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D-Brane Central Charge and Landau–Ginzburg Orbifolds

Johanna Knapp School of Mathematics and Statistics, University of Melbourne, Parkville, 3010, VIC, Australia Mauricio Andrés Romo Jorquera Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Emanuel Scheidegger Beijing International Center for Mathematical Research (BICMR), Peking University, 100871, Beijing, China

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.74028

Communications in Mathematical Physics, 384, 609–697, 2021.3
We propose a formula for the exact central charge of a B-type D-brane that is expected to hold in all regions of the Kähler moduli space of a Calabi–Yau. For Landau–Ginzburg orbifolds we propose explicit expressions for the mathematical objects that enter into the central charge formula. We show that our results are consistent with results in FJRW theory and the hemisphere partition function of the gauged linear sigma model.
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@inproceedings{johanna2021d-brane,
  title={D-Brane Central Charge and Landau–Ginzburg Orbifolds},
  author={Johanna Knapp, Mauricio Andrés Romo Jorquera, and Emanuel Scheidegger},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220706141939822696542},
  booktitle={Communications in Mathematical Physics},
  volume={384},
  pages={609–697},
  year={2021},
}
Johanna Knapp, Mauricio Andrés Romo Jorquera, and Emanuel Scheidegger. D-Brane Central Charge and Landau–Ginzburg Orbifolds. 2021. Vol. 384. In Communications in Mathematical Physics. pp.609–697. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220706141939822696542.
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