pinecone/core-2020-05-10-deduplication huggingface dataset:
Supersymmetric E 7(7) exceptional field theory

We give the supersymmetric extension of exceptional field theory for E 7(7) , which is based on a (4 + 56)-dimensional generalized spacetime subject to a covariant constraint. The fermions are tensors under the local Lorentz group SO(1, 3) × SU(8) and transform as scalar densities under the E 7(7) (internal) generalized diffeomorphisms. The supersymmetry transformations are manifestly covariant under these symmetries and close, in particular, into the generalized diffeomorphisms of the 56-dimensional space. We give the fermionic field equations and prove supersymmetric invariance. We establish the consistency of these results with the recently constructed generalized geometric formulation of D = 11 supergravity
The double scaling limit of random tensor models

Tensor models generalize matrix models and generate colored triangulations of
pseudo-manifolds in dimensions $D\geq 3$. The free energies of some models have
been recently shown to admit a double scaling limit, i.e. large tensor size $N$
while tuning to criticality, which turns out to be summable in dimension less
than six. This double scaling limit is here extended to arbitrary models. This
is done by means of the Schwinger--Dyson equations, which generalize the loop
equations of random matrix models, coupled to a double scale analysis of the
cumulants.Comment: 37 pages, 13 figures; several references were added. A new subsection
  was added to first present all the results (before the technical proofs which
  will follow). A misprint was correcte
The double scaling limit of random tensor models

Tensor models generalize matrix models and generate colored triangulations of pseudo-manifolds in dimensions D ≥ 3. The free energies of some models have been recently shown to admit a double scaling limit, i.e. large tensor size N while tuning to criticality, which turns out to be summable in dimension less than six. This double scaling limit is here extended to arbitrary models. This is done by means of the Schwinger-Dyson equations, which generalize the loop equations of random matrix models, coupled to a double scale analysis of the cumulants
Higher form gauge fields and their nonassociative symmetry algebras

We show that geometric theories with $p$-form gauge fields have a
nonassociative symmetry structure, extending an underlying Lie algebra. This
nonassociativity is controlled by the same Chevalley-Eilenberg cohomology that
classifies free differential algebras, $p$-form generalizations of
Cartan-Maurer equations. A possible relation with flux backgrounds of closed
string theory is pointed out.Comment: 8 pages, LaTeX. Shortened review part on extended Lie derivatives and
  free differential algebras, added computation of the Jacobiator for D=11
  supergravity, added references. Matches published version on JHE
Positroid stratification of orthogonal Grassmannian and ABJM amplitudes

A novel understanding of scattering amplitudes in terms of on-shell diagrams and positive Grassmannian has been recently established for four dimensional Yang-Mills theories and three dimensional Chern-Simons theories of ABJM type. We give a detailed construction of the positroid stratification of orthogonal Grassmannian relevant for ABJM amplitudes. On-shell diagrams are classified by pairing of external particles. We introduce a combinatorial aid called ‘OG tableaux’ and map each equivalence class of on-shell diagrams to a unique tableau. The on-shell diagrams related to each other through BCFW bridging are naturally grouped by the OG tableaux. Introducing suitably ordered BCFW bridges and positive coordinates, we construct the complete coordinate charts to cover the entire positive orthogonal Grassmannian for arbitrary number of external particles. The graded counting of OG tableaux suggests that the positive orthogonal Grassmannian constitutes a combinatorial polytope
The global anomalies of (2,0) superconformal field theories in six
  dimensions

We compute the global gauge and gravitational anomalies of the A-type (2,0)
superconformal quantum field theories in six dimensions, and conjecture a
formula valid for the D- and E-type theories. We show that the anomaly contains
terms that do not contribute to the local anomaly but that are crucial for the
consistency of the global anomaly. A side result is an intuitive picture for
the appearance of Hopf-Wess-Zumino terms on the Coulomb branch of the (2,0)
theories.Comment: 35 pages, 2 figures. v2: typos corrected, some clarifications added
  in the introduction and in Section 4.6, version to be published in JHE
Flavored N=4 SYM -- a highly entangled quantum liquid

