PIRSA:13100115

Video URL

https://pirsa.org/13100115

Exact results for boundaries and domain walls in 2d supersymmetric theories

Okuda, T. (2013). Exact results for boundaries and domain walls in 2d supersymmetric theories. Perimeter Institute for Theoretical Physics. https://pirsa.org/13100115

Okuda, Takuya. Exact results for boundaries and domain walls in 2d supersymmetric theories. Perimeter Institute for Theoretical Physics, Oct. 22, 2013, https://pirsa.org/13100115 

          @misc{ scivideos_PIRSA:13100115,
            doi = {10.48660/13100115},
            url = {https://pirsa.org/13100115},
            author = {Okuda, Takuya},
            keywords = {},
            language = {en},
            title = {Exact results for boundaries and domain walls in 2d supersymmetric theories},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2013},
            month = {oct},
            note = {PIRSA:13100115 see, \url{https://scivideos.org/pirsa/13100115}}
          }

Takuya Okuda University of Tokyo

Talk numberPIRSA:13100115
DOI10.48660/13100115
Source RepositoryPIRSA
Collection
Talk Type Conference

Abstract

We apply supersymmetric localization to N=(2,2) gauged linear sigma models on a hemisphere, with boundary conditions, i.e., D-branes, preserving B-type supersymmetries. We explain how to compute the hemisphere partition function for each object in the derived category of equivariant coherent sheaves, and argue that it depends only on its K theory class. The hemisphere partition function computes exactly the central charge of the D-brane, completing the well-known formula obtained by an anomaly inflow argument. We also formulate supersymmetric domain walls as D-branes in the product of two theories.  We exhibit domain walls that realize the sl(2) affine Hecke algebra.  Based on arXiv:1308.2217.