In this report we review the microscopic formulation of the five-dimensional black hole of
type IIB string theory in terms of the D1–D5 brane system. The emphasis here is more on the …

We review recent developments (up to January 2004) of the Liouville field theory and its
matrix model dual. This review consists of two parts. In part I, we review the bosonic Liouville …

A bstract It was recently argued that string theory on AdS 3× S 3× 𝕋 4 with one unit (k= 1) of
NS-NS flux is exactly dual to the symmetric orbifold CFT Sym N (𝕋 4). In this paper we show …

We find half supersymmetric AdS embeddings in AdS 5× S 5 corresponding to all quarter
BPS orthogonal intersections of D3-branes with Dp-branes. A particular case is the Karch …

A bstract Constructing a holographic string theory dual for a CFT in the perturbative, weakly
coupled regime is a holy grail for gauge/string dualities that would not only open the door for …

A bstract String theory on AdS 3× S 3× 𝕋 4 with minimal k= 1 NS-NS flux can be described in
terms of a free field worldsheet theory in the hybrid formalism. We construct various D …

The analytic Langlands correspondence describes the solution to the spectral problem for
the quantised Hitchin Hamiltonians. It is related to the S-duality of $\cal {N}= 4$ super Yang …

We compute the partition function of the conformal field theory on the two-dimensional
euclidean black hole background using path-integral techniques. We show that the resulting …

We investigate two classes of D-branes in 2-d string theory, corresponding to extended and
localized branes, respectively. We compute the string emission during tachyon …

There exists an intriguing relation between genus zero correlation functions in the H+ 3
WZNW model and in Liouville field theory. We provide a path integral derivation of the …