Phases Of N=2 Theories In 1+1 Dimensions With Boundary
High Energy Physics - Theory
2008-03-17 v1
Abstract
We study B-type D-branes in linear sigma models with Abelian gauge groups. The most important finding is the grade restriction rule. It classifies representations of the gauge group on the Chan-Paton factor, which can be used to define a family of D-branes over a region of the K\"ahler moduli space that connects special points of different character. As an application, we find a precise, transparent relation between D-branes in various geometric phases as well as free orbifold and Landau-Ginzburg points. The result reproduces and unifies many of the earlier mathematical results on equivalences of D-brane categories, including the McKay correspondence and Orlov's construction.
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Cite
@article{arxiv.0803.2045,
title = {Phases Of N=2 Theories In 1+1 Dimensions With Boundary},
author = {Manfred Herbst and Kentaro Hori and David Page},
journal= {arXiv preprint arXiv:0803.2045},
year = {2008}
}
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265 pages