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Defects and phase transitions to geometric phases of abelian GLSMs
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We consider gauged linear sigma models with gauge group U(1) that exhibit a geometric as well as a Landau Ginzburg phase. We construct defects that implement the transport of D-branes from the Landau-Ginzburg phase to the geometric phase. Through their fusion with boundary conditions these defects in particular provide functors between the respective D-brane categories. The latter map (equivariant) matrix factorizations to coherent sheaves and can be formulated explicitly in terms of complexes of matrix factorizations.
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Defects and Phases of Higher Rank Abelian GLSMs
A cutoff-truncation of the identity defect yields lift and transition defects for higher-rank abelian GLSMs, matching band restriction rules and minimal model flow defects.
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