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 | |
| State | Published - Oct 25 1984 |
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All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
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Spectrum generating algebras in Kaluza-Klein theories. / Günaydin, M.; Romans, L. J.; Warner, N. P.
In: Physics Letters B, Vol. 146, No. 6, 25.10.1984, p. 401-405.Research output: Contribution to journal › Article
TY - JOUR
T1 - Spectrum generating algebras in Kaluza-Klein theories
AU - Günaydin, M.
AU - Romans, L. J.
AU - Warner, N. P.
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.
UR - http://www.scopus.com/inward/record.url?scp=0001000052&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0001000052&partnerID=8YFLogxK
U2 - 10.1016/0370-2693(84)90148-5
DO - 10.1016/0370-2693(84)90148-5
M3 - Article
AN - SCOPUS:0001000052
VL - 146
SP - 401
EP - 405
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 6
ER -