Critical dimensions of spinning strings on group manifolds from Fujikawa's method.
Academic Article
Overview
Research
Identity
Additional Document Info
Other
View All
Overview
abstract
We discuss the derivation of Fujikawas method of the critical dimensions of the following models: the bosonic and N=1 locally supersymmetric nonlinear sigma models, and the N=2 and N=4 spinning strings. We argue that in the N=1 models the group-invariant measure is supersymmetric and does not lead to an extra anomaly. Our results are consistent with conjectured non-Abelian bosonization formulas for gravitational path integrals only for k=1, where k is the central extension of the Kac-Moody algebra. 1986 The American Physical Society.