2000/07/08 by Juan Maldacena, Carlos Núñez, Carlos Nunez · 14 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Brane cosmology #Conformal map #Cosmology and Gravitation Theories #Field (mathematics) #Field theory (psychology) #Gauged supergravity #Gravitational singularity #Holomorphic function #Mathematical analysis #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Riemann surface #Supergravity #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1142/s0217751x01003937
published as Int.J.Mod.Phys. A16 (2001) 822-855 · latex, 37 pages. v2: References added
arxiv created 2000/07/08 · openalex publication_date 2001/02/20 · arxiv updated 2016/12/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In the first part of this paper we find supergravity solutions corresponding to branes on worldvolumes of the form R d ×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.