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