N = 2 resonant superalgebra for supergravity
Abstract
We present new superalgebra for $\mathcal{N}=2$ $D=3,4$ supergravity theory endowed with the $U(1)$ generator. The superalgebra is rooted in the so-called Soroka-Soroka algebra and spanned by the Lorentz $J_{ab}$ and Lorentz-like $Z_{ab}$, translation $P_a$ and $T$ generators, as well as two supercharges $Q^I_\alpha$. 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.
- Publication:
-
Physics Letters B
- Pub Date:
- October 2022
- DOI:
- 10.1016/j.physletb.2022.137366
- arXiv:
- arXiv:2205.05921
- Bibcode:
- 2022PhLB..83337366D
- Keywords:
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- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- E-Print:
- 12 pages, to appear in Phys. Lett. B