Three-dimensional hypergravity theories and semigroup expansion method
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Date
Authors
TEMPO RANGEL, JOSE DAVID
Caroca, Ricardo
Concha, Patrick K.
Matulich, Javier
Rodríguez, Evelyn K.
Tempo, David
Caroca, Ricardo
Concha, Patrick K.
Matulich, Javier
Rodríguez, Evelyn K.
Tempo, David
Authors
Date
Datos de publicación:
10.1007/JHEP08(2023)215
Keywords
Chern-simons Theories - Higher Spin Gravity - Higher Spin Symmetry - Supergravity Models
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Abstract
In this work, we apply the semigroup expansion method of Lie algebras to construct novel and known three-dimensional hypergravity theories. We show that the expansion procedure considered here yields a consistent way of coupling different three-dimensional Chern-Simons gravity theories with massless spin- 52 gauge fields. First, by expanding the osp (1|4) superalgebra with a particular semigroup a generalized hyper-Poincaré algebra is found. Interestingly, the hyper-Poincaré and hyper-Maxwell algebras appear as subalgebras of this generalized hypersymmetry algebra. Then, we show that the generalized hyper-Poincaré CS gravity action can be written as a sum of diverse hypergravity CS Lagrangians. We extend our study to a generalized hyper-AdS gravity theory by considering a different semigroup. Both generalized hyperalgebras are then found to be related through an Inönü-Wigner contraction which can be seen as a generalization of the existing vanishing cosmological constant limit between the hyper-AdS and hyper-Poincaré gravity theories. © 2023 Elsevier B.V., All rights reserved.
Description
Keywords
Chern-simons Theories , Higher Spin Gravity , Higher Spin Symmetry , Supergravity Models
Citation
10.1007/JHEP08(2023)215