Kuznetsov Categories for Gauged Linear Sigma Models

2025/12/20 by David Favero, Daniel Kaplan, Favero, David +3
Mathematics · Physics and Astronomy · #14F08 #14J45 #14J70 #14L24 #14M10 #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · doi:10.48550/arxiv.2512.18402

openalex publication_date 2025/12/20 · openalex created_date 2025/12/24 · openalex updated_date 2026/07/28

Abstract

We define Kuznetsov and anti-Kuznetsov categories for gauged linear sigma models. We show that for complete intersections of ample divisors in smooth projective toric varieties, the Kuznetsov category is left orthogonal to an exceptional collection. We prove that any complete intersection of r ≥ 2 ample divisors in a Fano GIT quotient is a Fano visitor and the derived category of its Fano host is equivalent to an anti-Kuznetsov category of a gauged linear sigma model.

Citations

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Related

• Variation of geometric invariant theory quotients and derived categories
• Singularities of Landau-Ginzburg models for complete intersections and derived categories
• Gauged Linear Sigma Model in Geometric Phases. I
• Global matrix factorizations
• Sigma Models and Phase Transitions for Complete Intersections