The heat-kernel expansion and ζ-regularization techniques for quantum field theory and
extended objects on curved space-times are reviewed. In particular, ultrastatic space-times …

A bstract We study the O (N) and Gross-Neveu models at large N on AdS d+ 1 background.
Thanks to the isometries of AdS, the observables in these theories are constrained by the …

A systematic approach to the study of semiclassical fluctuations of strings in AdS5× S5
based on the Green-Schwarz formalism is developed. We show that the string partition …

In these lectures we give an overview of the duality between gravitational theories of
massless higher spin fields in AdS and large N vector models. We first review the original …

Logarithmic corrections to the extremal black hole entropy can be computed purely in terms
of the low energy data—the spectrum of massless fields and their interaction. The demand of …

A bstract Vasiliev's type A higher spin theories in AdS 4 have been conjectured to be dual to
the U (N) or O (N) singlet sectors in 3-d conformal field theories with N-component scalar …

Chiral higher spin gravity is unique in being the smallest higher spin extension of gravity and
in having a simple local action both in flat and (anti-) de Sitter spaces. It must be a closed …

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 …