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 …

We show that the meromorphic Jacobi form that counts the quarter-BPS states in N= 4 string
theories can be canonically decomposed as a sum of a mock Jacobi form and an Appell …

We find non-critical string backgrounds in five and eight dimensions, holographically related
to four-dimensional conformal field theories with Script N= 0 and Script N= 1 …

A bstract We discuss the worldsheet sigma-model whose target space is the d+ 1
dimensional Euclidean Schwarzschild black hole. We argue that in the limit where the …

We analyze various perspectives on the elliptic genus of non-compact supersymmetric coset
conformal field theories with central charge larger than three. We calculate the holomorphic …

We attack the long-standing problem of finding the AdS dual of N= 2 superconformal QCD,
the N= 2 super Yang Mills theory with gauge group SU (N_c) and N_f= 2 N_c fundamental …

We consider effective actions for six-dimensional noncritical superstrings. We show that the
addition of N units of RR flux and of Nf space–time filling D5-branes produces AdS 5× S1 …

A bstract We study charged black hole and wormhole solutions of Type 0A/IIA string theory
in two dimensions, by analysing their low energy equations of motion at leading order in α …

We first discuss the relationship between the SL (2; Bbb R)/U (1) supercoset and Script N= 2
Liouville theory and make a precise correspondence between their representations. We …

A bstract We consider a class of gauged linear sigma models (GLSMs) in two dimensions
that flow to non-compact (2, 2) superconformal field theories in the infra-red, a prototype of …