The eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces of arbitrary
dimension are computed by separating variables in geodesic polar coordinates. These …

The horizon of a static black hole in anti-de Sitter space can be spherical, planar, or
hyperbolic. The microscopic dynamics of the first two classes of black holes have been …

The spectral function (also known as the Plancherel measure), which gives the spectral
distribution of the eigenvalues of the Laplace–Beltrami operator, is calculated for a field of …

A bstract We study the logarithmic corrections to various CFT partition functions in the
context of the AdS 4/CFT 3 correspondence for theories arising on the worldvolume of M2 …

A bstract The static Love numbers of four-dimensional asymptotically flat, isolated, general-
relativistic black holes are known to be identically vanishing. The Love symmetry proposal …

We derive the heat kernel for arbitrary tensor fields on S 3 and (Euclidean) AdS 3 using a
group theoretic approach. We use these results to also obtain the heat kernel on certain …

Within 11-dimensional supergravity we compute the logarithmic correction to the entropy of
magnetically charged asymptotically AdS 4 black holes with arbitrary horizon topology. We …

A bstract The topologically twisted index for ABJM theory with gauge group U (N) k× U (N)− k
has recently been shown, in the large-N limit, to reproduce the BekensteinHawking entropy …

The partition function on the three-sphere of ABJM theory and its generalizations has, at
large N, a universal, subleading logarithmic term. Inspired by the success of one-loop …

A bstract We calculate the logarithmic correction to the entropy of asymptotically flat and AdS
black holes (rotating, non-rotating, charged, and uncharged) embedded in Einstein-Maxwell …