Non-geometric Five-branes in Heterotic Supergravity

We study T-duality chains of five-branes in heterotic supergravity where the
first order $\alpha'$-corrections are present. By performing the
$\alpha'$-corrected T-duality transformations of the heterotic NS5-brane
solutions, we obtain the KK5-brane and the exotic $5^2_2$-brane solutions
associated with the symmetric, the neutral and the gauge NS5-branes. We find
that the Yang-Mills gauge field in these solutions satisfies the self-duality
condition in the three- and two-dimensional transverse spaces to the brane
world-volumes. The $O(2,2)$ monodromy structures of the $5^2_2$-brane solutions
are investigated by the $\alpha'$-corrected generalized metric. Our analysis
shows that the symmetric $5^2_2$-brane solution, which satisfies the standard
embedding condition, is a T-fold and it exhibits the non-geometric nature. We
also find that the neutral $5^2_2$-brane solution is a T-fold at least at
$\mathcal{O} (\alpha')$. On the other hand, the gauge $5^2_2$-brane solution is
not a T-fold but show unusual structures of space-time.Comment: 26 pages, 1 figure, a reference added, typos corrected, publish
  versio
Baryogenesis of the Universe in cSMCS Model plus Iso-Doublet Vector
  Quark

CP violation of the SM is insufficient to explain the baryon asymmetry in the
universe and therefore an additional source of CP violation is needed. Here the
extension of the SM by a neutral complex scalar singlet with a nonzero vacuum
expectation value (cSMCS) plus a heavy vector quark pair is considered. This
model offers the spontaneous CP violation and proper description in the
baryogenesis, it leads strong enough first-order electro-weak phase transition
to suppress the baryon-violating sphaleron process.Comment: Typos in the caption Fig. 2 and Eq.(26) are corrected and
  acknowledgment has been adde
Non-perturbative scalar potential inspired by type IIA strings on rigid
  CY

Motivated by a class of flux compactifications of type IIA strings on rigid
Calabi-Yau manifolds, preserving N=2 local supersymmetry in four dimensions, we
derive a non-perturbative potential of all scalar fields from the exact
D-instanton corrected metric on the hypermultiplet moduli space. Applying this
potential to moduli stabilization, we find a discrete set of exact vacua for
axions. At these critical points, the stability problem is decoupled into two
subspaces spanned by the axions and the other fields (dilaton and Kahler
moduli), respectively. Whereas the stability of the axions is easily achieved,
numerical analysis shows instabilities in the second subspace.Comment: 38 pages; some changes in presentatio
Occurrence of exact $R^2$ inflation in non-local UV-complete gravity

The $R+R^2$, shortly named "$R^2$" ("Starobinsky") inflationary model,
represents a fully consistent example of a one-parameter inflationary scenario.
This model has a "graceful exit" from inflation and provides a mechanism for
subsequent creation and final thermalization of the standard matter. Moreover,
it produces a very good fit of the observed spectrum of primordial
perturbations. In the present paper we show explicitly that the $R^2$
inflationary spacetime is an exact solution of a range of weakly non-local
(quasi-polynomial) gravitational theories, which provide an ultraviolet
completion of the $R^2$ theory. These theories are ghost-free,
super-renormalizable or finite at quantum level, and perturbatively unitary.
Their spectrum consists of the graviton and the scalaron that is responsible
for driving the inflation. Notably, any further extension of the spectrum leads
to propagating ghost degrees of freedom. We are aimed at presenting a detailed
construction of such theories in the so called Weyl basis. Further, we give a
special account to the cosmological implications of this theory by considering
perturbations during inflation. The highlight of the non-local model is the
prediction of a modified, in comparison to a local $R^2$ model, value for the
ratio of tensor and scalar power spectra $r$, depending on the parameters of
the theory. The relevant parameters are under control to be successfully
confronted with existing observational data. Furthermore, the modified $r$ can
surely meet future observational constraints.Comment: 41 pages; minor corrections and presentation improvement; matches the
  published versio
Anomalous dimensions in CFT with weakly broken higher spin symmetry