We study N=4 SYM theory coupled to fundamental N=2 hypermultiplets in a state
of finite charge density. The setup can be described holographically as a
configuration of D3 and D7 branes with a non-trivial worldvolume gauge field on
the D7. The phase has been identified as a new form of quantum liquid, where
certain properties are those of a Fermi liquid while others are clearly
distinct. We focus on the entanglement among the flavors, as quantified by the
entanglement entropy. The expectation for a Fermi liquid would be a logarithmic
enhancement of the area law, but we find a more drastic enhancement instead.
The leading contributions are volume terms with a non-trivial shape dependence,
signaling extensive entanglement among the flavors. At finite temperature these
correlations are confined to a region of size given by the inverse temperature.Comment: 16 pages, 2 figures; published version, references adde
Permutation relations of generalized Yangian Invariants, unitarity cuts, and scattering amplitudes

We find a permutation relation among the generalized Yangian Invariants — two Yangian Invariants with adjacent external lines exchanged are related by a simple kinematic factor — which is shown to be equivalent to U(1) decoupling and Bern-Carrasco-Johansson (BCJ) relation at the level of maximal helicity violating (MHV) amplitudes. We propose using unitarity cuts to study nonplanar amplitudes and to systematically reconstruct the integrands of nonplanar MHV amplitudes, up to a rational function which vanishes under all possible unitarity cuts. This is made possible with the newly found permutation relations by converting nonplanar on-shell diagrams into planar ones. As explicit examples the construction of one-loop double-trace MHV amplitudes of 4- and 5-point interactions are presented using on-shell diagrams. The kinematic factors and the resultant planar diagrams are carefully dealt with using the unitarity cut conditions. The first next-to-MHV amplitudes are addressed using generalized unitarity cuts. Their leading singularities can be identified as residues of the Grassmanian integrals. These examples also serve to demonstrate the power of the newly found relation of the generalized Yangian Invariants
NNLOPS accurate Drell-Yan production

We present a next-to-next-to-leading order accurate description of Drell-Yan
lepton pair production processes through $\gamma^*/Z$ or $W$ exchange that
includes consistently parton shower effects. Results are obtained by upgrading
the vector-boson plus one jet NLO calculation in POWHEG with the MiNLO
procedure and by applying an appropriate reweighting procedure making use of
the DYNNLO program. We compare to existing data and to accurate resummed
calculations.Comment: 31 pages, 17 figures, 1 tabl
The one-loop effective potential of the Wess-Zumino model revisited

The full one-loop supersymmetric effective potential for the Wess-Zumino
model is calculated using superfield techniques. This includes the K\"ahler
potential and the auxiliary field potential, of which the former was originally
computed in 1993 while the latter is derived for the first time. In the purely
bosonic sector our results match those of older component field calculations.
  In light of prior contradictory results found in the literature, the
calculation of the leading term in the auxiliary field potential is approached
in a variety of ways. Issues related to conditional convergence that occur
during these calculations and their possible consequences are discussed.Comment: 32 page
Can Zee-Babu model implemented with scalar dark matter explain both Fermi-LAT 130 GeV γ-ray excess and neutrino physics?

We extend the Zee-Babu model for the neutrino masses and mixings by first incorporating a scalar dark matter X with Z 2 symmetry and then X and a dark scalar φ with global U(1) symmetry. In the latter scenario the singly and doubly charged scalars that are new in the Zee-Babu model can explain the large annihilation cross section of a dark matter pair into two photons as hinted by the recent analysis of the Fermi γ-ray space telescope data. These new scalars can also enhance the B ( H → γγ), as the recent LHC results may suggest. The dark matter relic density can be explained. The direct detection rate of the dark matter is predicted to be about one order of magnitude down from the current experimental bound in the first scenario
Inflationary Baryogenesis in a Model with Gauged Baryon Number

We argue that inflationary dynamics may support a scenario where significant
matter-antimatter asymmetry is generated from initially small-scale quantum
fluctuations that are subsequently stretched out over large scales. This
scenario can be realised in extensions of the Standard Model with an extra
gauge symmetry having mixed anomalies with the electroweak gauge symmetry.
Inflationary baryogenesis in a model with gauged baryon number is considered in
detail.Comment: 11 pages, V3 - major revisio
Three-Point Functions and su(1|1) Spin Chains

