Seiberg-Witten理论中的全纯性和模块性
Holomorphicity and Modularity in Seiberg-Witten Theories with Matter
摘要:
利用模度、全纯反常方程和模空间边界上的期望行为,计算了N=2 SU(2)Seiberg-Witten理论对物质的有效作用量的引力修正.如同在纯规范理论中一样,我们证明了在双子奇点处的能隙条件完全固定了引力修正。讨论了共形点处引力改正的性质。我们比较我们的结果与循环方程的递归解的矩阵模型的方法,它提供了另外的开放振幅。
英文摘要:
We calculate the gravitational corrections to the effective action of N=2 SU(2) Seiberg-Witten theory with matter using modularity, the holomorphic anomaly equation and expected behavior at the boundaries of the moduli space. As in pure gauge theory we show that the gap condition at the dyon singularities completely fixes the gravitational corrections. We discuss the behavior of the gravitational corrections at the conformal points. We compare our results with the recursive solution of the loop equation in the matrix model approach, which provides in addition open amplitudes.
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