再论规范理论的Penner型包壳
Penner Type Ensemble for Gauge Theories Revisited
摘要:
考虑了作为AGT猜想的极限情形的具有两种无质量味的Ω变形N=2 SU(2)规范理论的Penner型β系综.配分函数可以在鞍点近似中微扰地计算。一个大的N极限再现的规范理论配分函数扩展在强耦合制度,任何β和超越树级,确认以前的结果通过特殊的几何和全纯异常方程。规范理论自由能在介子/双子点处的主导项和能隙作为一个推论。
英文摘要:
The Penner type beta-ensemble for Omega-deformed N=2 SU(2) gauge theory with two massless flavors arising as a limiting case from the AGT conjecture is considered. The partition function can be calculated perturbatively in a saddle-point approximation. A large N limit reproduces the gauge theory partition function expanded in a strong coupling regime, for any beta and beyond tree-level, confirming previous results obtained via special geometry and the holomorphic anomaly equation. The leading terms and gap of the gauge theory free energy at the monopole/dyon point follow as a corollary.
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