AdS solutions in gauge supergravities and the global anomaly for the product of complex two-cycles

  title={AdS solutions in gauge supergravities and the global anomaly for the product of complex two-cycles},
  author={Andrei A. Bytsenko and Emilio Elizalde},
  journal={The European Physical Journal C},
Cohomological methods are applied for the special set of solutions corresponding to rotating branes in arbitrary dimensions, AdS black holes (which can be embedded in ten or eleven dimensions), and gauge supergravities. A new class of solutions is proposed, the Hilbert modular varieties, which consist of the 2n-fold product of the two-spaces Hn/Γ (where Hn denotes the product of n upper half-planes, H2, equipped with the co-compact action of Γ⊂SL(2,ℝ)n) and (Hn)∗/Γ (where (H2)∗=H2∪{cusp of… 
The Casimir effect in topological field theory: case of elliptic genera
The coupling between the quantum generating functions of a field theory and corresponding formal power series, associated with dimensions of chains and homologies of suitable Lie algebras, is
Ads-CFT correspondence in dilaton coupled n dimensional black holes
We establish AdS-CFT correspondence for n-dimensional AdS dilaton coupled black hole. Following two different approaches to establish the correspondence we calculate the energy from supergravity


Fluxes, brane charges and Chern morphisms of hyperbolic geometry
The purpose of this paper is to provide the reader with a collection of results which can be found in the mathematical literature and to apply them to hyperbolic spaces that may have a role in
New supersymmetric AdS_3 solutions
We construct infinite new classes of supersymmetric solutions of D=11 supergravity that are warped products of AdS{sub 3} with an eight-dimensional manifold M{sub 8} and have nonvanishing four-form
Anti-de Sitter black holes in gauged N = 8 supergravity
Embedding AdS Black Holes in Ten and Eleven Dimensions
Homology and K-theory methods for classes of branes wrapping nontrivial cycles
We apply some methods of homology and K-theory to special classes of branes wrapping homologically nontrivial cycles. We treat the classification of four-geometries in terms of compact stabilizers
Hilbert Modular Forms
A discrete subgroup Γ ⊂ SL, (2ℝ) acts discontinuously on the upper half-plane H. The parabolic elements of Γ give rise to a natural extension of H/Γ by the so-called cusp classes. We are mainly
Cardy-Verlinde formula and AdS black holes
In a recent paper by E. Verlinde, hep-th/0008140, an interesting formula has been put forward, which relates the entropy of a conformal formal field in arbitrary dimensions to its total energy and
Multi-membrane solutions of D = 11 supergravity
AdS3 Solutions of IIB Supergravity
We consider pure D3‐brane configurations of IIB string theory which lead to supergravity solutions containing an AdS3 factor. They can provide new examples of AdS3/CFT2 examples on D3‐branes whose
Can D-branes wrap nonrepresentable cycles?
Sometimes a homology cycle of a nonsingular compactification manifold cannot be represented by a nonsingular submanifold. We want to know whether such nonrepresentable cycles can be wrapped by