Killing(-Yano) Tensors in String Theory

We construct the Killing(-Yano) tensors for a large class of charged black holes in higher dimensions and study general properties of such tensors, in particular, their behavior under string dualities. Killing(-Yano) tensors encode the symmetries beyond isometries, which lead to insights into dynamics of particles and fields on a given geometry by providing a set of conserved quantities. By analyzing the eigenvalues of the Killing tensor, we provide a prescription for constructing several conserved quantities starting from a single object, and we demonstrate that Killing tensors in higher dimensions are always associated with ellipsoidal coordinates. We also determine the transformations of the Killing(-Yano) tensors under string dualities, and find the unique modification of the Killing-Yano equation consistent with these symmetries. These results are used to construct the explicit form of the Killing(-Yano) tensors for the Myers-Perry black hole in arbitrary number of dimensions and for its charged version.Comment: 87 pages. V2: typos are corrected, appendix C and references are added. V3: several typos are fixe

Analytical Structure of the Generalized λ−\lambda-deformation

We explore the analytical structure of the generalized $\lambda$-deformation of AdS_p x S^p spaces and construct new integrable backgrounds which depend on (p+1) continuous parameters.Comment: v2: 27 pages, minor addition

Supergravity background of the lambda-deformed AdS_3 x S^3 supercoset

We construct the solution of type IIB supergravity describing the integrable lambda-deformation of the AdS_3 x S^3 supercoset. While the geometry corresponding to the deformation of the bosonic coset has been found in the past, our background is more natural for studying superstrings, and several interesting features distinguish our solution from its bosonic counterpart. We also report progress towards constructing the lambda-deformation of the AdS_5 x S^5 supercoset.Comment: 31 pages, v2: references adde

A toy black hole S-matrix in the D1-D5 CFT

To model the process of absorption and emission of quanta by an extremal D1-D5 black hole in the dual CFT, we consider transitions between different Ramond vacua via absorption and emission of chiral primaries. We compute the probabilities to reach different CFT states starting with a special Ramond vacuum, using techniques of the orbifold CFT. It is found that the processes involving the change of angular momentum by $k$ units are suppressed as 1/N^kComment: 41 page

Maxwell's Equations in the Myers-Perry Geometry

We demonstrate separability of the Maxwell's equations in the Myers-Perry-(A)dS geometry and derive explicit solutions for various polarizations. Application of our construction to the four-dimensional Kerr black hole leads to a new ansatz for the Maxwell field which has significant advantages over the previously known parameterization.Comment: 94 pages. V2: Appendix F added, typos fixe