Defects and phase transitions to geometric phases of abelian GLSMs

Ilka Brunner; Lukas Krumpeck; Daniel Roggenkamp

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arXiv · 2109.04124

Defects and phase transitions to geometric phases of abelian GLSMs

Ilka Brunner·Lukas Krumpeck·Daniel Roggenkamp

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Abstract

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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Ilka Brunner, Lukas Krumpeck, Daniel Roggenkamp. 2021-09-09. Defects and phase transitions to geometric phases of abelian GLSMs. https://arxiv.org/abs/2109.04124

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