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Torsion parallel spinors on Lorentzian four-manifolds and supersymmetric evolution flows on bundle gerbes
C. S. Shahbazi
https://arxiv.org/abs/2507.06228 h…

Torsion parallel spinors on Lorentzian four-manifolds and supersymmetric evolution flows on bundle gerbes
In this dissertation, parallel spinors on oriented and spin Lorentzian four-manifolds are investigated using the theory of spinorial polyforms. The main applications are directed towards the study of torsion parallel spinors and the globally hyperbolic solutions of the four-dimensional supersymmetric NS-NS system. This differential system, which originates in supergravity, involves torsion parallel spinors subject to a curvature condition and provides a natural gauge-theoretic interpretation of…