Spinor flows with flux, I: short-time existence and smoothing estimates

preprint2022arXivOpen access

Abstract

Spinor fields which are covariantly constant with respect to a connection with flux are of particular interest in unified string theories and supergravity theories, as their existence is required by supersymmetry. In this paper, flows of spinor fields are introduced which are parabolic and whose stationary points are such covariantly constant spinors.

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