English

$\mathcal{N}=2$ resonant superalgebra for supergravity

High Energy Physics - Theory 2022-08-10 v2 General Relativity and Quantum Cosmology

Abstract

We present new superalgebra for N=2\mathcal{N}=2 D=3,4D=3,4 supergravity theory endowed with the U(1)U(1) generator. The superalgebra is rooted in the so-called Soroka-Soroka algebra and spanned by the Lorentz JabJ_{ab} and Lorentz-like ZabZ_{ab}, translation PaP_a and TT generators, as well as two supercharges QαIQ^I_\alpha. It is the only possible realization for a given generator content. We construct a corresponding 3D Chern-Simons supergravity realization of the superalgebra and discuss its relevance.

Keywords

Cite

@article{arxiv.2205.05921,
  title  = {$\mathcal{N}=2$ resonant superalgebra for supergravity},
  author = {Remigiusz Durka and Krzysztof M. Graczyk},
  journal= {arXiv preprint arXiv:2205.05921},
  year   = {2022}
}

Comments

12 pages, to appear in Phys. Lett. B

R2 v1 2026-06-24T11:15:07.655Z