Super Landau-Ginzburg mirrors and algebraic cycles
Richard S. Garavuso, Ludmil Katzarkov, Maximilian Kreuzer and, Alexander Noll
TL;DR
This paper explores super Landau-Ginzburg mirror symmetry for gauged linear sigma models that correspond to nonlinear sigma models with Kaehler supermanifold targets, focusing on their algebraic and geometric properties.
Contribution
It introduces a new perspective on super Landau-Ginzburg mirrors for models with Kaehler supermanifold targets, expanding mirror symmetry to supergeometry.
Findings
Identification of super Landau-Ginzburg mirror structures
Connection between gauged linear sigma models and supermanifold targets
Insights into algebraic cycles in supergeometry
Abstract
We investigate the super Landau-Ginzburg mirrors of gauged linear sigma models which, in an appropriate low energy limit, reduce to nonlinear sigma models with Kaehler supermanifold target spaces of nonnegative super-first Chern class.
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