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Related papers: New Canonical Variables for d=11 Supergravity

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We study the canonical description of the axisymmetric vacuum in 2+1 dimensional gravity, treating Einstein's gravity as a Chern Simons gauge theory on a manifold with the restriction that the dreibein is invertible. Our treatment is in the…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Souvik Sarkar , Cenalo Vaz

We present the locally supersymmetric formulation of unimodular gravity theory in D (1\le D \le 11) dimensions, namely supergravity theory with the metric tensor whose determinant is constrained to be unity. In such a formulation, the usual…

High Energy Physics - Theory · Physics 2009-11-07 Hitoshi Nishino , Subhash Rajpoot

We construct exceptional field theory for the duality group SL(3)$\times$SL(2). The theory is defined on a space with 8 `external' coordinates and 6 `internal' coordinates in the $(3,2)$ fundamental representation, leading to a…

High Energy Physics - Theory · Physics 2015-06-23 Olaf Hohm , Yi-Nan Wang

We show how three-dimensional superconformal theories for any number N <= 8 of supersymmetries can be obtained by taking a conformal limit of the corresponding three-dimensional gauged supergravity models. The superconformal theories are…

High Energy Physics - Theory · Physics 2008-11-26 Eric A. Bergshoeff , Olaf Hohm , Diederik Roest , Henning Samtleben , Ergin Sezgin

We argue that $\mathcal N=8$ supergravity in four dimensions exhibits an exceptional $E_{8(8)}$ symmetry, enhanced from the known $E_{7(7)}$ invariance. Our procedure to demonstrate this involves dimensional reduction of the $\mathcal N=8$…

High Energy Physics - Theory · Physics 2020-02-25 Sudarshan Ananth , Lars Brink , Sucheta Majumdar

We describe how one may use either the superPoincar\'e algebra or the exceptional algebra to construct maximal supergravity theories in the light-cone formalism. The d=4 construction shows both symmetries albeit in a non-linearly realized…

High Energy Physics - Theory · Physics 2020-02-25 Sudarshan Ananth , Lars Brink , Sucheta Majumdar

We examine the relationship between covariant and canonical (Ashtekar/Rovelli/Smolin) loop variables in the context of BF type topological field theories in 2+1 and 3+1 dimensions, with respective gauge groups SO(2,1) and SO(3,1). The…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Y. Bi , J. Gegenberg

Supergravity theories in more than four dimensions with grand unified gauge symmetries are an important intermediate step towards the ultraviolet completion of the Standard Model in string theory. Using toric geometry, we classify and…

High Energy Physics - Theory · Physics 2018-07-17 Wilfried Buchmuller , Markus Dierigl , Paul-Konstantin Oehlmann , Fabian Ruehle

We construct an infinite system of non-linear duality equations, including fermions, that are invariant under global E11 and gauge invariant under generalised diffeomorphisms upon the imposition of a suitable section constraint. We use…

High Energy Physics - Theory · Physics 2021-03-26 Guillaume Bossard , Axel Kleinschmidt , Ergin Sezgin

By studying the previously known holographic N=4 supersymmetric renormalization group flow(Gowdigere-Warner) in four dimensions, we find the mass deformed Chern-Simons matter theory which has N=4 supersymmetry by adding the four mass terms…

High Energy Physics - Theory · Physics 2014-11-18 Changhyun Ahn , Kyungsung Woo

Rough estimates are presented to show that the bump at 1.7 to 1.9 TeV seen in ATLAS-CONF-2010-088 could arise from about 10^{30} approximately degenerate Kaluza-Klein states of the d = 11 supergravity multiplet in the s channel, that could…

High Energy Physics - Theory · Physics 2011-07-12 Chris Austin

A discussion of the number of degrees of freedom, and their dynamical properties, in higher derivative gravitational theories is presented. The complete non-linear sigma model for these degrees of freedom is exhibited using the method of…

High Energy Physics - Theory · Physics 2008-02-03 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

We consider the most general SU(3) singlet space of gauged N=8 supergravity in four-dimensions. The SU(3)-invariant six scalar fields in the theory can be viewed in terms of six real four-forms. By exponentiating these four-forms, we…

High Energy Physics - Theory · Physics 2015-05-13 Changhyun Ahn , Kyungsung Woo

We find a supersymmetrization of the Bianchi IX cosmology in terms of Ashtekar's new variables. This provides a framework for connecting the recent results of Graham and those of Ryan and Moncrief for quantum states of this model. These…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Octavio Obregon , Jorge Pullin , Michael P. Ryan

Dimensional reductions of various higher dimensional (super)gravity theories lead to effectively two-dimensional field theories described by gravity coupled G/H nonlinear sigma-models. We show that a new set of complexified variables can be…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Othmar Brodbeck , Marco Zagermann

Five nontrivial stationary points are found for maximal gauged N=16 supergravity in three dimensions with gauge group $SO(8)\times SO(8)$ by restricting the potential to a submanifold of the space of $SU(3)\subset(SO(8)\times SO(8))_{\rm…

High Energy Physics - Theory · Physics 2009-11-07 Thomas Fischbacher

All purely bosonic supersymmetric solutions of minimal supergravity in five dimensions are classified. The solutions preserve either one half or all of the supersymmetry. Explicit examples of new solutions are given, including a large…

High Energy Physics - Theory · Physics 2009-11-07 Jerome P. Gauntlett , Jan B. Gutowski , Christopher M. Hull , Stathis Pakis , Harvey S. Reall

We consider the bosonic and fermionic symmetries of five-dimensional Maxwell- and Yang-Mills-Einstein supergravity theories on a spacetime with boundaries (isomorphic to M x S1/Z2). Due to the appearance of the "Chern-Simons" term, the…

High Energy Physics - Theory · Physics 2008-11-26 Sean McReynolds

This article elaborates on an off-shell formulation of D=4, N=1 supergravity whose auxiliary fields comprise an antisymmetric tensor field without gauge degrees of freedom. In particular, the relation to new minimal supergravity, a…

High Energy Physics - Theory · Physics 2021-04-12 Friedemann Brandt

Diaconescu, Moore and Witten have shown that the topological part of the M-theory partition function is an invariant of an E8 gauge bundle over the 11-dimensional bulk. This presents a puzzle as an 11d gauge theory cannot exhibit linearly…

High Energy Physics - Theory · Physics 2009-11-07 Jarah Evslin , Hisham Sati
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