Non-perturbative effects in matrix models and D-branes

by Alexandrov, Serguei

Abstract


We study non-perturbative effects in non-critical string theory using its CFT and matrix model formulations. These effects are related with localized D-branes in Liouville Theory. We analyze this correspondence in a number of different cases: unitary minimal models coupled to Liouville, where we compare the continuum analysis to the matrix model results, and compact c=1 CFT coupled to Liouville in the presence of a condensate of winding modes, where we derive the matrix model prediction and compare it to Liouville theory. In both cases we find agreement between the two approaches.

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