Consistency of Kaluza-Klein sphere reductions of symmetric potentials
Abstract
In a recent paper, the complete (nonlinear) Kaluza-Klein Ansatz for the consistent embedding of certain scalar plus gravity subsectors of gauged maximal supergravity in D=4, 5, and 7 was presented in terms of sphere reductions from D=11 or type-IIB supergravity. The scalar fields included in the truncations were the diagonal fields in the SL(N,R)/SO(N) scalar submanifolds of the full scalar sectors of the corresponding maximal supergravities, with N=8, 6, and 5. The embeddings were used for obtaining an interpretation of extremal D=4, 5, or 7 AdS domain walls in terms of distributed M-branes or D-branes in the higher dimensions. Although strong supporting evidence for the correctness of the embedding Ansätze was presented, a full proof of the consistency was not given. Here we complete the proof by showing explicitly that the full set of higher-dimensional equations of motion is satisfied if and only if the lower-dimensional fields satisfy the relevant scalar plus gravity equations.
- Publication:
-
Physical Review D
- Pub Date:
- August 2000
- DOI:
- 10.1103/PhysRevD.62.046005
- arXiv:
- arXiv:hep-th/0002056
- Bibcode:
- 2000PhRvD..62d6005C
- Keywords:
-
- 11.25.Mj;
- 04.50.+h;
- 04.65.+e;
- Compactification and four-dimensional models;
- Gravity in more than four dimensions Kaluza-Klein theory unified field theories;
- alternative theories of gravity;
- Supergravity;
- High Energy Physics - Theory
- E-Print:
- Latex, 14 pages, minor corrections