
Article: Extremal Sasakian horizons
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ABSTRACT: We point out a simple construction of an infinite class of Einstein nearhorizon geometries in all odd dimensions greater than five. Crosssections of the horizons are inhomogeneous Sasakian metrics (but not Einstein) on S^3xS^2 and more generally on Lens space bundles over any compact positive KaehlerEinstein manifold. They are all consistent with the known topology and symmetry constraints for asymptotically flat or globally AdS black holes.Physics Letters B 04/2012; 713(3). · 4.57 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: We study the interplay between a particular marginal deformation of ${\cal N}=4$ super YangMills theory, the $\beta$ deformation, and integrability in the holographic setting. Using modern methods of analytic nonintegrability of Hamiltonian systems, we find that, when the $\beta$ parameter takes imaginary values, classical string trajectories on the dual background become nonintegrable. We expect the same to be true for generic complex $\beta$ parameter. By exhibiting the Poincar\'e sections and phase space trajectories for the generic complex $\beta$ case, we provide numerical evidence of strong sensitivity to initial conditions. Our findings agree with expectations from weak coupling that the complex $\beta$ deformation is nonintegrable and provide a rigorous argument beyond the trial and error approach to nonintegrability.11/2013;  [Show abstract] [Hide abstract]
ABSTRACT: Using a generalised KillingYano equation in the presence of torsion, spacetime metrics admitting a rank2 generalised KillingYano tensor are investigated in five dimensions under the assumption that its eigenvector associated with the zero eigenvalue is a Killing vector field. It is shown that such metrics are classified into three types and the corresponding local expressions are given explicitly. It is also shown that they cover some classes of charged, rotating KaluzaKlein black hole solutions of minimal supergravity and abelian heterotic supergravity.Classical and Quantum Gravity 12/2012; 30(7). · 3.56 Impact Factor
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