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Symmetries of M-theory and free Lie superalgebras

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arxiv 1809.09171 v2 pith:PHW4SXZZ submitted 2018-09-24 hep-th

classification hep-th
keywords somesuperalgebrafreem-theorypoincarquotientssuperalgebrasvarious
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abstract

We study systematically various extensions of the Poincar\'e superalgebra. The most general structure starting from a set of spinorial supercharges $Q_\alpha$ is a free Lie superalgebra that we discuss in detail. We explain how this universal extension of the Poincar\'e superalgebra gives rise to many other algebras as quotients, some of which have appeared previously in various places in the literature. In particular, we show how some quotients can be very neatly related to Borcherds superalgebras. The ideas put forward also offer some new angles on exotic branes and extended symmetry structures in M-theory.

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Cited by 1 Pith paper

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  1. On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions

    hep-th 2019-08 conditional novelty 6.0 of 10

    New infinite-dimensional superalgebras, the deformed and enlarged super-BMS3 algebras for N=1,2,4, are produced by S-expanding super-Virasoro and are related by a flat limit.

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