Critical dimensions of spinning strings on group manifolds from Fujikawas method

A. Eastaugh, L. Mezincescu, E. Sezgin, P. Van Nieuwenhuizen

Research output: Contribution to journalArticle

22 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)29-32
Number of pages4
JournalPhysical Review Letters
Volume57
Issue number1
DOIs
StatePublished - Jan 1 1986
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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