PIRSA: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. https://pirsa.org/13100115

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

          @misc{ pirsa_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},
            year = {2013},
            month = {oct},
            note = {PIRSA:13100115 see, \url{https://pirsa.org}}
          }

Takuya Okuda University of Tokyo

DOI 10.48660/13100115
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.