The geometry of N = 2 Maxwell-Einstein supergravity and Jordan algebras

M. Günaydin; G. Sierra; P. K. Townsend

doi:10.1016/0550-3213(84)90142-1

The geometry of N = 2 Maxwell-Einstein supergravity and Jordan algebras

M. Günaydin
, G. Sierra
, P. K. Townsend

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

548 Scopus citations

Abstract

We construct the general coupling of n N = 2 Maxwell super-multiplets to N = 2 supergravity in five spacetime dimensions. In the case that the scalar field manifold is symmetric we find a complete classification based on Jordan algebras. Apart from the generic case there are also four "exceptional" cases associated with the Jordan algebras J₃^A of 3 × 3 hermitian matrices over the division algebras A = R, C, H, O. Similar results follow for four dimensions, by dimensional reduction.

Original language	English (US)
Pages (from-to)	244-268
Number of pages	25
Journal	Nuclear Physics, Section B
Volume	242
Issue number	1
DOIs	https://doi.org/10.1016/0550-3213(84)90142-1
State	Published - Aug 6 1984

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/0550-3213(84)90142-1

Cite this

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N2 - We construct the general coupling of n N = 2 Maxwell super-multiplets to N = 2 supergravity in five spacetime dimensions. In the case that the scalar field manifold is symmetric we find a complete classification based on Jordan algebras. Apart from the generic case there are also four "exceptional" cases associated with the Jordan algebras J3A of 3 × 3 hermitian matrices over the division algebras A = R, C, H, O. Similar results follow for four dimensions, by dimensional reduction.

AB - We construct the general coupling of n N = 2 Maxwell super-multiplets to N = 2 supergravity in five spacetime dimensions. In the case that the scalar field manifold is symmetric we find a complete classification based on Jordan algebras. Apart from the generic case there are also four "exceptional" cases associated with the Jordan algebras J3A of 3 × 3 hermitian matrices over the division algebras A = R, C, H, O. Similar results follow for four dimensions, by dimensional reduction.

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The geometry of N = 2 Maxwell-Einstein supergravity and Jordan algebras

Abstract

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