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Beijing lectures on the grade restriction rule

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Abstract

The authors describe the relationships between categories of B-branes in different phases of the non-Abelian gauged linear sigma model. The relationship is described explicitly for the model proposed by Hori and Tong with non-Abelian gauge group that connects two non-birational Calabi-Yau varieties studied by Rødland. A grade restriction rule for this model is derived using the hemisphere partition function and it is used to map B-type D-branes between the two Calabi-Yau varieties.

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Acknowledgement

We would like to thank professor Ruan for hosting the workshop “non-Abelian GLSM” and encouraging us to submit these proceedings.

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Authors and Affiliations

  1. Kavli Institute for the Physics and Mathematics of the Universe, Todai Institutes for Advanced Study, University of Tokyo, Kashiwa, 277-8583, Japan

    Richard Eager, Kentaro Hori & Mauricio Romo

  2. Mathematical Institute, Heidelberg University, MATHEMATIKON, Im Neuenheim Feld 205, 69120, Heidelberg, Germany

    Richard Eager

  3. Institute for Theoretical Physics, TU Wien, Wiedner Hauptstrasse 8-10, 1040, Vienna, Austria

    Johanna Knapp

  4. School of Natural Sciences, Institute for Advanced Study, Princeton, NJ, 08540, USA

    Mauricio Romo

Authors
  1. Richard Eager
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  2. Kentaro Hori
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  3. Johanna Knapp
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  4. Mauricio Romo
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Correspondence to Richard Eager.

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Eager, R., Hori, K., Knapp, J. et al. Beijing lectures on the grade restriction rule. Chin. Ann. Math. Ser. B 38, 901–912 (2017). https://doi.org/10.1007/s11401-017-1103-8

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  • DOI: https://doi.org/10.1007/s11401-017-1103-8

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