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 language | English (US) |
|---|---|
| Pages (from-to) | 29-32 |
| Number of pages | 4 |
| Journal | Physical Review Letters |
| Volume | 57 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 1 1986 |
| Externally published | Yes |
ASJC Scopus subject areas
- Physics and Astronomy(all)
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Cite this
Eastaugh, A., Mezincescu, L., Sezgin, E., & Van Nieuwenhuizen, P. (1986). Critical dimensions of spinning strings on group manifolds from Fujikawas method. Physical Review Letters, 57(1), 29-32. https://doi.org/10.1103/PhysRevLett.57.29