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Instantons, monopoles and vortices have become paradigms of topological structures in field theory and quantum mechanics, with important applications in particle physics, astrophysics, condensed matter physics and mathematics. We have…

High Energy Physics - Theory · Physics 2014-08-29 Sarmistha Kumar

A generic massive Thirring Model in three space-time dimensions exhibits a correspondence with a topologically massive bosonized gauge action associated to a self-duality constraint, and we write down a general expression for this…

High Energy Physics - Theory · Physics 2009-11-07 M. Botta Cantcheff , J. A. Helayël-Neto

Using the superfield formalism and the master action approach, we prove, both at the classical and quantum levels, the dual equivalence between four-dimensional supersymmetric self-dual and topologically massive models coupled to dynamical…

High Energy Physics - Theory · Physics 2022-03-01 F. S. Gama , R. V. Maluf , J. R. Nascimento , A. Yu. Petrov , P. J. Porfirio

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

It is shown that topological massive gravity augmented by the triadic gravitational Chern-Simons first order term is a curved a pure spin-2 action. This model contains two massive spin-2 excitations. However, since its light-front energy is…

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

In this report we study the dual equivalence between the generalized self-dual (SD) and topologically massive (TM) models. To this end we linearize the model using an auxiliary field and apply a gauge embedding procedure to construct a…

High Energy Physics - Theory · Physics 2009-11-07 Anderson Ilha , Clovis Wotzasek

We review various off-shell formulations for interacting higher-spin systems in dimensions 3 and 4. Associated with higher-spin systems in spacetime dimension 4 is a Chern-Simons action for a superconnection taking its values in a direct…

The equivalence between Chern-Simons and Einstein-Hilbert actions in three dimensions established by A.~Ach\'ucarro and P.~K.~Townsend (1986) and E.~Witten (1988) is generalized to the off-shell case. The technique is also generalized to…

High Energy Physics - Theory · Physics 2020-01-15 Thiago S. Assimos , Rodrigo F. Sobreiro

We give a solution to the classical master equation of D=11 supergravity in the conventional component formulation. Based on a careful investigation of the symmetry algebra including terms proportional to the equation of motion, we…

High Energy Physics - Theory · Physics 2016-07-06 Yoji Michishita

The concept of electric-magnetic duality can be extended to linearized gravity. It has indeed been established that in four dimensions, the Pauli-Fierz action (quadratic part of the Einstein-Hilbert action) can be cast in a form that is…

High Energy Physics - Theory · Physics 2015-06-05 Claudio Bunster , Marc Henneaux , Sergio Hörtner

We derive a manifestly duality-symmetric formulation of the action principle for conformal gravity linearized around Minkowski space-time. The analysis is performed in the Hamiltonian formulation, the fourth-order character of the equations…

High Energy Physics - Theory · Physics 2021-05-26 Hapé Fuhri Snethlage , Sergio Hörtner

The purpose of this work is to present a model for 3D massive gravity with topological and higher-derivative terms. Causality and unitarity are discussed at tree-level. Power-counting renormalizability is also contemplated.

General Relativity and Quantum Cosmology · Physics 2015-06-25 Carlos Pinheiro , Gentil O. Pires , Claudio Sasaki

With two typical parent actions we have two kinds of dual worlds: i) one of which contains an electric as well as magnetic current, and ii) the other contains (generalized) Chern-Simons terms. All these fields are defined on a curved…

High Energy Physics - Theory · Physics 2009-11-07 Hisashi Echigoya , Tadashi Miyazaki , Tomohiko Shibuya

We give a general class of exact solutions to the (1+2)-dimensional topologically massive gravity model coupled with Maxwell-Chern-Simons theory where a "self-duality" condition is imposed on the Maxwell field.

General Relativity and Quantum Cosmology · Physics 2009-10-31 T. Dereli , O. Sarioglu

The solution space of three-dimensional asymptotically anti-de Sitter or flat Einstein gravity is given by the coadjoint representation of two copies of the Virasoro group in the former and the centrally extended BMS$_3$ group in the latter…

High Energy Physics - Theory · Physics 2017-12-20 Glenn Barnich , Hernan A. Gonzalez , Patricio Salgado-Rebolledo

We quantize the self-dual massive theory by using the Batalin-Tyutin Hamiltonian method, which systematically embeds second class constraint system into first class one in the extended phase space by introducing the new fields. Through this…

High Energy Physics - Theory · Physics 2009-10-28 Yong-Wan Kim , Young-Jai Park , Kee Yong Kim , Yongduk Kim

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

We investigate the $\mathcal{N} = 2$ supersymmetric generalization of the dual equivalence between the Maxwell-Chern-Simons model and two massive self-dual models. One of the self-dual models is described by a real scalar superfield, while…

High Energy Physics - Theory · Physics 2025-07-16 F. S. Gama , J. R. Nascimento , A. Yu. Petrov , P. J. Porfirio

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 use a recently proposed covariant procedure to reduce the Chern-Simons action of three-dimensional higher-spin gravity to the boundary, resulting in a Lorentz covariant action for higher-order chiral scalars. After gauge-fixing, we…

High Energy Physics - Theory · Physics 2025-04-15 Calvin Yi-Ren Chen , Euihun Joung , Karapet Mkrtchyan , Junggi Yoon