Beijing Lectures on the Grade Restriction Rule

Citation:

Richard EAGER,Kentaro HORI,Johanna KNAPP,Mauricio ROMO.Beijing Lectures on the Grade Restriction Rule[J].Chinese Annals of Mathematics B,2017,38(4):901~912
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Authors:

Richard EAGER; Kentaro HORI;Johanna KNAPP;Mauricio ROMO
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 R{\o}dland. 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.

Keywords:

Gauged linear sigma model, Non-birational Calabi-Yau manifolds, D-branes, Equivalences of categories

Classification:

32Q25, 14F05, 14J32, 81T13, 81T30
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