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In this paper we study eleven-dimensional supergravity in its most general form. This is done by implementing manifest supersymmetry (and Lorentz invariance) through the use of the geometric (torsion and curvature) superspace Bianchi…

High Energy Physics - Theory · Physics 2009-11-10 Martin Cederwall , Ulf Gran , Bengt E. W. Nilsson , Dimitrios Tsimpis

A non-local classical duality between the three-block truncated 11D supergravity and the 8D vacuum gravity with two commuting Killing symmetries is established. The supergravity four-form field is generated via an inverse dualisation of the…

High Energy Physics - Theory · Physics 2009-10-31 Chiang-Mei Chen , Dmitri V. Gal'tsov , Sergei A. Sharakin

We develop a procedure to reproduce the ten-dimensional generalized supergravity equations from T-duality covariant equations, that facilitates generalization to U-duality covariant formulations of eleven-dimensional supergravity. The…

High Energy Physics - Theory · Physics 2023-04-28 Ilya Bakhmatov , Aybike Catal-Ozer , Nihat Sadik Deger , Kirill Gubarev , Edvard T. Musaev

We compute certain spinorial cohomology groups controlling possible supersymmetric deformations of eleven-dimensional supergravity up to order $l^3$ in the Planck length. At ${\cal O}(l)$ and ${\cal O}(l^2)$ the spinorial cohomology groups…

High Energy Physics - Theory · Physics 2008-11-26 Dimitrios Tsimpis

We consider supergravity in twelve dimension, whose dimensional reduction yields eleven-dimensional, IIA, and IIB supergravities. This also provides the effective field theory of F-theory. We must take one direction as a compact circle, so…

High Energy Physics - Theory · Physics 2015-10-28 Kang-Sin Choi

This paper presents a series of constructions providing eleven-dimensional bosonic supergravity backgrounds. In particular, we treat Lorentzian manifolds given in terms of twisted products of six-dimensional Lorentzian manifolds and…

Differential Geometry · Mathematics 2020-09-15 Ioannis Chrysikos , Anton Galaev

Four-dimensional supergravity theories are reinterpreted in a 12-dimensional F-theory framework. The O(8) symmetry of N=8 supergravity is related to a reduction of F-theory on T_8, with the seventy scalars formally associated, by O(8)…

High Energy Physics - Theory · Physics 2014-11-18 Sergio Ferrara , Massimo Bianchi , Gianfranco Pradisi , Augusto Sagnotti , Yassen S. Stanev

We consider the Freund-Rubin-Englert mechanism of compactification of N=1 supergravity in 11 dimensions. We systematically investigate both well-known and some new solutions of the classical equations of motion in 11 dimensions. In…

High Energy Physics - Theory · Physics 2010-03-16 E. K. Loginov

Let (M^n,g) be a Riemannian spin manifold. The basic equations in supergravity models of type IIa string theory with 4-form flux involve a 3-form T, a 4-form F, a spinorial covariant derivative \nabla depending on \nabla^g, T, F, and a…

Differential Geometry · Mathematics 2008-11-26 Christof Puhle

A family of geometries on S^7 arise as solutions of the classical equations of motion in 11 dimensions. In addition to the conventional riemannian geometry and the two exceptional Cartan-Schouten compact flat geometries with torsion, one…

High Energy Physics - Theory · Physics 2013-07-02 E. K. Loginov

A chiral superfield strength in N=2 conformal supergravity at linearized level is obtained by acting two superspace derivatives on N=4 chiral superfield strength which can be described in terms of N=4 twistor superfields. By decomposing…

High Energy Physics - Theory · Physics 2015-06-26 Changhyun Ahn

Light-cone gauge manifestly supersymmetric formulation of eleven dimensional supergravity is developed. The formulation is given entirely in terms of light cone scalar superfield, allowing us to treat all component fields on an equal…

High Energy Physics - Theory · Physics 2009-11-10 R. R. Metsaev

We perform the maximal twist of eleven-dimensional supergravity. This twist is partially topological and exists on manifolds of $G_2 \times SU(2)$ holonomy. Our derivation starts with an explicit description of the Batalin-Vilkovisky…

High Energy Physics - Theory · Physics 2023-02-28 Richard Eager , Fabian Hahner

The superspace formulation of eleven-dimensional supergravity with a seven-form field strength is given.

High Energy Physics - Theory · Physics 2008-02-03 P. S. Howe

The complete supersymmetric action for eleven-dimensional supergravity is presented. The action is polynomial in the scalar fermionic pure spinor superfield, and contains only a minor modification to the recently proposed three-point…

High Energy Physics - Theory · Physics 2010-12-06 Martin Cederwall

Starting from the eleven dimensional E_{11} non-linear realisation of M-theory we compute all possible forms, that is objects with totally antisymmetrised indices, that occur in four dimensions and above as well as all the 1-forms and…

High Energy Physics - Theory · Physics 2009-04-17 Fabio Riccioni , Peter West

Superconformal algebras embedding space-time in any dimension and signature are considered. Different real forms of the $R$-symmetries arise both for usual space-time signature (one time) and for Euclidean or exotic signatures (more than…

High Energy Physics - Theory · Physics 2017-08-23 S. Ferrara

We study linearized perturbations of eleven-dimensional $OSp(32|1)$ Chern-Simons supergravity. The action contains a term that changes the value of the cosmological constant, as considered by Horava. It is shown that the spectrum contains a…

High Energy Physics - Theory · Physics 2009-11-07 M. Banados

We formulate D=11 supergravity over the octonions by rewriting 32-component Majorana spinors as 4-component octonionic spinors. Dimensional reduction to D=4 and D=3 suggests an interpretation of the so-called 'dilaton vectors', which…

High Energy Physics - Theory · Physics 2015-06-12 A. Anastasiou , M. J. Hughes

Motivated by the fact that there exists a continuous one-parameter family of gauged SO(8) supergravities, possible eleven-dimensional origins of this phenomenon are explored. Taking the original proof of the consistency of the truncation of…

High Energy Physics - Theory · Physics 2015-06-15 Bernard de Wit , Hermann Nicolai