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High Energy Physics - Theory

arXiv:hep-th/0007018 (hep-th)
[Submitted on 3 Jul 2000 (v1), last revised 8 Jul 2000 (this version, v2)]

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

Authors: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 $R^d \times \Sigma$ 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.
Comments: latex, 37 pages. v2: References added
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:hep-th/0007018
  (or arXiv:hep-th/0007018v2 for this version)
  https://doi.org/10.48550/arXiv.hep-th/0007018
Journal reference: Int.J.Mod.Phys. A16 (2001) 822-855
Related DOI: https://doi.org/10.1142/S0217751X01003937

Submission history

From: Juan Maldacena [view email]
[v1] Mon, 3 Jul 2000 19:38:24 UTC (41 KB)
[v2] Sat, 8 Jul 2000 18:31:09 UTC (42 KB)
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