Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-03-27
Phys.Lett. B482 (2000) 400-408
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, Latex2e. Corrected and shortened version to appear in Phys. Lett. B
Scientific paper
10.1016/S0370-2693(00)00516-5
We present warped metrics which solve Einstein equations with arbitrary cosmological constants in both in upper and lower dimensions. When the lower-dimensional metric is the maximally symmetric one compatible with the chosen value of the cosmological constant, the upper-dimensional metric is also the maximally symmetric one and there is maximal unbroken supersymmetry as well. We then introduce brane sources and find solutions with analogous properties, except for supersymmetry, which is generically broken in the orbifolding procedure (one half is preserved in two special cases), and analyze metric perturbations in these backgrounds In analogy with the D8-brane we propose an effective $(\hat{d}-2)$-brane action which acts as a source for the RS solution. The action consists of a Nambu-Goto piece and a Wess-Zumino term containing a $(\hat{d}-1)$-form field. It has the standard form of the action for a BPS extended object, in correspondence with the supersymmetry preserved by the solution.
Alonso-Alberca Natxo
Meessen Patrick
Ortin Tomas
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