In a conformal field theory with weakly broken higher spin symmetry, the
leading order anomalous dimensions of the broken currents can be efficiently
determined from the structure of the classical non-conservation equations. We
apply this method to the explicit example of $O(N)$ invariant scalar field
theories in various dimensions, including the large $N$ critical $O(N)$ model
in general $d$, the Wilson-Fisher fixed point in $d=4-\epsilon$, cubic scalar
models in $d=6-\epsilon$ and the nonlinear sigma model in $d=2+\epsilon$. Using
information from the $d=4-\epsilon$ and $d=2+\epsilon$ expansions, we obtain
some estimates for the dimensions of the higher spin operators in the critical
3d $O(N)$ models for a few low values of $N$ and spin.Comment: 39 pages, 1 figure. v2: minor correction
The Last Gasp of Dark Matter Effective Theory

We discuss an interesting class of models, based on strongly coupled Dark
Matter (DM), where sizable effects can be expected in LHC missing energy (MET)
searches, compatibly with a large separation of scales. In this case, an
effective field theory (EFT) is appropriate (and sometimes necessary) to
describe the most relevant interactions at the LHC. The selection rules implied
by the structure of the new strong dynamics shape the EFT in an unusual way,
revealing the importance of higher-derivative interactions previously ignored.
We compare indications from relic density and direct detection experiments with
consistent LHC constraints, and asses the relative importance of the latter.
Our analysis provides an interesting and well-motivated scenario to model MET
at the LHC in terms of a handful of parameters.Comment: 27 pages + appendices, 7 figure
WIMP Dark Matter in a Well-Tempered Regime: A case study on
  Singlet-Doublets Fermionic WIMP

Serious searches for the weakly interacting massive particle (WIMP) have now
begun. In this context, the most important questions that need to be addressed
are: "To what extent can we constrain the WIMP models in the future?" and "What
will then be the remaining unexplored regions in the WIMP parameter space for
each of these models?" In our quest to answer these questions, we classify WIMP
in terms of quantum number and study each case adopting minimality as a guiding
principle. As a first step, we study one of the simple cases of the minimal
composition in the well-tempered fermionic WIMP regime, namely the
singlet-doublets WIMP model. We consider all available constraints from direct
and indirect searches and also the predicted constraints coming from the near
future and the future experiments. We thus obtain the current status, the near
future prospects and the future prospects of this model in all its generality.
We find that in the future, this model will be constrained almost solely by the
future direct dark matter detection experiments (as compared to the weaker
indirect and collider constraints) and the cosmological (relic density)
constraints and will hence be gradually pushed to the corner of the
coannihilation region, if no WIMP signal is detected. Future lepton colliders
will then be useful in exploring this region not constrained by any other
experiments.Comment: 34 pages, 6 figures; v2: minor corrections, published versio
Constraining minimal anomaly free $\mathrm{U}(1)$ extensions of the
  Standard Model

We consider a class of minimal anomaly free $\mathrm{U}(1)$ extensions of the
Standard Model with three generations of right-handed neutrinos and a complex
scalar. Using electroweak precision constraints, new 13 TeV LHC data, and
considering theoretical limitations such as perturbativity, we show that it is
possible to constrain a wide class of models. By classifying these models with
a single parameter, $\kappa$, we can put a model independent upper bound on the
new $\mathrm{U}(1)$ gauge coupling $g_z$. We find that the new dilepton data
puts strong bounds on the parameters, especially in the mass region
$M_{Z'}\lesssim 3~ \mathrm{TeV}$.Comment: 23 pages, 4 figures. Modified model parametrization, exclusion limits
  with new dat
Hierarchy spectrum of SM fermions: from top quark to electron neutrino

