Supersymmetry and non-compact groups in supergravity

John Ellis; Mary K. Gaillard; Murat Günaydin; Bruno Zumino

doi:10.1016/0550-3213(83)90384-X

Supersymmetry and non-compact groups in supergravity

John Ellis, Mary K. Gaillard, Murat Günaydin, Bruno Zumino

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

27 Scopus citations

Abstract

We study the interplay of supersymmetry and certain non-compact invariance groups in extended supergravity theories (ESGTs). We use the N = 4 ESGT to demonstrate that these symmetries do not commute and exhibit the infinite-dimensional superinvariance algebra generated by them in the global limit. Using this result, we look for unitary representations of the full algebra. We discuss the implications of our results in the context of attempts to derive a relativistic effective gauge theory of elementary particles interpreted as bound states of the N = 8 ESGT.

Original language	English (US)
Pages (from-to)	427-450
Number of pages	24
Journal	Nuclear Physics, Section B
Volume	224
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(83)90384-X
State	Published - Sep 19 1983

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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title = "Supersymmetry and non-compact groups in supergravity",

abstract = "We study the interplay of supersymmetry and certain non-compact invariance groups in extended supergravity theories (ESGTs). We use the N = 4 ESGT to demonstrate that these symmetries do not commute and exhibit the infinite-dimensional superinvariance algebra generated by them in the global limit. Using this result, we look for unitary representations of the full algebra. We discuss the implications of our results in the context of attempts to derive a relativistic effective gauge theory of elementary particles interpreted as bound states of the N = 8 ESGT.",

author = "John Ellis and Gaillard, {Mary K.} and Murat G{\"u}naydin and Bruno Zumino",

note = "Funding Information: * Work supported in part by the Department of Energy, contracts DE-AC03-76SF00515 and DE-AC03-76SF00098, as well as the National Science Foundation, research grants PHY-82-03424 and PHY-81-18547.",

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AU - Gaillard, Mary K.

AU - Günaydin, Murat

AU - Zumino, Bruno

N1 - Funding Information: * Work supported in part by the Department of Energy, contracts DE-AC03-76SF00515 and DE-AC03-76SF00098, as well as the National Science Foundation, research grants PHY-82-03424 and PHY-81-18547.

PY - 1983/9/19

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N2 - We study the interplay of supersymmetry and certain non-compact invariance groups in extended supergravity theories (ESGTs). We use the N = 4 ESGT to demonstrate that these symmetries do not commute and exhibit the infinite-dimensional superinvariance algebra generated by them in the global limit. Using this result, we look for unitary representations of the full algebra. We discuss the implications of our results in the context of attempts to derive a relativistic effective gauge theory of elementary particles interpreted as bound states of the N = 8 ESGT.

AB - We study the interplay of supersymmetry and certain non-compact invariance groups in extended supergravity theories (ESGTs). We use the N = 4 ESGT to demonstrate that these symmetries do not commute and exhibit the infinite-dimensional superinvariance algebra generated by them in the global limit. Using this result, we look for unitary representations of the full algebra. We discuss the implications of our results in the context of attempts to derive a relativistic effective gauge theory of elementary particles interpreted as bound states of the N = 8 ESGT.

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