Gerbes and quantum field theory

Details Gerbes and quantum field theory Gerbes and quantum field theory

2006-03-11

arxiv.org/abs/math-ph/0603031v1

Physics

Mathematical Physics

13 pages, references according to the Encyclopedia standards. To be publ. in the Encyclopedia of Mathematical Physics (Elsevie

Scientific paper

The basic mechanism how gerbes arise in quantum field theory is explained; in
particular the case of chiral fermions in background fields is treated. The
role of of various gauge group extensions (central extensions of loop groups
and their generalizations) is also explained, in relation to index theory
computation of the Dixmier-Douady class of a gerbe.

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