In the SM gauge symmetries and fermion content of neutrinos, charged leptons
and quarks, we study the effective four-fermion operators of Einstein-Cartan
type and their contributions to the Schwinger-Dyson equations of fermion
self-energy functions. The study is motivated by the speculation that these
four-fermion operators are probably originated due to the quantum gravity that
provides the natural regularization for chiral-symmetric gauge field theories.
In the chiral-gauge symmetry breaking phase, as to achieve the energetically
favorable ground state, only the top-quark mass is generated via the
spontaneous symmetry breaking, and other fermion masses are generated via the
explicit symmetry breaking induced by the top-quark mass, four-fermion
interactions and fermion-flavor mixing matrices. A phase transition from the
symmetry breaking phase to the chiral-gauge symmetric phase at TeV scale occurs
and the drastically fine-tuning problem can be resolved. In the infrared
fixed-point domain of the four-fermion coupling for the SM at low energies, we
qualitatively obtain the hierarchy patterns of the SM fermion Dirac masses,
Yukawa couplings and family-flavor mixing matrices with three additional
right-handed neutrinos $\nu^f_R$. Large Majorana masses and lepton-symmetry
breaking are originated by the four-fermion interactions among $\nu^f_R$ and
their left-handed conjugated fields $\nu^{fc}_R$. Light masses of gauged
Majorana neutrinos in the normal hierarchy ($10^{-5}-10^{-2}$ eV) are obtained
consistently with neutrino oscillations. We present some discussions on the
composite Higgs phenomenology and forward-backward asymmetry of $t\bar
t$-production, as well as remarks on the candidates of light and heavy dark
matter particles (fermions, scalar and pseudoscalar bosons).Comment: In this article, the study of the third fermion family
  (arXiv1506.05994 PRD93, 073001 (2016)) is generalized to the three fermion
  families. This is an updated version 52 pages, 8 Figures and 2 table
Large distance expansion of Mutual Information for disjoint disks in a
  free scalar theory

We compute the next-to-leading order term in the long-distance expansion of
the mutual information for free scalars in three space-time dimensions. The
geometry considered is two disjoint disks separated by a distance $r$ between
their centers. No evidence for non-analyticity in the R\'enyi parameter $n$ for
the continuation $n \rightarrow 1$ in the next-to-leading order term is found.Comment: 15 pages, This version contains few extra references, some technical
  material has been move to appendices, and other minor modifications to match
  with the version accepted for publicatio
Amplitude relations in heterotic string theory and Einstein-Yang-Mills

We present all-multiplicity evidence that the tree-level S-matrix of gluons
and gravitons in heterotic string theory can be reduced to color-ordered
single-trace amplitudes of the gauge multiplet. Explicit amplitude relations
are derived for up to three gravitons, up to two color traces and an arbitrary
number of gluons in each case. The results are valid to all orders in the
inverse string tension $\alpha'$ and generalize to the ten-dimensional
superamplitudes which preserve 16 supercharges. Their field-theory limit
results in an alternative proof of the recently discovered relations between
Einstein-Yang-Mills amplitudes and those of pure Yang-Mills theory.
Similarities and differences between the integrands of the Cachazo-He-Yuan
formulae and the heterotic string are investigated.Comment: 29 pages; v2: cosmetic changes, references updated, published versio
A Higgs in the Warped Bulk and LHC signals

Warped models with the Higgs in the bulk can generate light Kaluza-Klein (KK)
Higgs modes consistent with the electroweak precision analysis. The first KK
mode of the Higgs (h_{1}) could lie in the 1-2 TeV range in the models with a
bulk custodial symmetry. We find that the h_{1} is gaugephobic and decays
dominantly into a t\bar{t} pair. We also discuss the search strategy for h_{1}
decaying to t\bar{t} at the Large Hadron Collider. We used substructure tools
to suppress the large QCD background associated with this channel. We find that
h_{1} can be probed at the LHC run-2 with an integrated luminosity of 300
fb^{-1}.Comment: 18 pages, 8 figures, 1 tabl
Vector and Axial-vector resonances in composite models of the Higgs
  boson

