| Speaker: | Yutaka Yoshida (Kavli IPMU) |
|---|---|
| Title: | Topologically twisted index on Riemann surface and Bethe ansatz of q-boson |
| Date (JST): | Thu, Apr 12, 2018, 15:30 - 17:00 |
| Place: | Seminar Room A |
| Abstract: | We study a topologically twisted index of Chern-Simons theory with an adjoint chiral multiplet on Riemann surface which is expected to be dual to the Coulomb branch limit of a lens index in four dimension. By supersymmetric localization, the path integrals of Chern-Simons theory with an adjoint chiral multiplet reduce to finite sum over roots of the saddle point equations of the twisted superpotential. But it is still hard to evaluate topologically twisted index. Because it is often impossible to solve the saddle point equation explicitly. we develop a method to evaluate the topologically twisted index without solving the saddle point equation explicitly by using properties of a quantum integrable system called q-boson. |
