Global symmetries of Yang-Mills squared in various dimensions

Anastasiou, A., Borsten, L., Hughes, M. J. and Nagy, S. (2015) Global symmetries of Yang-Mills squared in various dimensions. Journal of High Energy Physics, 2016 (1). ISSN 1029-8479

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Tensoring two on-shell super Yang-Mills multiplets in dimensions D ≤ 10 yields an on-shell supergravity multiplet, possibly with additional matter multiplets. Associating a (direct sum of) division algebra(s) D with each dimension 3 ≤ D ≤ 10 we obtain formulae for the algebras g and h of the U-duality group G and its maximal compact subgroup H, respectively, in terms of the internal global symmetry algebras of each super Yang-Mills theory. We extend our analysis to include supergravities coupled to an arbitrary number of matter multiplets by allowing for non-supersymmetric multiplets in the tensor product.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 05 Oct 2017 19:31
Last Modified: 14 Dec 2022 15:34

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