SIMIS Seminar on Field Theory and String Theory: B-brane transport in nonabelian GLSMs and its applications

Speaker: Jirui Guo (Tongji University)

Abstract: B-branes are the boundary conditions of gauged linear sigma models (GLSM) compatible with B-type topological twist. Their categorical structure provides a powerful tool in analysing the phases of the GLSMs. A transport of the brane from one phase to another realizes an explicit faithful functor between the two phases. The constraint on the smoothness of the brane transport, which are called grade restriction rule, has been found for abelian GLSMs. In this talk, I will talk about recent progress on how to find these grade restriction rules for nonabelian GLSMs by analysing the hemisphere partition function. We will see that the resulting window categories can help us realize some equivalences between the derived categories of certain algebraic varieties in a field theoretical way, and explore the IR behaviour of some elusive phases of nonabelian GLSMs.

Time: 16:00 ~ 17:00, Tue., Jun. 11, 2024

Location: Floor 6, Innovation Center Building 3, Weicheng Road 62, Yangpu District, Shanghai, China

Zoom Meeting No.: 423 317 8953
Password: SIMIS

Organizer: Sen Hu, Andrey Losev, Bong Lian, Wen-Jie Ma, Hao Zou