Smooth Fock bundles, and spinor bundles on loop space
Representation Theory
2020-10-20 v2 Mathematical Physics
math.MP
Abstract
We address the construction of smooth bundles of fermionic Fock spaces, a problem that appears frequently in fermionic gauge theories. Our main motivation is the spinor bundle on the free loop space of a string manifold, a structure anticipated by Killingback, with a construction outlined by Stolz-Teichner. We develop a general framework for constructing smooth Fock bundles, and obtain as an application a complete and well-founded construction of spinor bundles on loop space.
Keywords
Cite
@article{arxiv.2009.00333,
title = {Smooth Fock bundles, and spinor bundles on loop space},
author = {Peter Kristel and Konrad Waldorf},
journal= {arXiv preprint arXiv:2009.00333},
year = {2020}
}
Comments
46 pages