论文标题
强耦合时振荡BGW和HCIZ积分的拓扑扩展
Topological Expansion of Oscillatory BGW and HCIZ Integrals at Strong Coupling
论文作者
论文摘要
我们证明，BGW和HCIZ积分允许复杂耦合和复杂外部磁场的大型N拓扑扩展，只要耦合足够强。膨胀系数是全态函数，它们分别是单调单调和双Hurwitz数字的属特异性生成函数。
We prove that the BGW and HCIZ integrals admit large N topological expansions for complex coupling and complex external fields, provided the coupling is sufficiently strong. The expansion coefficients are holomorphic functions which are genus-specific generating functions for the monotone single and double Hurwitz numbers, respectively.
