Symmetries of M-theory and free Lie superalgebras

Gomis, Joaquim; Kleinschmidt, Axel; Palmkvist, Jakob

doi:10.1007/JHEP03(2019)160

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Symmetries of M-theory and free Lie superalgebras

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Kleinschmidt, Axel
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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1809.09171.pdf
(プレプリント), 389KB

SymmetriesOfM-theoryAndFreeLie.pdf
(出版社版), 461KB

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引用

Gomis, J., Kleinschmidt, A., & Palmkvist, J. (2019). Symmetries of M-theory and free Lie superalgebras. Journal of high energy physics: JHEP, 2019(03):. doi:10.1007/JHEP03(2019)160.

引用: https://hdl.handle.net/21.11116/0000-0002-4AD1-F

要旨

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.