Bethe/Gauge Duality for 3d Gauge Theory
发布时间:2023年04月19日
浏览次数:2535
发布者: Wenqiong Li
主讲人: 丁祥茂(中国科学院数学与系统科学研究院)
活动时间: 从 2023-05-09 14:00 到 15:00
场地: 北京国际数学研究中心,全斋全29教室
We give a new effective superpotential for 3d N = 2 gauge theories with matter, it ensures a clear Bethe/Gauge correspondence between 3d (A)BCDEFG gauge theories and (closed) open XXZ spin chains with diagonal boundary conditions, respectively, and it also works in the case of 3d BC_N-type gauge theories which is not previously discussed in the literature. For an A_2 quiver gauge theory, which is the simplest non-trivial quiver gauge theory, and sl3 open XXZ spin chain with diagonal boundary condition. We demonstrate the correspondence between the vacuum equations of different gauge groups and Bethe Ansatz equations with different boundary parameters. The 2d gauge theory correspondence with XXX spin chain is obviously as a degeneration.