42 citations · 219 across the 14 of their papers we have counts for
14 papers
Three-dimensional Hypergravity Theories and Semigroup Expansion Method
Ricardo Caroca, Patrick Concha, Javier Matulich +2
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 p…
Non-relativistic spin-3 symmetries in 2+1 dimensions from expanded/extended Nappi-Witten algebras
Ricardo Caroca, Diego M. Peñafiel, Patricio Salgado-Rebolledo
We show that infinite families of non-relativistic spin- symmetries in dimensions, which include higher-spin extensions of the Bargmann, Newton-Hooke, non-relativistic Max…
Hypersymmetric extensions of Maxwell Chern-Simons gravity in (2+1) dimensions
Ricardo Caroca, Patrick Concha, Javier Matulich +2
We present a consistent way of coupling three-dimensional Maxwell Chern-Simons gravity theory with massless spin- gauge fields. We first introduce the simplest hyper-M…
Three-dimensional teleparallel Chern-Simons supergravity theory
Ricardo Caroca, Patrick Concha, Diego Peñafiel +1
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…
On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions
Ricardo Caroca, Patrick Concha, Octavio Fierro +1
In this work we obtain known and new supersymmetric extensions of diverse asymptotic symmetries defined in three spacetime dimensions by considering the semigroup expansion method.…
Generalization of extended Lie algebras by expansions of extended de Sitter algebra, in four-dimensions
Ricardo Caroca
Four-dimensional extended: Poincaré, AdS-Lorentz and Maxwell algebras, are obtained by expanding an extension of de Sitter or conformal algebra, SO(4,1) or SO(3,2). The procedure c…
Three-dimensional Poincaré supergravity and -extended supersymmetric BMS algebra
Ricardo Caroca, Patrick Concha, Octavio Fierro +1
A new approach for obtaining the three-dimensional Chern-Simons supergravity for the Poincaré algebra is presented. The -extended Poincaré supergravity is obtained by…
Generalized Chern-Simons higher-spin gravity theories in three dimensions
Ricardo Caroca, Patrick Concha, Octavio Fierro +2
The coupling of spin-3 gauge fields to three-dimensional Maxwell and -Lorentz gravity theories is presented. After showing how the usual spin-3 extensions of the and the…
Generalizing the and 2D-conformal algebras by expanding the Virasoro algebra
Ricardo Caroca, Patrick Concha, Evelyn Rodríguez +1
By means of the Lie algebra expansion method, the centrally extended conformal algebra in two dimensions and the algebra are obtained from the Virasoro algebra…
Geometrical aspects of the Lie Algebra S-Expansion Procedure
M. Artebani, R. Caroca, M. C. Ipinza +2
In this article it is shown that S-Expansion procedure affects the geometry of a Lie group, changing it an leading us to the geometry of another Lie group with higher dimensionalit…
Bianchi spaces and their 3-dimensional isometries as S-expansions of 2-dimensional isometries
Ricardo Caroca, Igor Kondrashuk, Nelson Merino +1
In this paper we show that some 3-dimensional isometry algebras, specifically those of type I, II, III and V (according Bianchi's classification), can be obtained as expansions of…
Lie Group S-Expansions and Infinite-dimensional Lie algebras
Hernán Astudillo, Ricardo Caroca, Alfredo Pérez +1
The expansion method of Lie algebras by a semigroup or S-expansion is generalized to act directly on the group manifold, and not only at the level of its Lie algebra. The consisten…
Generating Higher-Order Lie Algebras by Expanding Maurer Cartan Forms
Ricardo Caroca, Nelson Merino, Alfredo Pérez +1
By means of a generalization of the Maurer-Cartan expansion method we construct a procedure to obtain expanded higher-order Lie algebras. The expanded higher order Maurer-Cartan eq…
S-Expansion of Higher-Order Lie Algebras
Ricardo Caroca, Nelson Merino, Patricio Salgado
By means of a generalization of the S-expansion method we construct a procedure to obtain expanded higher-order Lie algebras. It is shown that the direct product between an Abelian…