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We apply Implicit regularization in the calculation of the one-loop graviton and gravitino corrections to the anomalous magnetic moment of the lepton in unbroken supergravity, which is known to be an important test for any regularization…

High Energy Physics - Phenomenology · Physics 2009-11-11 J. E. Ottoni , A. P. Baeta Scarpelli , Marcos Sampaio , M. C. Nemes

We show that duality transformations of linearized gravity in four dimensions, i.e., rotations of the linearized Riemann tensor and its dual into each other, can be extended to the dynamical fields of the theory so as to be symmetries of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Marc Henneaux , Claudio Teitelboim

We study potential presence of statistical-computational gaps (SCG) in symmetric binary perceptrons (SBP) via a parametric utilization of \emph{fully lifted random duality theory} (fl-RDT) [96]. A structural change from decreasingly to…

Machine Learning · Statistics 2026-01-16 Mihailo Stojnic

We construct maximal supergravity in four dimensions with local scaling symmetry as deformation of the original Cremmer-Julia theory. The different theories which include the standard gaugings are parametrized by an embedding tensor…

High Energy Physics - Theory · Physics 2015-05-27 Arnaud Le Diffon , Henning Samtleben , Mario Trigiante

We establish a connection between oriented matroid theory and loop quantum gravity in (2+2) (two time and two space dimensions) and 8-dimensions. We start by observing that supersymmetry implies that the structure constants of the real…

High Energy Physics - Theory · Physics 2014-08-28 J. A. Nieto

The invariants in half-maximal supergravity theories in D=4,5 are discussed in detail up to dimension eight (e.g. R^4). In D=4, owing to the anomaly in the rigid SL(2,R) duality symmetry, the restrictions on divergences need careful…

High Energy Physics - Theory · Physics 2015-06-15 G. Bossard , P. S. Howe , K. S. Stelle

In this paper, we present a systematic analysis of eleven-dimensional supergravity on a manifold with boundary, which is believed to be relevant to the strong coupling limit of the $E_8\times E_8$ heterotic string. Gauge and gravitational…

High Energy Physics - Theory · Physics 2010-04-07 Petr Horava , Edward Witten

The free (4,0) superconformal theory in 6 dimensions and its toroidal dimensional reductions are studied. The reduction to four dimensions on a 2-torus has an $SL(2,\Z)$ duality symmetry that acts non-trivially on the linearised gravity…

High Energy Physics - Theory · Physics 2010-02-03 C. M. Hull

We study the semiclassical limit of a class of invariant tensors for infinite-dimensional unitary representations of $\mathrm{SL}(2,\mathbb{C})$ of the principal series, corresponding to generalized Clebsch-Gordan coefficients with $n\geq3$…

General Relativity and Quantum Cosmology · Physics 2024-02-27 Pietro Dona , Marco Fanizza , Pierre Martin-Dussaud , Simone Speziale

The invariants in D=4, N=4 supergravity are discussed up to the three-loop order (where one expects a general R^4 structure). Because there is an anomaly in the rigid SL(2,R) symmetry of this theory, the analysis of possible restrictions on…

High Energy Physics - Theory · Physics 2015-06-12 G. Bossard , P. S. Howe , K. S. Stelle

Locally supersymmetric systems in odd dimensions whose Lagrangians are Chern-Simons forms for supersymmetric extensions of anti-de Sitter gravity are discussed. The construction is illustrated for D=7 and 11. In seven dimensions the theory…

High Energy Physics - Theory · Physics 2009-12-30 Ricardo Troncoso , Jorge Zanelli

F(4) supergravity, the gauge theory of the exceptional six-dimensional Anti-de Sitter superalgebra, is coupled to an arbitrary number of vector multiplets whose scalar components parametrize the quaternionic manifold $SO(4,n)/SO(4)\times…

High Energy Physics - Theory · Physics 2010-02-03 R. D'Auria , S. Ferrara , S. Vaulà

The variety of consistent "gauging" deformations of supergravity theories in four dimensions depends on the choice of Lagrangian formulation. One important goal is to get the most general deformations without making hidden assumptions.…

High Energy Physics - Theory · Physics 2018-02-14 Marc Henneaux , Bernard Julia , Victor Lekeu , Arash Ranjbar

We use unitarity techniques to compute the two-loop non-planar corrections to the Sudakov form factor and the four-point amplitude in ABJM theory. We start by reconstructing non-planar integrals from two-particle cuts in three dimensions.…

High Energy Physics - Theory · Physics 2014-07-09 Lorenzo Bianchi , Marco S. Bianchi

$1/N^2$ corrections to deep inelastic scattering (DIS) of charged leptons from glueballs at strong coupling are investigated in the framework of the gauge/gravity duality. The structure functions $F_1$ and $F_2$ (and also $F_L$) are studied…

High Energy Physics - Theory · Physics 2016-05-25 David Jorrin , Nicolas Kovensky , Martin Schvellinger

In \cN = 2, 4 superconformal field theories in four space-time dimensions, the quantum corrections with four derivatives are believed to be severely constrained by non-renormalization theorems. The strongest of these is the conjecture…

High Energy Physics - Theory · Physics 2010-04-05 S. M. Kuzenko , I. N. McArthur

Conventional wisdom says that the simpler the Lagrangian of a theory the simpler its perturbation theory, but an increased understanding of the structure of the S-matrix in gauge theories and gravity has been pointing to the opposite…

High Energy Physics - Theory · Physics 2015-03-13 Nima Arkani-Hamed , Freddy Cachazo , Jared Kaplan

Supergravity theory in $2+\epsilon$ dimensions is studied. It is invariant under supertransformations in 2 and 3 dimensions. One-loop divergence is explicitly computed in the background field method and a nontrivial fixed point is found. In…

High Energy Physics - Theory · Physics 2015-06-26 S. Kojima , N. Sakai , Y. Tanii

This paper studies the semiclassical approximation of simple supergravity in Riemannian four-manifolds with boundary, within the framework of $\zeta$-function regularization. The massless nature of gravitinos, jointly with the presence of a…

High Energy Physics - Theory · Physics 2009-10-30 Giampiero Esposito , Alexander Yu. Kamenshchik

We study critical points of $F(4)$ gauged supergravity in six dimensions coupled to three vector multiplets. Scalar fields are described by $\mathbb{R}^+\times \frac{SO(4,3)}{SO(4)\times SO(3)}$ coset space, and the gauge group is given by…

High Energy Physics - Theory · Physics 2015-08-04 Parinya Karndumri
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