# An Overview of B-branes in Gauged Linear Sigma Models

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## Abstract

We review the BPS D-branes in gauged linear sigma models corresponding to toric Calabi–Yau (CY) varieties preserving \({\mathscr {N}}=2_B\) supersymmetry, and their relation to stable low energy branes. The chiral sectors of these low energy branes are described mathematically by various derived categories in various parts of the CY Kähler moduli space \({\mathscr {M}}_K\). For a fixed \({\mathscr {M}}_K\), all these descriptions should in fact be equivalent in a categorical sense and we review some aspects of this equivalence from a physical perspective. This is a short summary of the results of the comprehensive work by Herbst, Hori and Page [3] with some elementary commentary.

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