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Beijing Lectures on the Grade Restriction Rule |
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| Authors: | Richard EAGER Kentaro HORI Johanna KNAPP Mauricio ROMO |
| Affiliation: | 1. Kavli Institute for the Physics and Mathematics of the Universe,Todai Institutes for Advanced Study,University of Tokyo,Kashiwa 277-8583,Japan;Mathematical Institute,Heidelberg University,MATHEMATIKON,Im Neuenheim Feld 205,69120 Heidelberg,Germany;2. Kavli Institute for the Physics and Mathematics of the Universe,Todai Institutes for Advanced Study,University of Tokyo,Kashiwa 277-8583,Japan;3. Institute for Theoretical Physics,TU Wien,Wiedner Hauptstrasse 8-10,1040 Vienna,Austria;4. Kavli Institute for the Physics and Mathematics of the Universe,Todai Institutes for Advanced Study,University of Tokyo,Kashiwa 277-8583,Japan;School of Natural Sciences,Institute for Advanced Study,Princeton,NJ 08540,USA |
| Abstract: | The authors describe the relationships between categories ofB-branes in different phases of the non-Abelian gauged linear sigmamodel. The relationship is described explicitly for the modelproposed by Hori and Tong with non-Abelian gauge group that connectstwo non-birational Calabi-Yau varieties studied by R{o}dland. Agrade restriction rule for this model is derived using thehemisphere partition function and it is used to map B-type D-branesbetween the two Calabi-Yau varieties. |
| Keywords: | Gauged linear sigma model Non-birational Calabi-Yau manifolds D-branes Equivalences of categories |
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