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arXiv · hep-th/0306177

Non-Perturbative Effects in Matrix Models and D-branes

Sergei Yu. Alexandrov·Vladimir A. Kazakov·David Kutasov
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Abstract

The large order growth of string perturbation theory in $c\le 1$ conformal field theory coupled to world sheet gravity implies the presence of $O(e^{-{1\over g_s}})$ non-perturbative effects, whose leading behavior can be calculated in the matrix model approach. Recently it was proposed that the same effects should be reproduced by studying certain localized D-branes in Liouville Field Theory, which were constructed by A. and Al. Zamolodchikov. We discuss 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 of Eynard and Zinn-Justin, 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. The c=1 analysis also leads to predictions about properties of D-branes localized in the vicinity of the tip of the cigar in SL(2)/U(1) CFT with c=26.

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Sergei Yu. Alexandrov, Vladimir A. Kazakov, David Kutasov. 2003-08-18. Non-Perturbative Effects in Matrix Models and D-branes. https://doi.org/10.1088/1126-6708%2F2003%2F09%2F057

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