Phase transitions in GLSMs and defects

TL;DR

This paper constructs defects in 2D GLSMs that connect different phases and embed these phases into the GLSMs, enabling the transport and embedding of D-branes across phases via functors.

Contribution

It introduces a novel construction of defects in GLSMs that facilitate phase transitions and category embeddings, advancing the understanding of D-brane dynamics.

Findings

Defects induce functors between D-brane categories.

Transport of D-branes between phases is achieved.

D-brane categories of phases are embedded into GLSMs.

Abstract

In this paper, we construct defects (domain walls) that connect different phases of two-dimensional gauged linear sigma models (GLSMs), as well as defects that embed those phases into the GLSMs. Via their action on boundary conditions these defects give rise to functors between the D-brane categories, which respectively describe the transport of D-branes between different phases, and embed the D-brane categories of the phases into the category of D-branes of the GLSMs.