TY  - JOUR
A1  - Ludewig, Matthias
A1  - Roos, Saskia
T1  - The chiral anomaly of the free fermion in functorial field theory
T2  - Annales Henri Poincaré : a journal of theoretical and mathematical physics
N2  - When trying to cast the free fermion in the framework of functorial field theory, its chiral anomaly manifests in the fact that it assigns the determinant of the Dirac operator to a top-dimensional closed spin manifold, which is not a number as expected, but an element of a complex line. In functorial field theory language, this means that the theory is twisted, which gives rise to an anomaly theory. In this paper, we give a detailed construction of this anomaly theory, as a functor that sends manifolds to infinite-dimensional Clifford algebras and bordisms to bimodules.
Y1  - 2020
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/58516
SN  - 1424-0637
SN  - 1424-0661
VL  - 21
IS  - 4
SP  - 1191
EP  - 1233
PB  - Springer International Publishing AG
CY  - Cham (ZG)
ER  -