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arXiv · 2009.00333

Smooth Fock bundles, and spinor bundles on loop space

Peter Kristel·Konrad Waldorf
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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.

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BibTeXRIS

Peter Kristel, Konrad Waldorf. 2020-09-01. Smooth Fock bundles, and spinor bundles on loop space. https://arxiv.org/abs/2009.00333

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