Defect in gauge theory and quantum spin chains

Abstract: The N=2 supersymmetric gauge theories in four dimensions have intrinsic connection to algebraic integrable systems. The gauge theory of interests, the asymptotically superconformal N=2 SQCD in four dimensions, reveals a structure which has dual descriptions. On the one hand it is the complex generalization of the Heisenberg XXX spin chain, based on the Lie algebra sl_2. On the other hand is the Gaudin model (a special type of Hitchin system), based on the Lie algebra sl_N. In this talk I will focus on the spin chain side. I will show that by introducing BPS surface defects, we find observables in the gauge theory that satisfy difference equations called fractional quantum T-Q equation. The observables represents states of the XXX Heisenberg spin chain of N Heisenberg-Weyl modules over Y(sl_2). We also exploited to find the the explicit formula for the Jost function of the XXX Heisenberg spin chain from gauge theory.

HEP - theorymathematical physicsalgebraic geometrycombinatoricsexactly solvable and integrable systems

Audience: researchers in the discipline

IBS-CGP Mathematical Physics Seminar

Series comments: Registration is required at cgp.ibs.re.kr/activities/talkregistration