We compute three-point functions of general operators in the su(1|1) sector
of planar N = 4 SYM in the weak coupling regime, both at tree-level and
one-loop. Each operator is represented by a closed spin chain Bethe state
characterized by a set of momenta parameterizing the fermionic excitations. At
one-loop, we calculate both the two-loop Bethe eigenstates and the relevant
Feynman diagrams for the three-point functions within our setup. The final
expression for the structure constants is surprisingly simple and hints at a
possible form factor based approach yet to be unveiled.Comment: 36 page
Signature of the Van der Waals like small-large charged AdS black hole
  phase transition in quasinormal modes

We calculate the quasinormal modes of massless scalar perturbations around
small and large four-dimensional Reissner-Nordstrom-Anti de Sitter (RN-AdS)
black holes. We find a dramatic change in the slopes of quasinormal frequencies
in small and large black holes near the critical point where the Van der Waals
like thermodynamic phase transition happens. This further supports that the
quasinormal mode can be a dynamic probe of the thermodynamic phase transition.Comment: 20 pages,11 figures.The new version is accepted for publication in
  JHE
Non-local formulation of ghost-free bigravity theory

We study the ghost-free bimetric theory of Hassan and Rosen, with parameters
$\beta_i$ such that a flat Minkowski solution exists for both metrics. We show
that, expanding around this solution and eliminating one of the two metrics
with its own equation of motion, the remaining metric is governed by the
Einstein-Hilbert action plus a non-local term proportional to
$W_{\mu\nu\rho\sigma} (\Box-m^2)^{-1}W^{\mu\nu\rho\sigma}$, where
$W_{\mu\nu\rho\sigma}$ is the Weyl tensor. The result is valid to quadratic
order in the metric perturbation and to all orders in the derivative expansion.
This example shows, in a simple setting, how such non-local extensions of GR
can emerge from an underlying consistent theory, at the purely classical level.Comment: 16 page
Top mass determination, Higgs inflation, and vacuum stability

The possibility that new physics beyond the Standard Model (SM) appears only
at the Planck scale $M_P$ is often considered. However, it is usually argued
that new physics interactions at $M_P$ do not affect the SM stability phase
diagram, so the latter is obtained neglecting these terms. According to this
diagram, for the current experimental values of the top and Higgs masses, our
universe lives in a metastable state (with very long lifetime), near the edge
of stability. Contrary to these expectations, however, we show that the
stability phase diagram strongly depends on new physics and that, despite
claims to the contrary, a more precise determination of the top (as well as of
the Higgs) mass will not allow to discriminate between stability, metastability
or criticality of the electroweak vacuum. At the same time, we show that the
conditions needed for the realization of Higgs inflation scenarios (all
obtained neglecting new physics) are too sensitive to the presence of new
interactions at $M_P$. Therefore, Higgs inflation scenarios require very severe
fine tunings that cast serious doubts on these models.Comment: 20 pages, 10 figure
Conformal a-anomaly of some non-unitary 6d superconformal theories

We compute the conformal anomaly a-coefficient for some non-unitary (higher derivative or non-gauge-invariant) 6d conformal fields and their supermultiplets. We use the method based on a connection between 6d determinants on S 6 and 7d determinants on AdS 7 . We find, in particular, that (1,0) supermultiplet containing 4-derivative gauge-invariant conformal vector has precisely the value of a-anomaly as attributed in arXiv:1506.03807 (on the basis of R-symmetry and gravitational ’t Hooft anomaly matching) to the standard (1,0) vector multiplet. We also show that higher derivative (2,0) 6d conformal supergravity coupled to exactly 26 (2,0) tensor multiplets has vanishing a-anomaly (and also vanishing Casimir energy on 5-sphere). This is the 6d counterpart of the known fact of cancellation of the conformal anomaly in the 4d system of N = 4 $$ \mathcal{N}=4 $$ conformal supergravity coupled to 4 vector N = 4 $$ \mathcal{N}=4 $$ multiplets. In the case when 5 of tensor multiplets are chosen to be ghost-like and the conformal symmetry is spontaneously broken by a quadratic scalar constraint the resulting IR theory may be identified with (2,0) Poincaré supergravity coupled to 21 = 26 − 5 tensor multiplets. The latter theory is known to be special — it is gravitational anomaly free and results upon compactification of 10d type IIB supergravity on K3
Perspectives on a supersymmetric extension of the standard model with a Y = 0 Higgs triplet and a singlet at the LHC

