Gauged Linear Sigma Model in Geometric Phases. I

2018/09/03 by Tian, Gang, Xu, Guangbo
#Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1809.00424

Abstract

We construct a cohomological field theory for a gauged linear sigma model space in geometric phase, using the method of gauge theory and differential geometry. The cohomological field theory is expected to match the Gromov-Witten theory of the classical vacuum up to a change of variable, and is expected to match various other algebraic geometric constructions.

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