A formalism for the calculus of variations with spinors
General Relativity and Quantum Cosmology
2016-01-14 v2 Differential Geometry
Abstract
We develop a frame and dyad gauge-independent formalism for the calculus of variations of functionals involving spinorial objects. As part of this formalism we define a modified variation operator which absorbs frame and spin dyad gauge terms. This formalism is applicable to both the standard spacetime (i.e. SL(2,C)) 2-spinors as well as to space (i.e. SU(2,C)) 2-spinors. We compute expressions for the variations of the connection and the curvature spinors.
Keywords
Cite
@article{arxiv.1505.03770,
title = {A formalism for the calculus of variations with spinors},
author = {Thomas Bäckdahl and Juan A. Valiente Kroon},
journal= {arXiv preprint arXiv:1505.03770},
year = {2016}
}
Comments
18 pages. Added diffeomorphism dependence