Document Zbl 1537.81169

\(SL(5)\) supersymmetry. (English) Zbl 1537.81169

Fortschr. Phys. 69, No. 11-12, Article ID 2100116, 5 p. (2021).

Summary: We consider supersymmetry in five dimensions, where the fermionic parameters are a 2-form under \(SL(5)\). Supermultiplets are investigated using the pure spinor superfield formalism, and are found to be closely related to infinite-dimensional extensions of the supersymmetry algebra: the Borcherds superalgebra \(\mathscr{B}(E_4)\), the tensor hierarchy algebra \(S(E_4)\) and the exceptional superalgebra \(E(5, 10)\). A theorem relating \(\mathscr{B}(E_4)\) and \(E(5, 10)\) to all levels is given.
© 2021 The Authors. Fortschritte der Physik published by Wiley-VCH GmbH

Cited in 2 Documents

MSC:

81T30	String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81R10	Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations
17B81	Applications of Lie (super)algebras to physics, etc.

Keywords:

supersymmetry; superalgebra

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