开放弦论中A、B模型的解耦--蝌蚪世界中的拓扑冒险
Decoupling A and B model in open string theory -- Topological adventures in the world of tadpoles
摘要：
本文分析了开拓扑弦中的蝌蚪相消问题。我们证明了不可定向的世界片图的包含保证了A和B模型在所有属开超弦振幅的一致解耦。这一点在超共形场论的直接微观计算中得到了证明。对于B-模型，我们明确地计算一个循环振幅的解析Ray-Singer挠适当的向量丛，并获得的去耦对应于D-膜和orientifold费用的取消。然后，世界表上的局部蝌蚪消除保证了所有回路的解耦。得到了单圈开拓扑弦的全纯反常方程，并与Quillen公式的结果进行了比较。
英文摘要：
In this paper we analyze the problem of tadpole cancellation in open topological strings. We prove that the inclusion of unorientable worldsheet diagrams guarantees a consistent decoupling of A and B model for open superstring amplitudes at all genera. This is proven by direct microscopic computation in Super Conformal Field Theory. For the B-model we explicitly calculate one loop amplitudes in terms of analytic Ray-Singer torsions of appropriate vector bundles and obtain that the decoupling corresponds to the cancellation of D-brane and orientifold charges. Local tadpole cancellation on the worldsheet then guarantees the decoupling at all loops. The holomorphic anomaly equations for open topological strings at one loop are also obtained and compared with the results of the Quillen formula.
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