62 citations · 361 across the 15 of their papers we have counts for
16 papers
Resonant JPZ algebras and 3D Chern--Simons gravity
Remigiusz Durka, Nelson Merino, D. M. Peñafiel
In this work we construct three-dimensional Chern--Simons gravity theories for the six resonant algebras generated by the Lorentz generators , translations , and an…
Boson-fermion algebraic mapping in second quantization
F. Lingua, D. M. Peñafiel, L. Ravera +1
We present an algebraic method to derive the structure at the basis of the mapping of bosonic algebras of creation and annihilation operators into fermionic algebras, and vice vers…
Einstein gravity with generalized cosmological term from five-dimensional AdS-Maxwell-Chern-Simons gravity
L. Avilés, J. Diaz, D. M. Penafiel +2
Some time ago, the standard geometric framework of Einstein gravity was extended by gauging the Maxwell algebra as well as the so called AdS-Maxwell algebra. In this letter it is s…
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…
Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant
Patrick Concha, Diego Peñafiel, Lucrezia Ravera +1
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 space…
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…
Non-relativistic symmetries in three space-time dimensions and the Nappi-Witten algebra
Diego M. Peñafiel, Patricio Salgado-Rebolledo
We show that the Extended Bargmann and Newton-Hooke algebras in 2+1 dimensions can be obtained as expansions of the Nappi-Witten algebra. The result can be generalized to obtain tw…
On the Maxwell supergravity and flat limit in 2+1 dimensions
Patrick Concha, Diego M. Peñafiel, Evelyn Rodríguez
The construction of the three-dimensional Chern-Simons supergravity theory invariant under the minimal Maxwell superalgebra is presented. We obtain a supergravity action without co…
Generalized cosmological term in D=4 supergravity from a new AdS-Lorentz superalgebra
Diego M. Peñafiel, Lucrezia Ravera
A new supersymmetrization of the so-called AdS-Lorentz algebra is presented. It involves two fermionic generators and is obtained by performing an abelian semigroup expansion of th…
On the Hidden Maxwell Superalgebra underlying D=4 Supergravity
D. M. Peñafiel, L. Ravera
In this work, we expand the hidden -Lorentz superalgebra underlying supergravity, reaching a (hidden) Maxwell superalgebra. The latter can be viewed as an extension invo…
Infinite S-Expansion with Ideal Subtraction and Some Applications
D. M. Peñafiel, L. Ravera
According to the literature, the S-expansion procedure involving a finite semigroup is valid no matter what the structure of the original Lie (super)algebra is; However, when somet…
An Analytic Method for -Expansion involving Resonance and Reduction
M. C. Ipinza, F. Lingua, D. M. Peñafiel +1
In this paper we describe an analytic method able to give the multiplication table(s) of the set(s) involved in an -expansion process (with either resonance or -resonant-re…
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…
Generalized Poincare algebras and Lovelock-Cartan gravity theory
P. K. Concha, D. M. Peñafiel, E. K. Rodríguez +1
We show that the Lagrangian for Lovelock-Cartan gravity theory can be re-formulated as an action which leads to General Relativity in a certain limit. In odd dimensions the Lagrang…
Chern-Simons and Born-Infeld gravity theories and Maxwell algebras type
P. K. Concha, D. M. Peñafiel, E. K. Rodríguez +1
Recently was shown that standard odd and even-dimensional General Relativity can be obtained from a -dimensional Chern-Simons Lagrangian invariant under the alge…
Even-dimensional General Relativity from Born-Infeld gravity
P. K. Concha, D. M. Peñafiel, E. K. Rodríguez +1
It is an accepted fact that requiring the Lovelock theory to have the maximun possible number of degree of freedom, fixes the parameters in terms of the gravitational and the cosmo…