The Annular Report on Non-Critical String Theory
The Annular Report on Non-Critical String Theory
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非临界弦理论年度报告
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
E. Martinec
中科院分区：
文献类型：
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作者：
E. Martinec
最近关于Liouville场论中环配分函数的结果被应用于非临界弦理论，无论是在临界维度之下还是在临界维度之上。与物质相耦合的刘维尔引力具有作为矩阵模型的双重公式。用WorldSheet公式精确地再现了两个著名的矩阵模型结果：(1)两个宏观环路的关联函数；(2)领先的非微扰效应。后者将矩阵方法的本征值瞬子振幅与世界表方法的圆盘瞬子联系起来，从而证明了矩阵模型是非临界弦理论的D膜实现的有效动力学。在弦理论的临界维度之上，即$DGE 25$的背景下，Liouville场论实现了世界表上的二维德西特引力。在这种情况下，在环面上适当的D膜边界条件实现了二维De Sitter引力的S矩阵。
Recent 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 $cle 1$ 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 $dle 1$ non-critical string theory. In the context of string theory above the critical dimension, i.e. $dge 25$, 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.