English

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

Differential Geometry 2022-01-05 v2 Analysis of PDEs

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.

Keywords

Cite

@article{arxiv.2112.00814,
  title  = {Spinor flows with flux, I: short-time existence and smoothing estimates},
  author = {Tristan C. Collins and Duong H. Phong},
  journal= {arXiv preprint arXiv:2112.00814},
  year   = {2022}
}

Comments

62 pages. updated references, some typos corrected