论文标题
超组理论的量子整合系统
Quantum Integrable Systems from Supergroup Gauge Theories
论文作者
论文摘要
在本说明中，我们建立了超级组理论与超级集成系统之间的几个有趣的连接，即用超级组作为其量规组和在超级级别上定义的集成系统的衡量理论。特别是，我们通过考虑其相应的超级组理论的某些孔隙式插曲函数来构建超高晶格和椭圆形的双钙晶状体系统的超级特征多项式。我们还得出了由SQCD与Supergauge组的intanton分区函数产生的SL（2）XXX自旋链的异国概括，并研究了其Bethe Ansatz方程。
In this note, we establish several interesting connections between the supergroup gauge theories and the super integrable systems, i.e. gauge theories with supergroups as their gauge groups and integrable systems defined on superalgebras. In particular, we construct the super-characteristic polynomials of super-Toda lattice and elliptic double Calogero-Moser system by considering certain orbifolded instanton partition functions of their corresponding supergroup gauge theories. We also derive an exotic generalization of sl(2) XXX spin chain arising from the instanton partition function of SQCD with supergauge group, and study its Bethe ansatz equation.
