Author:
Caroca Ricardo,Concha Patrick,Fierro Octavio,Rodríguez Evelyn
Abstract
AbstractIn 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-$$BMS_3$$BMS3, 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 $$\mathfrak {so}(2,2)\oplus \mathfrak {so}(2,1)$$so(2,2)⊕so(2,1) gravity theories. We extend our results to the $$\mathcal {N}=2$$N=2 and $$\mathcal {N}=4$$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 $$\ell \rightarrow \infty $$ℓ→∞.
Funder
Fondo Nacional de Desarrollo Científico y Tecnológico
Universidad Católica de la Santísima Concepción
Comisión Nacional de Investigación Científica y Tecnológica
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
Cited by
17 articles.
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