Supergravity description of field theories on curved manifolds and a no go theorem

Details Supergravity description of field theories on curved manifolds and a no go theorem Supergravity description of field theories on curved manifolds and a no go theorem

2000-07-03

arxiv.org/abs/hep-th/0007018v2

Int.J.Mod.Phys. A16 (2001) 822-855

Physics

High Energy Physics

High Energy Physics - Theory

latex, 37 pages. v2: References added

Scientific paper

In the first part of this paper we find supergravity solutions corresponding to branes on worldvolumes of the form $R^d \times \Sigma$ where $\Sigma$ is a Riemann surface. These theories arise when we wrap branes on holomorphic Riemann surfaces inside $K3$ or CY manifolds. In some cases the theory at low energies is a conformal field theory with two less dimensions. We find some non-singular supersymmetric compactifications of M-theory down to $AdS_5$. We also propose a criterion for permissible singularities in supergravity solutions. In the second part of this paper, which can be read independently of the first, we show that there are no non-singular Randall-Sundrum or de-Sitter compactifications for large class of gravity theories.

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