Bethe/Gauge Duality for 3d Gauge Theory
Time: 2023-04-19
Published By: Wenqiong Li
Speaker(s): Xiangmao Ding (University of Chinese Academy of Sciences)
Time: 14:00-15:00 May 9, 2023
Venue: Room 29, Quan Zhai, BICMR
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.
