TY - JOUR
T1 - Critical dimensions of spinning strings on group manifolds from Fujikawas method
AU - Eastaugh, A.
AU - Mezincescu, L.
AU - Sezgin, E.
AU - Van Nieuwenhuizen, P.
PY - 1986/1/1
Y1 - 1986/1/1
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.
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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 -