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Notes on the Hemisphere

Kentaro Hori Kavli Institute for the Physics and Mathematics of the Universe, University of Tokyo, Kashiwa, Chiba 277-8583, Japan Mauricio Andrés Romo Jorquera Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540, USA

TBD mathscidoc:2207.43002

Advanced Studies in Pure Mathematics, 83, 127-220, 2019.12
In these notes, we provide an introduction to the hemisphere partition function of 2d (2, 2) supersymmetric gauge theories, and discuss its relation to the “D-brane central charge” which were studied in superstring theory, in 2d supersymmetric quantum field theory, and in topological string theory. We also discuss relation to “macroscopic loop” in matrix models. They are mostly reviews of the work by the authors, but contains some new results such as the partition function for a rotated supersymmetry as well as the differential equations.
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@inproceedings{kentaro2019notes,
  title={Notes on the Hemisphere},
  author={Kentaro Hori, and Mauricio Andrés Romo Jorquera},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220706141540223785541},
  booktitle={Advanced Studies in Pure Mathematics},
  volume={83},
  pages={127-220},
  year={2019},
}
Kentaro Hori, and Mauricio Andrés Romo Jorquera. Notes on the Hemisphere. 2019. Vol. 83. In Advanced Studies in Pure Mathematics. pp.127-220. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220706141540223785541.
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