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We construct the non-linear realisation of the semi-direct product of E11 and its vector representation in its decomposition into the subalgebra GL(7)x SL(5) to find a seven dimensional theory. The resulting equations of motion essentially…

High Energy Physics - Theory · Physics 2019-09-25 Michaella Pettit , Peter West

We consider five-dimensional supergravity theories with eight or sixteen supercharges with Abelian vector fields and ungauged scalars. We address the question under which conditions these theories can be interpreted as effective low energy…

High Energy Physics - Theory · Physics 2015-06-15 Federico Bonetti , Thomas W. Grimm , Stefan Hohenegger

We study the number of propagating degrees of freedom, at non-linear order, in torsion gravity theories, a class of modified theories of gravity that include a propagating torsion in addition to the metric. We focus on a three-parameter…

General Relativity and Quantum Cosmology · Physics 2025-01-23 Thibault Damour , Tamanna Jain

We propose an off-shell construction of three-dimensional N = 3 and N = 4 superconformal Abelian Chern-Simons theories in the projective superspace formalism. We also construct coupling terms among the gauge fields and matter…

High Energy Physics - Theory · Physics 2012-05-29 Masato Arai , Shin Sasaki

N=(1,0) supergravity in six dimensions admits AdS_3\times S^3 as a vacuum solution. We extend our recent results presented in hep-th/0212323, by obtaining the complete N=4 Yang-Mills-Chern-Simons supergravity in D=3, up to quartic fermion…

High Energy Physics - Theory · Physics 2009-10-07 H. Lu , C. N. Pope , E. Sezgin

This thesis consists of two parts, connected by one central theme: the dynamics of the "shape of space". The first part of the thesis concerns the construction of a theory of gravity dynamically equivalent to general relativity (GR) in 3+1…

General Relativity and Quantum Cosmology · Physics 2011-08-25 Henrique Gomes

Noncommutative three-dimensional gravity can be described in terms of a noncommutative Chern-Simons theory. We extend this structure and also propose an action for gravitational fields on an even dimensional noncommutative space. The action…

High Energy Physics - Theory · Physics 2009-11-07 V. P. Nair

The title of this article refers to analytic continuation of three-dimensional Chern-Simons gauge theory away from integer values of the usual coupling parameter k, to explore questions such as the volume conjecture, or analytic…

High Energy Physics - Theory · Physics 2010-08-31 Edward Witten

We perform a canonical and BRST analysis of a seven-dimensional Chern-Simons theory on a manifold with boundary. The main result is that the 7D theory induces for consistency a chiral two-form on the 6D boundary. We also comment on similar…

High Energy Physics - Theory · Physics 2007-05-23 Jens Fjelstad

Scalar fields with masses protected by global shift symmetries, commonly referred to as axions, are abundantly used in effective field theories in cosmology and particle physics. However, global symmetries cannot be expected to be protected…

High Energy Physics - Theory · Physics 2026-01-30 Florian Niedermann , Ziqi Yan

We provide a metric-like formulation of the spin-3 gravity in three dimensions. It is shown that the Chern-Simons formulation of the spin-3 gravity can be reformulated as a Einstein-Cartan-Sciama-Kibble theory coupled with the higher-spin…

High Energy Physics - Theory · Physics 2015-06-22 Zhi-Qiang Guo

We show that topological 3D gravity with torsion can be formulated as a Chern-Simons gauge theory, provided a specific parameter, known as the effective cosmological constant, is negative. In that case, the boundary dynamics of the theory…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Blagojevic , M. Vasilic

We describe "small bodies" in a non-metric gravity theory previously studied by this author. The main dynamical field of the theory is a certain triple of two-forms rather than the metric, with only the spacetime conformal structure, not…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Kirill Krasnov

An extension of the AGT relation from two to three dimensions begins from connecting the theory on domain wall between some two S-dual SYM models with the 3d Chern-Simons theory. The simplest kind of such a relation would presumably connect…

High Energy Physics - Theory · Physics 2015-05-27 D. Galakhov , A. Mironov , A. Morozov , A. Smirnov

We study Chern-Simons theory on 3-manifolds M that are circle-bundles over 2-dimensional orbifolds S by the method of Abelianisation. This method, which completely sidesteps the issue of having to integrate over the moduli space of…

High Energy Physics - Theory · Physics 2015-06-16 Matthias Blau , George Thompson

These lectures are intended as a broad introduction to Chern Simons gravity and supergravity. The motivation for these theories lies in the desire to have a gauge invariant action -in the sense of fiber bundles- in more than three…

High Energy Physics - Theory · Physics 2007-05-23 Jorge Zanelli

We show that three-dimensional General Relativity, augmented with two vector fields, allows for a non-relativistic limit, different from the standard limit leading to Newtonian gravity, that results into a well-defined action which is of…

High Energy Physics - Theory · Physics 2016-06-29 Eric A. Bergshoeff , Jan Rosseel

In this work we present a gauge-invariant three-dimensional teleparallel supergravity theory using the Chern-Simons formalism. The present construction is based on a supersymmetric extension of a particular deformation of the Poincar\'e…

High Energy Physics - Theory · Physics 2021-09-15 Ricardo Caroca , Patrick Concha , Diego Peñafiel , Evelyn Rodríguez

Chern-Simons theories in three dimensions are topological field theories that may have a holographic interpretation for suitable chosen gauge groups and boundary conditions on the fields. Conformal Chern-Simons gravity is a topological…

High Energy Physics - Theory · Physics 2015-06-19 H. Afshar , A. Bagchi , S. Detournay , D. Grumiller , S. Prohazka , M. Riegler

We study higher-form symmetries in a low-energy effective theory of a massless axion coupled with a photon in $(3+1)$ dimensions. It is shown that the higher-form symmetries of this system are accompanied by a semistrict 3-group (2-crossed…

High Energy Physics - Theory · Physics 2020-08-18 Yoshimasa Hidaka , Muneto Nitta , Ryo Yokokura