We provide a non-linear realisation of composite Higgs models in the context
of the SU(4)/Sp(4) symmetry breaking pattern, where the effective Lagrangian of
the spin-0 and spin-1 resonances is constructed via the CCWZ prescription using
the Hidden Symmetry formalism. We investigate the EWPT constraints by
accounting the effects from reduced Higgs couplings and integrating out heavy
spin-1 resonances. This theory emerges from an underlying theory of gauge
interactions with fermions, thus first principle lattice results predict the
massive spectrum in composite Higgs models. This model can be used as a
template for the phenomenology of composite Higgs models at the LHC and at
future 100 TeV colliders, as well as for other application. In this work, we
focus on the formalism for spin-1 resonances and their bounds from di-lepton
and di-boson searches at the LHC.Comment: 52 pages, 10 figures, 3 tables; v2 correct definition for G-parity,
  update fermion currents and C-parity in table II, and add appendix B; v3
  final version accepted by JHE
Naturally Stable Right-Handed Neutrino Dark Matter

We point out that a class of non-supersymmetric models based on the gauge
group $SU(3)_C \times SU(2)_L\times SU(2)_R\times U(1)_{Y_L}\times U(1)_{Y_R}$
possesses an automatic, exact $Z_{2 }$ symmetry under which the fermions in the
$SU(2)_R\times U(1)_{Y_R}$ sector (called $R$-sector) are odd and those in the
standard model sector (called $L$-sector) are even. This symmetry, which is
different from the usual parity symmetry of the left-right symmetric models,
persists in the lepton sector even after the gauge symmetry breaks down to
$SU(3)_C \times U(1)_{\rm EM}$. This keeps the lightest right-handed neutrino
naturally stable, thereby allowing it to play the role of dark matter (DM) in
the Universe. There are several differences between the usual left-right models
and the model presented here: (i) our model can have two versions, one which
has no parity symmetry so that the couplings and masses in the $L$ and $R$
sectors are unrelated, and another which has parity symmetry so that couplings
are related; (ii) the $R$-sector fermions are chosen much heavier than the
$L$-sector ones in both scenarios; and finally (iii) both light and heavy
neutrinos are Majorana fermions with the light neutrino masses arising from a
pure type-II seesaw mechanism. We discuss the DM relic density, direct and
indirect detection prospects and associated collider signatures of the model.
Comparing with current collider and direct detection constraints, we find a
lower bound on the DM mass of order of 1 TeV. We also point out a way to relax
the DM unitarity bound in our model for much larger DM masses by an entropy
dilution mechanism. An additional feature of the model is that the DM can be
made very long lived, if desired, by allowing for weak breaking of the above
$Z_{2}$ symmetry. Our model also predicts the existence of long-lived colored
particles which could be searched for at the LHC.Comment: 31 pages, 12 figures, 2 tables, version for publication in JHE
Lepton-flavour violation in a Pati-Salam model with gauged flavour
  symmetry

Combining Pati-Salam (PS) and flavour symmetries in a renormalisable setup,
we devise a scenario which produces realistic masses for the charged leptons.
Flavour-symmetry breaking scalar fields in the adjoint representations of the
PS gauge group are responsible for generating different flavour structures for
up- and down-type quarks as well as for leptons. The model is characterised by
new heavy fermions which mix with the Standard Model quarks and leptons. In
particular, the partners for the third fermion generation induce sizeable
sources of flavour violation. Focusing on the charged-lepton sector, we
scrutinise the model with respect to its implications for lepton-flavour
violating processes such as $\mu \rightarrow e\gamma$, $\mu\rightarrow 3e$ and
muon conversion in nuclei.Comment: 28 pages, 4 figure
The $\{\beta\}$-expansion formalism in perturbative QCD and its
  extension

We discuss the $\{ \beta \}$-expansion for renormalization group invariant
quantities tracing this expansion to the different contractions of the
corresponding incomplete BPHZ $R$-operation. All of the coupling
renormalizations, which follow from these contractions, should be taken into
account for the $\{ \beta \}$-expansion. We illustrate this feature considering
the nonsinglet Adler function $D^\text{NS}$ in the third order of perturbation.
We propose a generalization of the $\{ \beta \}$-expansion for the
renormalization group covariant quantities -- the $\{ \beta,\gamma
\}$-expansion.Comment: 16 pages, 3 figures, a few editorial corrections for JHEP versio
Bethe ansatz solution of the $\tau_2$-model with arbitrary boundary
  fields

