Non-relativistic three-dimensional supergravity theories and semigroup expansion method

P Concha, M Ipinza, L Ravera, E Rodríguez - Journal of High Energy …, 2021 - Springer
A bstract In this work we present an alternative method to construct diverse non-relativistic
Chern-Simons supergravity theories in three spacetime dimensions. To this end, we apply …

Generalizing the and 2D-conformal algebras by expanding the Virasoro algebra

R Caroca, P Concha, E Rodríguez… - The European Physical …, 2018 - Springer
By means of the Lie algebra expansion method, the centrally extended conformal algebra in
two dimensions and the bms _ 3 bms 3 algebra are obtained from the Virasoro algebra. We …

[HTML][HTML] Generalized Chern–Simons higher-spin gravity theories in three dimensions

R Caroca, P Concha, O Fierro, E Rodríguez… - Nuclear Physics B, 2018 - Elsevier
The coupling of spin-3 gauge fields to three-dimensional Maxwell and AdS-Lorentz gravity
theories is presented. After showing how the usual spin-3 extensions of the AdS and the …

Three-dimensional Maxwellian Extended Newtonian gravity and flat limit

P Concha, L Ravera, E Rodríguez, G Rubio - Journal of High Energy …, 2020 - Springer
A bstract In the present work we find novel Newtonian gravity models in three space-time
dimensions. We first present a Maxwellian version of the extended Newtonian gravity, which …

On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions

R Caroca, P Concha, O Fierro, E Rodríguez - The European Physical …, 2020 - Springer
In this work we obtain known and new supersymmetric extensions of diverse asymptotic
symmetries defined in three spacetime dimensions by considering the semigroup expansion …

[HTML][HTML] Resonant superalgebras and N= 1 supergravity theories in three spacetime dimensions

P Concha, R Durka, E Rodríguez - Physics Letters B, 2020 - Elsevier
We explore N= 1 supersymmetric extensions of algebras going beyond the Poincaré and
AdS ones in three spacetime dimensions. Besides reproducing two known examples, we …

On the algorithm to find S-related Lie algebras

C Inostroza, I Kondrashuk, N Merino… - Journal of Physics …, 2018 - iopscience.iop.org
In this article we describe the Java library that we have recently constructed to automatize
the S-expansion method, a powerful mathematical technique allowing to relate different Lie …

On the number of possible resonant algebras

R Durka, K Grela - Journal of Physics A: Mathematical and …, 2020 - iopscience.iop.org
We investigate the number of distinct resonant algebras depending on the generator
content, which consists of the Lorentz generator, translation, and new additional Lorentz-like …

Generalizing the and 2D-conformal algebras by expanding the Virasoro algebra

R Caroca, P Concha, E Rodríguez… - arXiv preprint arXiv …, 2017 - arxiv.org
By means of the Lie algebra expansion method, the centrally extended conformal algebra in
two dimensions and the $\mathfrak {bms} _ {3} $ algebra are obtained from the Virasoro …