We investigate a supersymmetric extension of the Minimal Supersymmetric Standard Model (MSSM), called the TNMSSM, containing a SU(2) Higgs triplet T ^ $$ \left(\widehat{T}\right) $$ of Y = 0 hypercharge and a singlet superfields ( Ŝ ) in the corresponding superpotential. The model can be viewed, equivalently, as an extension of the NMSSM with the addition of a T ^ − S ^ $$ \widehat{T}-\widehat{S} $$ interaction and of an extra coupling of the triplet to the two Higgs doublets of the NMSSM. In this scenario the Higgs particle spectrum at tree-level gets additional mass contributions from the triplet and singlet scalar components respect to the MSSM, which are particularly enhanced at low tan β . We calculate the one-loop Higgs masses for the neutral physical Higgs bosons by a Coleman-Weinberg effective potential approach. In particular, we investigate separately the impact of the radiative corrections due to the electroweak, gauge-gaugino-higgsino, fermion-sfermion and Higgs self-interactions to the Higgs masses. Due to the larger number of scalars and of triplet and singlet couplings, the Higgs corrections can be larger than the strong corrections. This reduces the amount of fine-tuning required to fit the recent Higgs data. Using the expressions of the beta-functions of the model, we show that the large triplet singlet coupling remains perturbative up to ∼ 10 8−10 GeV. The model is also characterized by a light pseudoscalar in the spectrum, which is a linear combination of the triplet, doublet and singlet CP-odd components. We discuss the production and decay signatures of the Higgs bosons in this model, including scenarios with hidden Higgses, which could be investigated at the LHC in the current run
Large N non-perturbative effects in N=4 superconformal Chern-Simons theories

We investigate the large N instanton effects of partition functions in a class of N=4 circular quiver Chern-Simons theories on a three-sphere. Our analysis is based on the supersymmetry localization and the Fermi-gas formalism. The resulting matrix model can be regarded as a two-parameter deformation of the ABJM matrix model, and has richer non-perturbative structures. Based on a systematic semi-classical analysis, we find analytic expressions of membrane instanton corrections. We also exactly compute the partition function for various cases and find some exact forms of worldsheet instanton corrections, which appear as quantum mechanical non-perturbative corrections in the Fermi-gas system
Realistic three-generation models from SO(32) heterotic string theory

We search for realistic supersymmetric standard-like models from SO(32)
heterotic string theory on factorizable tori with multiple magnetic fluxes.
Three chiral ganerations of quarks and leptons are derived from the adjoint and
vector representations of SO(12) gauge groups embedded in SO(32) adjoint
representation. Massless spectra of our models also include Higgs fields, which
have desired Yukawa couplings to quarks and leptons at the tree-level.Comment: 29 pages, Typos corrected, references added, and Sec. 3.3 is adde
Deconfinement and universality in the 3 D U(1) lattice gauge theory at finite temperature: study in the dual formulation

We study analytically and numerically the three-dimensional U(1) lattice gauge theory at finite temperature in the dual formulation. For an appropriate disorder operator, we obtain the renormalization group equations describing the critical behavior of the model in the vicinity of the deconfinement phase transition. These equations are used to check the validity of the Svetitsky-Yaffe conjecture regarding the critical behavior of the lattice U(1) model. Furthermore, we perform numerical simulations of the model for N t = 1 , 2 , 4 , 8 and compute, by a cluster algorithm, the dual correlation functions and the corresponding second moment correlation length. In this way we locate the position of the critical point and calculate critical indices
$\mathbb{P}^1$-bundle bases and the prevalence of non-Higgsable
  structure in 4D F-theory models

We explore a large class of F-theory compactifications to four dimensions. We
find evidence that gauge groups that cannot be Higgsed without breaking
supersymmetry, often accompanied by associated matter fields, are a ubiquitous
feature in the landscape of ${\cal N} = 1$ 4D F-theory constructions. In
particular, we study 4D F-theory models that arise from compactification on
threefold bases that are $\mathbb{P}^1$ bundles over certain toric surfaces.
These bases are one natural analogue to the minimal models for base surfaces
for 6D F-theory compactifications. Of the roughly 100,000 bases that we study,
only 80 are weak Fano bases in which there are no automatic singularities on
the associated elliptic Calabi-Yau fourfolds, and 98.3% of the bases have
geometrically non-Higgsable gauge factors. The $\mathbb{P}^1$-bundle threefold
bases we analyze contain a wide range of distinct surface topologies that
support geometrically non-Higgsable clusters. Many of the bases that we
consider contain $SU(3)\times SU(2)$ seven-brane clusters for generic values of
deformation moduli; we analyze the relative frequency of this combination
relative to the other four possible two-factor non-Higgsable product groups, as
well as various other features such as geometrically non-Higgsable candidates
for dark matter structure and phenomenological ($SU(2)$-charged) Higgs fields.Comment: 51 pages + references, appendices. v2: references adde
Rigid 4D N=2 supersymmetric backgrounds and actions

