The Annular Report on Non-Critical String Theory
arXiv:hep-th/0305148
Abstract
Recent results on the annulus partition function in Liouville field theory are applied to non-critical string theory, both below and above the critical dimension. Liouville gravity coupled to matter has a dual formulation as a matrix model. Two well-known matrix model results are reproduced precisely using the worldsheet formulation: (1) the correlation function of two macroscopic loops, and (2) the leading non-perturbative effects. The latter identifies the eigenvalue instanton amplitudes of the matrix approach with disk instantons of the worldsheet approach, thus demonstrating that the matrix model is the effective dynamics of a D-brane realization of non-critical string theory. In the context of string theory above the critical dimension, i.e. , Liouville field theory realizes two-dimensional de Sitter gravity on the worldsheet. In this case, appropriate D-brane boundary conditions on the annulus realize the S-matrix for two-dimensional de Sitter gravity.
29 pages (latex), 4 (.eps) figures. v2: minor changes, references added
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- c=1 from c<1: Bulk and boundary correlators
- Modular Bootstrap of Boundary N=2 Liouville Theory
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