Critical dimensions of spinning strings on group manifolds from Fujikawa's method

Details Critical dimensions of spinning strings on group manifolds from Fujikawa's method Critical dimensions of spinning strings on group manifolds from Fujikawa's method

Jul 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvl..57...29e&link_type=abstract

Physical Review Letters, Volume 57, Issue 1, July 7, 1986, pp.29-32

Physics

19

Supergravity, Nonlinear Or Nonlocal Theories And Models

Scientific paper

We discuss the derivation of Fujikawa's 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.

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