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Abstract: We explore Lie superalgebra deformations of the Killing superalgebras of someten-dimensional supergravity backgrounds. We prove the rigidity of the Poincaresuperalgebras in types I, IIA and IIB, as well as of the Killing superalgebraof the Freund-Rubin vacuum of type IIB supergravity. We also prove rigidity ofthe Killing superalgebras of the NS5, D0, D3, D4 and D5 branes, whereas weexhibit the possible deformations of the D1, D2, D6 and D7 brane Killingsuperalgebras, as well as of that of the type II fundamental string solutions.We relate the superalgebra deformations of the D2 and D6 branes to those of thedelocalised M2 brane and the Kaluza-Klein monopole, respectively. The goodbehaviour under Kaluza-Klein reduction suggests that the deformed superalgebrasought to have a geometric interpretation.



Autor: José Figueroa-O'Farrill, Bert Vercnocke

Fuente: https://arxiv.org/







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