English

Minimal AdS-Lorentz supergravity in three-dimensions

High Energy Physics - Theory 2018-12-03 v4 General Relativity and Quantum Cosmology Mathematical Physics math.MP

Abstract

The N=1\mathcal{N}=1 AdS-Lorentz superalgebra is studied and its relationship to semigroup expansion developed. Using this mathematical tool, the invariant tensors and Casimir operators are found. In terms of these invariants, a three-dimensionnal Chern--Simons supergravity action with AdS-Lorentz symmetry is constructed. The Killing spinors for a BTZ black-hole like solution of the theory are discussed.

Keywords

Cite

@article{arxiv.1401.3697,
  title  = {Minimal AdS-Lorentz supergravity in three-dimensions},
  author = {O. Fierro and F. Izaurieta and P. Salgado and O. Valdivia},
  journal= {arXiv preprint arXiv:1401.3697},
  year   = {2018}
}

Comments

18 pages, matches published version

R2 v1 2026-06-22T02:46:27.899Z