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Related papers: Extended massive gravity in three dimensions

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For extended $\mathcal{N}\leq 8$ supersymmetry we classify all possible gauge groups for a scalar multiplet allowed by the algebras of global and local supersymmetry in three dimensions. A detailed discussion of supersymmetry enhancement is…

High Energy Physics - Theory · Physics 2018-08-10 Frederik Lauf , Ivo Sachs

Chern-Simons models for gravity are interesting because they provide with a truly gauge-invariant action principle in the fiber-bundle sense. So far, their main drawback has largely been the perceived remoteness from standard General…

High Energy Physics - Theory · Physics 2014-11-18 Fernando Izaurieta , Paul Minning , Alfredo Pérez , Eduardo Rodríguez , Patricio Salgado

We present a new mass generation mechanism for linearized gravity in three spacetime dimensions, which consists of a lower-dimensional Chern-Simons-like term added to the invariant action. The propagators of the gauge fixed massive action…

High Energy Physics - Theory · Physics 2025-08-20 Erica Bertolini , Edoardo Lui , Nicola Maggiore

Higher-spin gravity in three dimensions is efficiently formulated as a Chern-Simons gauge-theory, typically with gauge algebra sl(N)+sl(N). The classical and quantum properties of the higher-spin theory depend crucially on the embedding…

High Energy Physics - Theory · Physics 2013-06-18 H. Afshar , M. Gary , D. Grumiller , R. Rashkov , M. Riegler

We present a 3-dimensional model for massive gravity with masses induced by topological (Chern-Simons) and Proca-like mass terms. Causality and unitarity are discussed at tree-level. Power-counting renormalizability is also contemplated.

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carlos Pinheiro , Gentil O. Pires , N. Tomimura

We construct higher-derivative gravity theories in three dimensions that admit holographic $c$-theorems and exhibit a unique maximally symmetric vacuum, at arbitrary order $n$ in the curvature. We show that these theories exhibit special…

High Energy Physics - Theory · Physics 2024-07-02 Mariano Chernicoff , Gaston Giribet , Javier Moreno , Julio Oliva , Raul Rojas , Cielo Ramirez de Arellano Torres

We introduce a novel reformulation of three-dimensional gravity in terms of divergenceless vector frames, inspired by the double copy for Chern-Simons theory. This formulation is on-shell equivalent to conventional 3D gravity and provides a…

High Energy Physics - Theory · Physics 2026-03-31 Maor Ben-Shahar , Francesco Bonechi , Maxim Zabzine

We analyze the most general case of third-order Chern-Simons-like theories of massive 3D gravity. Results show the conditions for finding the unitary regions on the parameter space. There exists $(n-1)$th order theories on the boundary of a…

High Energy Physics - Theory · Physics 2020-10-09 Sinan Sevim , M. Salih Zöğ

In this work we introduce a cosmological constant in the extended Newtonian gravity theory. To this end, we extend the exotic Newton-Hooke algebra by introducing new generators and central charges. The new algebra obtained here has been…

High Energy Physics - Theory · Physics 2020-03-27 Patrick Concha , Lucrezia Ravera , Evelyn Rodríguez

We construct a generalized massive gravity by combining quadratic curvature gravity with the Chern-Simons term in four dimensions. This may be a candidate for the parity-odd tricritical gravity theory. Considering the AdS$_4$ vacuum…

High Energy Physics - Theory · Physics 2015-06-05 Taeyoon Moon , Yun Soo Myung

We use the Chern-Simons formulation of higher spin theories in three dimensions to study aspects of holographic W-gravity. Concepts which were useful in studies of pure bulk gravity theories, such as the Fefferman-Graham gauge and the…

High Energy Physics - Theory · Physics 2016-06-22 Wei Li , Stefan Theisen

We show that an extended $3D$ Schr\"odinger algebra introduced in [1] can be reformulated as a $3D$ Poincar\'e algebra extended with an SO(2) R-symmetry generator and an $SO(2)$ doublet of bosonic spin-1/2 generators whose commutator closes…

High Energy Physics - Theory · Physics 2019-07-29 Dmitry Chernyavsky , Dmitri Sorokin

We construct supersymmetric deformations of general, locally supersymmetric, nonlinear sigma models in three spacetime dimensions, by extending the pure supergravity theory with a Chern-Simons term and gauging a subgroup of the sigma model…

High Energy Physics - Theory · Physics 2010-04-05 Bernard de Wit , Ivan Herger , Henning Samtleben

We consider models involving the higher (third) derivative extension of the abelian Chern-Simons (CS) topological term in D=2+1 dimensions. The polarisation vectors in these models reveal an identical structure with the corresponding…

High Energy Physics - Theory · Physics 2009-11-07 Sarmishtha Kumar

We present a generalization of the so-called Maxwellian extended Bargmann algebra by considering a non-relativistic limit to a generalized Maxwell algebra defined in three spacetime dimensions. The non-relativistic Chern-Simons gravity…

High Energy Physics - Theory · Physics 2020-07-02 Patrick Concha , Marcelo Ipinza , Evelyn Rodríguez

We present a supersymmetric extension of the exotic Newtonian Chern-Simons gravity theory in three spacetime dimensions. The underlying new non-relativistic superalgebra is obtained by expanding the $\mathcal{N}=2$ AdS superalgebra and can…

High Energy Physics - Theory · Physics 2021-07-27 Patrick Concha , Lucrezia Ravera , Evelyn Rodríguez

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

In an odd-dimensional spacetime, gravity can be formulated as a proper gauge theory based on the Chern-Simons action for a suitable gauge group. Performing dimensional reduction, one obtains, as an effective theory, Chamseddine's…

High Energy Physics - Theory · Physics 2024-01-31 Dušan Đorđević , Dragoljub Gočanin

Considering Chern-Simons like gravity theories in three dimensions as first order systems, we analyze the Hamiltonian structure of three theories Topological massive gravity, New massive gravity, and Zwei-Dreibein Gravity.We show that these…

High Energy Physics - Theory · Physics 2018-02-06 Mahdi Hajihashemi , Ahmad Shirzad

Partially massless theory in three dimensions is revisited and its relationship with the self-dual massive gravity is considered. The only mode of the partially massless theory is shown explicitly through an action for a scalar field on…

High Energy Physics - Theory · Physics 2022-05-04 Daniel Galviz , Adel Khoudeir