论文标题
量子自旋系统和超对称仪表理论，i
Quantum Spin Systems and Supersymmetric Gauge Theories, I
论文作者
论文摘要
The relation between supersymmetric gauge theories in four dimensions and quantum spin systems is exploited to find an explicit formula for the Jost function of the $N$ site $\mathfrak{sl}_{2}$ $XXX$ spin chain (for infinite dimensional complex spin representations), as well as the $SL_N$ Gaudin system, which reduces, in a limiting case, to that of the $ n $ - 粒子周期性TODA链。使用超对称仪表理论的非扰动dyson-schwinger方程，我们在旋转链通勤汉密尔顿人与扭曲的手性仪表理论之间建立了关系。在途中，我们探索了超对称分区函数的腔室依赖性，也是表面缺陷的期望值，为AGT猜想提供了新的证据。
The relation between supersymmetric gauge theories in four dimensions and quantum spin systems is exploited to find an explicit formula for the Jost function of the $N$ site $\mathfrak{sl}_{2}$ $XXX$ spin chain (for infinite dimensional complex spin representations), as well as the $SL_N$ Gaudin system, which reduces, in a limiting case, to that of the $N$-particle periodic Toda chain. Using the non-perturbative Dyson-Schwinger equations of the supersymmetric gauge theory we establish relations between the spin chain commuting Hamiltonians with the twisted chiral ring of gauge theory. Along the way we explore the chamber dependence of the supersymmetric partition function, also the expectation value of the surface defects, giving new evidence for the AGT conjecture.
