Global symmetries of Yang-Mills squared in various dimensions

A. Anastasiou; L. Borsten; M. J. Hughes; S. Nagy

doi:10.1007/JHEP01(2016)148

Global symmetries of Yang-Mills squared in various dimensions

A. Anastasiou, L. Borsten, M. J. Hughes, S. Nagy

Research output: Contribution to journal › Article › peer-review

31 Citations (Scopus)

Abstract

Abstract: 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$$ \mathbb{D} $$ with each dimension 3 ≤ D ≤ 10 we obtain a formula for the supergravity U-duality G and its maximal compact subgroup H 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.

Original language	English
Article number	148
Pages (from-to)	1-31
Number of pages	31
Journal	Journal of High Energy Physics (JHEP)
Volume	2016
Issue number	1
DOIs	https://doi.org/10.1007/JHEP01(2016)148
Publication status	Published - 1 Jan 2016

Keywords

Extended Supersymmetry
Global Symmetries
Supergravity Models
Supersymmetry and Duality

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10.1007/JHEP01(2016)148

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abstract = "Abstract: 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$$ \mathbb{D} $$ with each dimension 3 ≤ D ≤ 10 we obtain a formula for the supergravity U-duality G and its maximal compact subgroup H 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.",

keywords = "Extended Supersymmetry, Global Symmetries, Supergravity Models, Supersymmetry and Duality",

author = "A. Anastasiou and L. Borsten and Hughes, {M. J.} and S. Nagy",

note = "Funding Information: We would like to thank MJ Duff and A Marrani for very many useful and instructive conversations on the symmetries of supergravity. The work of LB was supported by a Schodinger Fellowship and an Imperial College Junior Research Fellowship. AA, MJH, and SN received support from STFC and EPSRC. Publisher Copyright: {\textcopyright} 2016, The Author(s).",

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AU - Anastasiou, A.

AU - Borsten, L.

AU - Hughes, M. J.

AU - Nagy, S.

N1 - Funding Information: We would like to thank MJ Duff and A Marrani for very many useful and instructive conversations on the symmetries of supergravity. The work of LB was supported by a Schodinger Fellowship and an Imperial College Junior Research Fellowship. AA, MJH, and SN received support from STFC and EPSRC. Publisher Copyright: © 2016, The Author(s).

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N2 - Abstract: 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$$ \mathbb{D} $$ with each dimension 3 ≤ D ≤ 10 we obtain a formula for the supergravity U-duality G and its maximal compact subgroup H 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.

AB - Abstract: 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$$ \mathbb{D} $$ with each dimension 3 ≤ D ≤ 10 we obtain a formula for the supergravity U-duality G and its maximal compact subgroup H 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.

KW - Extended Supersymmetry

KW - Global Symmetries

KW - Supergravity Models

KW - Supersymmetry and Duality

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Global symmetries of Yang-Mills squared in various dimensions

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Keywords

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