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Article overview
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Non-Perturbative Effects in Matrix Models and D-branes | Sergei Yu. Alexandrov
; Vladimir A. Kazakov
; David Kutasov
; | Date: |
18 Jun 2003 | Journal: | JHEP 0309 (2003) 057 | Subject: | hep-th | Abstract: | The large order growth of string perturbation theory in $cle 1$ conformal field theory coupled to world sheet gravity implies the presence of $O(e^{-{1over g_s}})$ 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. | Source: | arXiv, hep-th/0306177 | Services: | Forum | Review | PDF | Favorites |
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