We classify all N=2 rigid supersymmetric backgrounds in four dimensions with
both Lorentzian and Euclidean signature that preserve eight real supercharges,
up to discrete identifications. Among the backgrounds we find specific warpings
of S^3 x R and AdS_3 x R, AdS_2 x S^2 and H^2 x S^2 with generic radii, and
some more exotic geometries. We provide the generic two-derivative rigid vector
and hypermultiplet actions and analyze the conditions imposed on the special
Kahler and hyperkahler target spaces.Comment: 50 + 17 pages; v2: minor corrections, published versio
Exploring Source and Detector Non-Standard Neutrino Interactions at
  ESS$\nu$SB

We investigate source and detector non-standard neutrino interactions at the
proposed ESS$\nu$SB experiment. We analyze the effect of non-standard physics
at the probability level, the event-rate level and by a full computation of the
ESS$\nu$SB setup. We find that the precision measurement of the leptonic mixing
angle $\theta_{23}$ at ESS$\nu$SB is robust in the presence of non-standard
interactions, whereas that of the leptonic CP-violating phase $\delta$ is
worsened at most by a factor of two. We compute sensitivities to all the
relevant source and decector non-standard interaction parameters and find that
the sensitivities to the parameters $\varepsilon^s_{\mu e}$ and
$\varepsilon^d_{\mu e}$ are comparable to the existing limits in a realistic
scenario, while they improve by a factor of two in an optimistic scenario.
Finally, we show that the absence of a near detector compromises the
sensitivity of ESS$\nu$SB to non-standard interactions.Comment: 26 pages, 10 figures. Final version published in JHE
Classical Virasoro irregular conformal block II

We present a new systematic way to evaluate the classical limit of the
Virasoro irregular conformal block for arbitrary rank n based on the irregular
partition function. In addition, we prove that the classical irregular
conformal block has the exponential form as suggested by A. Zamolodchikov and
Al. Zamolodchikov for the regular case. We provide an explicit calculation for
the rank 2 case in detail.Comment: 13 pages; v2: typos corrected, technical details moved to appendices,
  accepted by JHE
3d N=1 effective supergravity and F-theory from M-theory on fourfolds

We consider 3d N=1 M-theory compactifications on Calabi-Yau fourfolds, and
the effective 3d theory of light modes obtained by reduction from eleven
dimensions. We study in detail the mass spectrum at the vacuum and, by
decoupling the massive multiplets, we derive the effective 3d N=1 theory in the
large-volume limit up to quartic fermion terms. We show that in general it is
an ungauged N=1 supergravity of the form expected from 3d supersymmetry. In
particular the massless bosonic fields consist of the volume modulus and the
axions originating from the eleven-dimensional three-form, while the
moduli-space metric is locally isometric to hyperbolic space. We consider the
F-theory interpretation of the 3d N=1 M-theory vacua in the light of the
F-theory effective action approach. We show that these vacua generally have
F-theory duals with circle fluxes, thus breaking 4d Poincar\'e invariance.Comment: 37 pages. Published version, minor change
Time-reversal symmetry violation in several Lepton-Flavor-Violating
  processes

We compute a T-odd triple vector correlation for the $\mu\rightarrow e\gamma
$ decay and the $\mu\rightarrow e$ conversion process. We find simple results
in terms of the CP violating phases of the effective Hamiltonians. Then we
focus on the minimal Left-Right symmetric extension of the Standard Model,
which can lead to an appreciable correlation. We show that under rather general
assumptions, this correlation can be used to discriminate between Parity or
Charge-conjugation as the discrete Left-Right symmetry.Comment: 22 pages, 5 figures. Comments added. Sections 5 and 6 expanded.
  Appendices A and B expanded, accepted for publication in JHE