Physics Group Meeting
Gauged Linear Sigma Models, B-branes and Hemispheres
I'll start reviewing some aspects of my paper with K. Hori [1] about localization of Gauged Linear Sigma Models (GLSM) on a disc/hemisphere. The focus is on a special class of boundary conditions corresponding to B-branes. I'll then review the relevant concept of grade restriction rule [2] which is fundamental for transport of B-branes around the moduli space. I'll discuss open problems and recent developments as well as relations with mathematics, as time allows. For the more mathematically oriented person, a review of GLSM and transport of B-branes in the context of hemisphere partition function is given in chapter 2 of [3].
[1] K. Hori and M. Romo, "Exact Results In Two-Dimensional (2,2) Supersymmetric Gauge Theories With Boundary,'' arXiv:1308.2438 [hep-th].
[2] M. Herbst, K. Hori and D. Page, "Phases Of N=2 Theories In 1+1 Dimensions With Boundary,'' arXiv:0803.2045 [hep-th].
[3] J. Knapp, M. Romo and E. Scheidegger, "Hemisphere Partition Function and Analytic Continuation to the Conifold Point,'' arXiv:1602.01382 [hep-th].