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N=2 resonant superalgebra for supergravity

Remigiusz Durka, Krzysztof M. Graczyk

Physics Letters B · 2022

doi:10.1016/j.physletb.2022.137366 (opens in a new tab)

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Abstract

We present new superalgebra for 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 Jab and Lorentz-like Zab, translation Pa and T generators, as well as two supercharges QαI. 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.

Abstract licence: CC BY

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