PIRSA:13100115 Conference

DOI10.48660/13100115

Conference/School: Physics Around Mirror Symmetry

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}}
}

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.

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