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arXiv · 1710.04306

Chiral Algebras, Localization and Surface Defects

Yiwen Pan·Wolfger Peelaers
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Abstract

Four-dimensional N = 2 superconformal quantum field theories contain a subsector carrying the structure of a chiral algebra. Using localization techniques, we show for the free hypermultiplet that this structure can be accessed directly from the path integral on the four-sphere. We extend the localization computation to include supersymmetric surface defects described by a generic 4d/2d coupled system. The presence of a defect corresponds to considering a module of the chiral algebra: our results provide a calculational window into its structure constants.

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Yiwen Pan, Wolfger Peelaers. 2017-10-11. Chiral Algebras, Localization and Surface Defects. https://doi.org/10.1007/jhep02(2018)138

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