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arXiv · 2202.09767

Geometry of gauged LG-model with compatible boundary conditions

Xue Zhang
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Abstract

This paper introduces the geometry of the open string Floer theory of gauged Landau-Ginzburg model via gauged Witten equations. Given a $G$-invariant Morse-Bott holomorphic function $W$ on a Hamiltonian space $(M,\omega,G),$ Lefschetz thimbles are constructed from proper Lagrangian submanifolds of critical set of $W.$ We study an energy functional on path space whose gradient flow equation corresponds to the gauged Witten equations with temporal gauge on a strip end, and whose critical points are Lagrangian intersections in the reduced critical space of $W.$

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Xue Zhang. 2022-02-20. Geometry of gauged LG-model with compatible boundary conditions. https://arxiv.org/abs/2202.09767

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