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arXiv · 1908.09150

On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions

Ricardo Caroca·Patrick Concha·Octavio Fierro·Evelyn Rodríguez
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Abstract

In this work we obtain known and new supersymmetric extensions of diverse asymptotic symmetries defined in three spacetime dimensions by considering the semigroup expansion method. The super-$BMS_3$, the superconformal algebra and new infinite-dimensional superalgebras are obtained by expanding the super-Virasoro algebra. The new superalgebras obtained are supersymmetric extensions of the asymptotic algebras of the Maxwell and the $\mathfrak{so}(2,2)\oplus\mathfrak{so}(2,1)$ gravity theories. We extend our results to the $\mathcal{N}=2$ and $\mathcal{N}=4$ cases and find that R-symmetry generators are required. We also show that the new infinite-dimensional structures are related through a flat limit $\ell \rightarrow \infty$.

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Ricardo Caroca, Patrick Concha, Octavio Fierro, Evelyn Rodríguez. 2019-08-24. On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions. https://doi.org/10.1140/epjc%2Fs10052-019-7595-5

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