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

@article{Bytsenko2011AdSSI, 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}, year={2011}, volume={71}, pages={1-9} }

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…

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## References

SHOWING 1-10 OF 36 REFERENCES

Fluxes, brane charges and Chern morphisms of hyperbolic geometry

- Mathematics
- 2006

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

- Physics
- 2006

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…

Homology and K-theory methods for classes of branes wrapping nontrivial cycles

- Mathematics
- 2008

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

- Mathematics
- 1990

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

- Physics
- 2001

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…

AdS3 Solutions of IIB Supergravity

- Physics
- 2006

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?

- Mathematics
- 2006

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…