Three-dimensional hypergravity theories and semigroup expansion method
Three-dimensional hypergravity theories and semigroup expansion method
Authors
Caroca, Ricardo
Concha, Patrick
Matulich, Javier
Rodriguez, Evelyn
Tempo, David
Concha, Patrick
Matulich, Javier
Rodriguez, Evelyn
Tempo, David
Profesor GuĆa
Authors
Date
Datos de publicaciĆ³n:
10.1007/JHEP08(2023)215
JOURNAL OF HIGH ENERGY PHYSICS,Vol.,2023
JOURNAL OF HIGH ENERGY PHYSICS,Vol.,2023
Tipo de recurso
Article
Keywords
Materia geogrƔfica
Collections
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-5/2 gauge fields. First, by expanding the osp (1|4) superalgebra with a particular semigroup a generalized hyper-Poincare algebra is found. Interestingly, the hyper-Poincare and hyper-Maxwell algebras appear as subalgebras of this generalized hypersymmetry algebra. Then, we show that the generalized hyper-Poincare 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 Inonu-Wigner contraction which can be seen as a generalization of the existing vanishing cosmological constant limit between the hyper-AdS and hyper-Poincare gravity theories.