Nonperturbative effects in matrix models and D-branes
Nonperturbative effects in matrix models and D-branes
复制标题
矩阵模型和 D 膜中的非微扰效应
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
D. Kutasov
中科院分区：
文献类型：
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作者：
S. Alexandrov;V. Kazakov;D. Kutasov
弦微扰理论在c ≤ 1共形场论中与世界片引力耦合的高阶增长意味着O（e-1/gs）非微扰效应的存在，其主导行为可以用矩阵模型方法计算。最近有人提出，通过研究刘维场论中的某些定域D-膜，同样的效果应该被重现。和阿尔·扎莫洛奇科夫我们讨论这种对应关系在一些不同的情况下：单一的最小模型耦合到刘维，在那里我们比较连续分析的矩阵模型结果的Eynard和Zinn-Justin，和紧凑的c = 1 CFT耦合到刘维的存在下，冷凝物的绕组模式，在那里我们得到的矩阵模型预测，并将其与刘维理论。在这两种情况下，我们发现这两种方法之间的协议。c = 1的分析也导致了关于SL（2）/U（1）CFT中c = 26的雪茄尖端附近的D-膜的性质的预测。
The large order growth of string perturbation theory in c ≤ 1 conformal field theory coupled to world sheet gravity implies the presence of O(e-1/gs) 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.