The Annular Report on Non-Critical String Theory

dc.creatorMartinec, Emil J.
dc.date2003-05-18
dc.date2003-06-04
dc.date.accessioned2026-07-07T04:15:14Z
dc.date.available2026-07-07T04:15:14Z
dc.descriptionRecent 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 $c\le 1$ 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 $d\le 1$ non-critical string theory. In the context of string theory above the critical dimension, i.e. $d\ge 25$, 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.
dc.description29 pages (latex), 4 (.eps) figures. v2: minor changes, references added
dc.identifierhttps://arxiv.org/abs/hep-th/0305148
dc.identifierhttp://arxiv.org/abs/hep-th/0305148
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51926
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThe Annular Report on Non-Critical String Theory
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