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Symmetries of M-theory and free Lie superalgebras

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A bstractWe study systematically various extensions of the Poincaré superalgebra. The most general structure starting from a set of spinorial supercharges Qα is a free Lie superalgebra that we discuss… Click to show full abstract

A bstractWe study systematically various extensions of the Poincaré superalgebra. The most general structure starting from a set of spinorial supercharges Qα is a free Lie superalgebra that we discuss in detail. We explain how this universal extension of the Poincaré 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.

Keywords: theory free; lie superalgebras; symmetries theory; lie; free lie

Journal Title: Journal of High Energy Physics
Year Published: 2019

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