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On the mathematics and physics of Mixed Spin P-Fields

arXiv:1907.06152

Abstract

We outline various developments of affine and general Landau Ginzburg models in physics. We then describe the A-twisting and coupling to gravity in terms of Algebraic Geometry. We describe constructions of various path integral measures (virtual fundamental class) using the algebro-geometric technique of cosection localization, culminating in the theory of ``Mixed Spin P (MSP) fields" developed by the authors.

This article is a survey of the Mixed Spin P(MSP) field theory for quintic threefold. The focus is on physics motivation and beginning geometry setup of the moduli

On the mathematics and physics of Mixed Spin P-Fields · wovepaper