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The study of general two-dimensional models of gravity allows to tackle basic questions of
quantum gravity, bypassing important technical complications which make the treatment in …

In this paper we study the spectrum of critical bosonic string theory on AdS3 M with NS–NS
backgrounds, where M is a compact space. Understanding string theory on AdS3 is …

Following the discovery of spacetime anomaly cancellation in 1984 [1], string theory has
undergone rapid development in several directions. The early hope of making direct contact …

We study the generalization of R→ 1/R duality to arbitrary conformally invariant σ-models
with an isometry. We show that any pair of dual σ-models can be represented as quotients of …

In string theory it is known that abelian isometries in the σ-model lead to target space duality.
We generalize this duality to background with non-abelian isometries. The procedure we …

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 …

It is shown that a large class of time-dependent solutions to Einstein's equation are classical
solutions to string theory. These include metrics with large curvature and some with …

We argue that the light particles in string theory obey an effective quantum mechanics
modified by the inclusion of a quantum-gravitational friction term, induced by unavoidable …

This review provides an introduction to non-geometric backgrounds in string theory. Starting
from a discussion of T-duality, geometric and non-geometric torus-fibrations are reviewed …