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We develop a nonlinear realisation approach to topologically massive supergravity in three dimensions, with and without a cosmological term. It is a natural generalisation of a similar construction for ${\cal N}=1$ supergravity in four…

High Energy Physics - Theory · Physics 2023-09-22 Sergei M. Kuzenko , Jake C. Stirling

By dimensional reduction of a massive BF theory, a new topological field theory is constructed in (2+1) dimensions. Two different topological terms, one involving a scalar and a Kalb-Ramond fields and another one equivalent to the…

High Energy Physics - Theory · Physics 2019-08-17 Deusdedit M. Medeiros , R. R. Landim , C. A. S. Almeida

We explore the nonlinear classical dynamics of the three-dimensional theory of "New Massive Gravity" proposed by Bergshoeff, Hohm and Townsend. We find that the theory passes remarkably highly nontrivial consistency checks at the nonlinear…

High Energy Physics - Theory · Physics 2015-05-27 Claudia de Rham , Gregory Gabadadze , David Pirtskhalava , Andrew J. Tolley , Itay Yavin

We study three-dimensional massive gravity formulated as a theory with two dynamical metrics, like the f-g theories of Isham-Salam and Strathdee. The action is parity preserving and has no higher derivative terms. The spectrum contains a…

High Energy Physics - Theory · Physics 2015-05-14 M. Banados , S. Theisen

Three-dimensional gravity in Anti-de Sitter space is considered, including torsion. The derivation of the central charges of the algebra that generates the asymptotic isometry group of the theory is reviewed, and a special point of the…

High Energy Physics - Theory · Physics 2011-08-02 Ricardo Couso Santamaria , Jose D. Edelstein , Alan Garbarz , Gaston Giribet

The four-dimensional model with topological mass generation that was found by Dvali, Jackiw and Pi has recently been generalized to any even number of dimensions (2n-dimensions) in a nontrivial manner in which a Stueckelberg-type mass term…

High Energy Physics - Theory · Physics 2008-12-30 Shinichi Deguchi

We present a class of mappings between models with topological mass mechanism and purely topological models in arbitrary dimensions. These mappings are established by directly mapping the fields of one model in terms of the fields of the…

High Energy Physics - Theory · Physics 2009-11-11 R. L. P. G. Amaral , O. S. Ventura , L. O. Buffon , J V Costa

We extend a recent classification of three-dimensional spatially isotropic homogeneous spacetimes to Chern--Simons theories as three-dimensional gravity theories on these spacetimes. By this we find gravitational theories for all…

High Energy Physics - Theory · Physics 2019-09-04 Javier Matulich , Stefan Prohazka , Jakob Salzer

We present a three dimensional non-relativistic model of gravity that is invariant under the central extension of the symmetry group that leaves the recently constructed Newtonian gravity action invariant. We show that the model arises from…

High Energy Physics - Theory · Physics 2019-08-22 Nese Ozdemir , Mehmet Ozkan , Orhan Tunca , Utku Zorba

We present a new class of three-dimensional $\mathcal{N}$-extended supergravity theories based on the $\mathcal{N}$-extended Maxwell superalgebra with central charges and $\mathfrak{so}(\mathcal{N})$ internal symmetry generators. The…

High Energy Physics - Theory · Physics 2019-04-10 Patrick Concha

In this paper we consider a model for gravity in 4-dimensional space-time originally proposed by Chamseddine, which may be derived by dimensional reduction and truncation from a 5-dimensional Chern-Simons theory. Its topological origin…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Ivan Morales , Bruno Neves , Zui Oporto , Olivier Piguet

We propose an action to describe high spin topologically massive gravity with a negative cosmological constant. With the frame-like fields and spin connections being combined into two gauge fields, the action includes two gauge field…

High Energy Physics - Theory · Physics 2015-05-30 Bin Chen , Jiang Long

We consider a deformation of five-dimensional warped gravity with bulk and boundary mass terms to quadratic order in the action. We show that massless zero modes occur for special choices of the masses. The tensor zero mode is a smooth…

High Energy Physics - Theory · Physics 2013-05-29 Tony Gherghetta , Marco Peloso , Erich Poppitz

We perform the Dirac hamiltonian analysis of a four-dimensional gauge theory of gravity with an action of topological type, which generalizes some well-known two-dimensional models. We show that, in contrast with the two-dimensional case,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S. Mignemi

It is shown that the action for topological gravity in even dimensions is, except by a multiplicative constant, a gauged Wess-Zumino-Witten Term.

Mathematical Physics · Physics 2015-05-14 Patricio Salgado , Patricio Salgado-Rebolledo , Omar Valdivia

We present a second order gravity action which consists of ordinary Einstein action augmented by a first-order, vector like, Chern-Simons quasi topological term. This theory is ghost-free and propagates a pure spin-2 mode. It is…

High Energy Physics - Theory · Physics 2007-05-23 C. Aragone , P. J. Arias , A. Khoudeir

Schwinger's mechanism for mass generation relies on topological structures of a 2-dimensional gauge theory. In the same manner, corresponding 4-dimensional topological entities give rise to topological mass generation in four dimensions.

High Energy Physics - Theory · Physics 2008-11-26 Gia Dvali , R. Jackiw , So - Young Pi

We study the geometries generated by two-dimensional causal dynamical triangulations (CDT) coupled to $d$ massless scalar fields. Using methods similar to those used to study four-dimensional CDT we show that there exists a $c=1$ "barrier",…

General Relativity and Quantum Cosmology · Physics 2015-06-03 J. Ambjorn , A. T. Goerlich , J. Jurkiewicz , H. -G. Zhang

In this work we present novel and known three-dimensional hypergravity theories which are obtained by applying the powerful semigroup expansion method. We show that the expansion procedure considered here yields a consistent way of coupling…

High Energy Physics - Theory · Physics 2023-04-24 Ricardo Caroca , Patrick Concha , Javier Matulich , Evelyn Rodríguez , David Tempo

We formulate noncommutative three-dimensional (3d) gravity by making use of its connection with 3d Chern-Simons theory. In the Euclidean sector, we consider the particular example of topology $T^2 \times R$ and show that the 3d black hole…

High Energy Physics - Theory · Physics 2009-08-13 M. Banados , O. Chandia , N. Grandi , F. A. Schaposnik , G. A. Silva