The quantum $\tau_2$-model with generic site-dependent inhomogeneity and
arbitrary boundary fields is studied via the off-diagonal Bethe Ansatz method.
The eigenvalues of the corresponding transfer matrix are given in terms of an
inhomogeneous T-Q relation, which is based on the operator product identities
among the fused transfer matrices and the asymptotic behavior of the transfer
matrices. Moreover, the associated Bethe Ansatz equations are also obtained.Comment: 26 pages, no figures, published versio
R-Parity violation in F-Theory

We discuss R-parity violation (RPV) in semi-local and local F-theory
constructions. We first present a detailed analysis of all possible
combinations of RPV operators arising from semi-local F-theory spectral cover
constructions, assuming an $SU(5)$ GUT. We provide a classification of all
possible allowed combinations of RPV operators originating from operators of
the form $10\cdot \bar 5\cdot \bar 5$, including the effect of $U(1)$ fluxes
with global restrictions. We then relax the global constraints and perform
explicit computations of the bottom/tau and RPV Yukawa couplings, at an
$SO(12)$ local point of enhancement in the presence of general fluxes subject
only to local flux restrictions. We compare our results to the experimental
limits on each allowed RPV operator, and show that operators such as $LLe^c$,
$LQd^c$ and $u^cd^cd^c$ may be present separately within current bounds,
possibly on the edge of observability, suggesting lepton number violation or
neutron-antineutron oscillations could constrain F-theory models.Comment: 40 pages, 13 figures, minor correction
Unification and New Particles at the LHC

Precision gauge coupling unification is one of the primary quantitative
successes of low energy or split supersymmetry. Preserving this success puts
severe restrictions on possible matter and gauge sectors that might appear at
collider-accessible energies. In this work we enumerate new gauge sectors which
are compatible with unification, consisting of horizontal gauge groups acting
on vector-like matter charged under the Standard Model. Interestingly, almost
all of these theories are in the supersymmetric conformal window at high
energies and confine quickly after the superpartners are decoupled. For a range
of scalar masses compatible with both moderately tuned and minimally split
supersymmetry, the confining dynamics happen at the multi-TeV scale, leading to
a spectrum of multiple spin-0 and spin-1 resonances accessible to the LHC, with
unusual quantum numbers and striking decay patterns.Comment: 27 pages, 6 figure
Topology of Fermi Surfaces and anomaly inflows

We derive a rigorous classification of topologically stable Fermi surfaces of
non-interacting, discrete translation-invariant systems from electronic band
theory, adiabatic evolution and their topological interpretations. For systems
on an infinite crystal it is shown that there can only be topologically
unstable Fermi surfaces. For systems on a half- space and with a gapped bulk,
our derivation naturally yields a $\mathit{K}$-theory classification. Given the
$d-1$-dimensional surface Brillouin zone $\mathrm{X}_{s}$ of a $d$-dimensional
half-space, our result implies that different classes of globally stable Fermi
surfaces belong in $\mathit{K^{-1}}\mathrm{(X_{s})}$ for systems with only
discrete translation-invariance. This result has a chiral anomaly inflow
interpretation, as it reduces to the spectral flow for $d = 2$. Through
equivariant homotopy methods we extend these results for symmetry classes
$AI,\,AII,\, C$ and $D$ and discuss their corresponding anomaly inflow
interpretation.Comment: Removed Born-von Karman boundary conditions for $\mathbb{R}^{d}$ and
  $\mathbb{R}^{d-1}\times [0,\infty)$ and includes the 'weak' topological phase
  found by Kitaev for $\Xi^2 = I, d= 2
Connected, Disconnected and Strange Quark Contributions to HVP

We calculate all neutral vector two-point functions in Chiral Perturbation
Theory (ChPT) to two-loop order and use these to estimate the ratio of
disconnected to connected contributions as well as contributions involving the
strange quark. We extend the ratio of $-1/10$ derived earlier in two flavour
ChPT at one-loop order to a large part of the higher order contributions and
discuss corrections to it. Our final estimate of the ratio disconnected to
connected is negative and a few % in magnitude.Comment: 16 pages, one reference added, small changes in table 1, version to
  be published in JHE