Komaba Seminar

Speaker: Mauricio Romo (Kavli IPMU)
Title: Exact Results In Two-Dimensional (2,2) Supersymmetric Gauge Theories With Boundary
Date (JST): Mon, Nov 18, 2013, 17:00 - 18:30
Place: Room 002, Mathematical Sciences Building, Komaba Campus
Abstract: I will talk about the recent computation, done in joint work with Prof. K. Hori, of the partition function on the hemisphere of a class of two-dimensional (2,2) supersymmetric field theories including gauged linear sigma models (GLSM). The result provides a general exact formula for the central charge of the D-branes placed at the boundary. From the mathematical point of view, for the case of GLSMs that admit a geometrical interpretation, this formula provides an expression for the central charge of objects in the derived category at any point of the stringy Kahler moduli space. I will describe how this formula arises from physics and give simple, yet important, examples that supports its validity. If time allows, I will also explain some of its consequences such as how it can be used to obtain the grade restriction rule for branes near phase boundaries.