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 - 1986 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
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Critical dimensions of spinning strings on group manifolds from Fujikawas method. / Eastaugh, A.; Mezincescu, Alexandru; Sezgin, E.; Van Nieuwenhuizen, P.
In: Physical Review Letters, Vol. 57, No. 1, 1986, p. 29-32.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Critical dimensions of spinning strings on group manifolds from Fujikawas method
AU - Eastaugh, A.
AU - Mezincescu, Alexandru
AU - Sezgin, E.
AU - Van Nieuwenhuizen, P.
PY - 1986
Y1 - 1986
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=35949017654&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=35949017654&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.57.29
DO - 10.1103/PhysRevLett.57.29
M3 - Article
AN - SCOPUS:35949017654
VL - 57
SP - 29
EP - 32
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 1
ER -