Spectrum generating algebras in Kaluza-Klein theories

M. Günaydin; L. J. Romans; N. P. Warner

doi:10.1016/0370-2693(84)90148-5

Spectrum generating algebras in Kaluza-Klein theories

M. Günaydin, L. J. Romans, N. P. Warner

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8 Scopus citations

Abstract

We describe the action of the euclidean conformal group on spheres. Using the example of S⁷ compactification of the eleven-dimensional supergravity we show how the full spectrum provides unitary representations of SO(8,1). Our methods can be applied to compactification on spheres, products of spheres or any other manifold on which there is an action of a conformal group. We also make some conjectures concerning the relationship between the conformal group and supersymmetry.

Original language	English (US)
Pages (from-to)	401-405
Number of pages	5
Journal	Physics Letters B
Volume	146
Issue number	6
DOIs	https://doi.org/10.1016/0370-2693(84)90148-5
State	Published - Oct 25 1984

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/0370-2693(84)90148-5

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title = "Spectrum generating algebras in Kaluza-Klein theories",

abstract = "We describe the action of the euclidean conformal group on spheres. Using the example of S7 compactification of the eleven-dimensional supergravity we show how the full spectrum provides unitary representations of SO(8,1). Our methods can be applied to compactification on spheres, products of spheres or any other manifold on which there is an action of a conformal group. We also make some conjectures concerning the relationship between the conformal group and supersymmetry.",

author = "M. G{\"u}naydin and Romans, {L. J.} and Warner, {N. P.}",

note = "Funding Information: Work supported in part by the US Department of Energy under Contract No. DEAC-03-81-ER40050 and by the Fleischmann Foundation. 1 Weingart Fellow.",

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AU - Günaydin, M.

AU - Romans, L. J.

AU - Warner, N. P.

N1 - Funding Information: Work supported in part by the US Department of Energy under Contract No. DEAC-03-81-ER40050 and by the Fleischmann Foundation. 1 Weingart Fellow.

PY - 1984/10/25

Y1 - 1984/10/25

N2 - We describe the action of the euclidean conformal group on spheres. Using the example of S7 compactification of the eleven-dimensional supergravity we show how the full spectrum provides unitary representations of SO(8,1). Our methods can be applied to compactification on spheres, products of spheres or any other manifold on which there is an action of a conformal group. We also make some conjectures concerning the relationship between the conformal group and supersymmetry.

AB - We describe the action of the euclidean conformal group on spheres. Using the example of S7 compactification of the eleven-dimensional supergravity we show how the full spectrum provides unitary representations of SO(8,1). Our methods can be applied to compactification on spheres, products of spheres or any other manifold on which there is an action of a conformal group. We also make some conjectures concerning the relationship between the conformal group and supersymmetry.

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JO - Physics Letters B

JF - Physics Letters B

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ER -

Spectrum generating algebras in Kaluza-Klein theories

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