Phases Of N=2 Theories In 1+1 Dimensions With Boundary

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 Kähler 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.

265 pages

References in corpus (2)

• Boundary RG Flows of N=2 Minimal Models
• Bulk perturbations of N=2 branes

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