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arXiv · hep-th/0007018

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

Juan Maldacena·Carlos Nunez
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Abstract

In the first part of this paper we find supergravity solutions corresponding to branes on worldvolumes of the form $R^d \times Σ$ where $Σ$ 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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Juan Maldacena, Carlos Nunez. 2000-07-08. Supergravity description of field theories on curved manifolds and a no go theorem. https://doi.org/10.1142/s0217751x01003937

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