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Brane transport in anomalous (2,2) models and localization

Joel Clingempeel Department of Mathematics, Rutgers University, Hill Center - Busch Campus, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA Bruno Le Floch Princeton Center for Theoretical Science, Princeton University, Princeton, NJ 08544, USA; Philippe Meyer Institute, Physics Department, École Normale Supérieure, PSL Research University, 24 rue Lhomond, F-75231 Paris Cedex 05, France Mauricio Andrés Romo Jorquera School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540, USA; Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.74026

arXiv, 2018.11
We study B-branes in two-dimensional N=(2,2) anomalous models, and their behaviour as we vary bulk parameters in the quantum Kähler moduli space. We focus on the case of (2,2) theories defined by abelian gauged linear sigma models (GLSM). We use the hemisphere partition function as a guide to find how B-branes split in the IR into components supported on Higgs, mixed and Coulomb branches: this generalizes the band restriction rule of Herbst-Hori-Page to anomalous models. As a central example, we work out in detail the case of GLSMs for Hirzebruch-Jung resolutions of cyclic surface singularities. In these non-compact models we explain how to compute and regularize the hemisphere partition function for a brane with compact support, and check that its Higgs branch component explicitly matches with the geometric central charge of an object in the derived category.
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@inproceedings{joel2018brane,
  title={Brane transport in anomalous (2,2) models and localization},
  author={Joel Clingempeel, Bruno Le Floch, and Mauricio Andrés Romo Jorquera},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220706135835037396539},
  booktitle={arXiv},
  year={2018},
}
Joel Clingempeel, Bruno Le Floch, and Mauricio Andrés Romo Jorquera. Brane transport in anomalous (2,2) models and localization. 2018. In arXiv. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220706135835037396539.
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