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The construction of the three-dimensional Chern-Simons supergravity theory invariant under the minimal Maxwell superalgebra is presented. We obtain a supergravity action without cosmological constant term characterized by three coupling…

High Energy Physics - Theory · Physics 2018-09-26 Patrick Concha , Diego M. Peñafiel , Evelyn Rodríguez

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

We present a consistent way of coupling three-dimensional Maxwell Chern-Simons gravity theory with massless spin-$\frac{5}{2}$ gauge fields. We first introduce the simplest hyper-Maxwell Chern-Simons gravity containing two massless spin-2…

High Energy Physics - Theory · Physics 2021-09-15 Ricardo Caroca , Patrick Concha , Javier Matulich , Evelyn Rodríguez , David Tempo

We present a novel three-dimensional non-relativistic Chern-Simons supergravity theory invariant under a Maxwellian extended Bargmann superalgebra. We first study the non-relativistic limits of the minimal and the $\mathcal{N}=2$ Maxwell…

High Energy Physics - Theory · Physics 2020-04-14 Patrick Concha , Lucrezia Ravera , Evelyn Rodríguez

We study a three-dimensional Chern-Simons gravity theory based on the Maxwell algebra. We find that the boundary dynamics is described by an enlargement and deformation of the $\mathfrak{bms}_3$ algebra with three independent central…

High Energy Physics - Theory · Physics 2018-10-16 Patrick Concha , Nelson Merino , Olivera Miskovic , Evelyn Rodríguez , Patricio Salgado-Rebolledo , Omar Valdivia

We construct the D=3, N=5 harmonic superspace using the SO(5)/U(1) x U(1) harmonics. Three gauge harmonic superfields satisfy the off-shell constraints of the Grassmann and harmonic analyticities. The corresponding component supermultiplet…

High Energy Physics - Theory · Physics 2008-11-26 B. M. Zupnik

In this paper we show how the method of Lie algebra expansions may be used to obtain, in a simple way, both the extended Bargmann Lie superalgebra and the Chern-Simons action associated to it in three dimensions, starting from $D=3$,…

High Energy Physics - Theory · Physics 2019-09-04 José A. de Azcárraga , Diego Gútiez , José M. Izquierdo

In this paper we present the Hietarinta Chern-Simons supergravity theory in three space-time dimensions which extends the simplest Poincar\'e supergravity theory. After approaching the construction of the action using the Chern-Simons…

High Energy Physics - Theory · Physics 2024-12-31 Patrick Concha , Octavio Fierro , Evelyn Rodríguez

We present the construction of the $D=4$ supergravity action from the minimal Maxwell superalgebra $s\mathcal{M}_{4}$, which can be derived from the $\mathfrak{osp}\left( 4|1\right) $ superalgebra by applying the abelian semigroup expansion…

High Energy Physics - Theory · Physics 2014-09-19 P. K. Concha , E. K. Rodríguez

In this paper we present a torsional non-relativistic Chern-Simons teleparallel (super)gravity theory in three spacetime dimensions. We start by developing the non-relativistic limit of the purely bosonic relativistic teleparallel…

High Energy Physics - Theory · Physics 2022-05-24 Patrick Concha , Lucrezia Ravera , Evelyn Rodríguez

In this work, we expand the hidden $AdS$-Lorentz superalgebra underlying $D=4$ supergravity, reaching a (hidden) Maxwell superalgebra. The latter can be viewed as an extension involving cosmological constant of the superalgebra underlying…

High Energy Physics - Theory · Physics 2018-01-30 D. M. Peñafiel , L. Ravera

Based on recent discussions on the so-called unconventional supersymmetry, we analyze a class of solutions of a 5D Chern-Simons AdS-$\mathcal{N}$-SUGRA formulation without gravitino fields. With a Randall-Sundrum-type ansatz, we exploit the…

High Energy Physics - Theory · Physics 2018-04-17 Y. M. P. Gomes

In this work, we present the three-dimensional Maxwell Carroll gravity by considering the ultra-relativistic limit of the Maxwell Chern-Simons gravity theory defined in three spacetime dimensions. We show that an extension of the Maxwellian…

High Energy Physics - Theory · Physics 2021-11-03 Patrick Concha , Diego Peñafiel , Lucrezia Ravera , Evelyn Rodríguez

We consider the superspace of D=3, N=5 supersymmetry using SO(5)/U(2) harmonic coordinates. Three analytic N=5 gauge superfields depend on three vector and six harmonic bosonic coordinates and also on six Grassmann coordinates.…

High Energy Physics - Theory · Physics 2008-12-25 B. M. Zupnik

We present a three-dimensional Chern-Simons gravity based on a deformation of the Maxwell algebra. This symmetry allows introduction of a non-vanishing torsion to the Maxwell Chern-Simons theory, whose action recovers the Mielke-Baelker…

High Energy Physics - Theory · Physics 2020-11-02 H. Adami , P. Concha , E. Rodriguez , H. R. Safari

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

In this paper, we present novel non-relativistic superalgebras which correspond to supersymmetric extensions of the enlarged extended Bargmann algebra. The three-dimensional non-relativistic Chern-Simons supergravity actions invariant under…

High Energy Physics - Theory · Physics 2021-02-23 Patrick Concha , Lucrezia Ravera , Evelyn Rodríguez

In this work we analyze the asymptotic symmetries of the three-dimensional Chern-Simons (CS) gravity theory for a higher spin extension of the so-called Maxwell algebra. We propose a generalized set of asymptotic boundary conditions for the…

High Energy Physics - Theory · Physics 2025-02-26 Patrick Concha , Javier Matulich , Daniel Pino , Evelyn Rodríguez

A Chern-Simons action for supergravity in odd-dimensional spacetimes is proposed. For all odd dimensions, the local symmetry group is a non trivial supersymmetric extension of the Poincar\'e group. In $2+1$ dimensions the gauge group…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Maximo Banados , Ricardo Troncoso , Jorge Zanelli

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
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