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We show that the space of gravitational spinors in eleven dimensions, defined by equations $\Gamma_{\alpha\beta}^i\lambda^{\alpha}\lambda^{\beta}=0$ admits a desingularization with nice geometric properties. In particular the…

High Energy Physics - Theory · Physics 2011-08-29 M. V. Movshev

We construct a generalization of Poisson-Chern-Simons theory, defined on any supermanifold equipped with an appropriate filtration of the tangent bundle. Our construction recovers interacting eleven-dimensional supergravity in Cederwall's…

Mathematical Physics · Physics 2024-12-04 Fabian Hahner , Ingmar Saberi

Eleven-dimensional supergravity can be formulated in superspaces locally of the form $\mathbf X\times Y$ where $\mathbf X$ is 4D $N=1$ conformal superspace and $Y$ is an arbitrary 7-manifold admitting a $G_2$-structure. The…

High Energy Physics - Theory · Physics 2018-07-04 Katrin Becker , Melanie Becker , Daniel Butter , William D. Linch

Four-graviton scattering in eleven-dimensional supergravity is considered at one loop compactified on one, two and three-dimensional tori. The dependence on the toroidal geometry determines the known perturbative and non-perturbative terms…

High Energy Physics - Theory · Physics 2010-11-19 M. B. Green , M. Gutperle , P. Vanhove

In supersymmetric theories, protected quantities can be reorganized into holomorphic-topological theories by twisting. Recently, it was observed by Jonsson, Kim and Young that residual super-Poincar\'e symmetries in certain twisted theories…

High Energy Physics - Theory · Physics 2025-12-05 Fabian Hahner , Natalie M. Paquette , Surya Raghavendran

We describe a new first-order formulation of D=11 supergravity which shows that that theory can be understood to arise from a certain topological field theory by the imposition of a set of local constraints on the fields, plus a lagrange…

High Energy Physics - Theory · Physics 2016-09-06 Yi Ling , Lee Smolin

We give a formulation of linearized 11D supergravity in 4D, $N=1$ superspace keeping all eleven bosonic coordinates. The fields are fluctuations around $\mathbf M=\mathbf R^{4|4}\times Y$, where $Y$ is a background Riemannian 7-manifold…

High Energy Physics - Theory · Physics 2018-01-17 Katrin Becker , Melanie Becker , Daniel Butter , Sunny Guha , William D. Linch , Daniel Robbins

The eleven-dimensional gravitational action invariant under local Poincare transformations is given by the dimensional continuation of the Euler class of ten dimensions. Here we show that the supersymmetric extension of this action leads,…

High Energy Physics - Theory · Physics 2007-05-23 Mokhtar Hassaine , Ricardo Troncoso , Jorge Zanelli

We display the construction of a twisted superalgebra for the N=1 Euclidian supergravity on 4-manifolds with an almost complex structure. It acts on a representation of twisted supersymmetry made of forms with odd and even statistics and it…

High Energy Physics - Theory · Physics 2012-11-22 Laurent Baulieu , Marc Bellon , Valentin Reys

In arXiv:2203.03372 we presented a modification of 11-dimensional supergravity field equations which upon dimensional reduction yields generalized supergravity equations in 10-dimensions. In this paper we provide full technical details of…

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

We study compactifications of eleven-dimensional supergravity on Calabi-Yau threefolds times a circle, with a duality twist along the circle a la Scherk-Schwarz. This leads to four-dimensional N=2 gauged supergravity with a semi-positive…

High Energy Physics - Theory · Physics 2011-06-07 Hugo Looyestijn , Erik Plauschinn , Stefan Vandoren

We make some considerations and remarks on D=11 supergravity and its integral form. We start from the geometrical formulation of supergravity and by means of the integral form technique we provide a superspace action that reproduces (at the…

High Energy Physics - Theory · Physics 2023-04-05 Pietro Antonio Grassi

We construct supergravity theories in twelve and thirteen dimensions with the respective signatures (10,2) and (11,2) with some technical details. Starting with N=1 supergravity in 10+2 dimensions coupled to Green-Schwarz superstring, we…

High Energy Physics - Theory · Physics 2009-10-31 Hitoshi Nishino

The physical states of N=4 conformal supergravity in four dimensions occur in twistor-string theory by Berkovits and Witten(hep-th/0406051). We study two alternative versions of twistor-string theory based on the B-model of weighted…

High Energy Physics - Theory · Physics 2008-11-26 Changhyun Ahn

Eleven-dimensional supergravity reveals large exceptional symmetries upon reduction, in accordance with the U-duality groups of M-theory, but their higher-dimensional geometric origin has remained a mystery. In this letter, we show that…

High Energy Physics - Theory · Physics 2013-12-16 Olaf Hohm , Henning Samtleben

We summarise the results of our recent paper (arXiv:1511.08737) highlighting what might be considered to be a Lie-algebraic derivation of eleven-dimensional supergravity.

High Energy Physics - Theory · Physics 2016-07-15 José Figueroa-O'Farrill , Andrea Santi

Unique twistor--like Lorentz harmonic formulation for all N=1 supersymmetric extended objects (super-p-branes) moving in the space--time of arbitrary dimension D (admissible for given $p$) are suggested. The equations of motion are derived,…

High Energy Physics - Theory · Physics 2010-04-06 I. A. Bandos , A. A. Zheltukhin

We construct with a geometric procedure the supersymmetry transformation laws and Lagrangian for all the ``variant'' D=11 and D=10 Type IIA supergravities. We identify into our classification the D=11 and D=10 Type IIA ``variant'' theories…

High Energy Physics - Theory · Physics 2009-11-07 Silvia Vaula'

We show that Supergravity in eleven dimensions can be described in terms of a constrained superfield on the light-cone, without the use of auxiliary fields. We build its action to first order in the gravitational coupling constant \kappa,…

High Energy Physics - Theory · Physics 2007-07-09 Sudarshan Ananth , Lars Brink , Pierre Ramond

The equations of motion of the super five-brane in D=11 dimensions are derived using the formalism of superembeddings. The equations describe highly nonlinear self-interactions of a tensor multiplet in the six dimensional worlsurface, and…

High Energy Physics - Theory · Physics 2009-10-30 P. S. Howe , E. Sezgin
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