We derive the critical dimensions of bosonic string on SO(N) group-manifolds for arbitrary level k, using path-integral methods and non-abelian bosonization techniques. We obtain a recursive equation for the critical dimensions, whose solution is in agreement with the operator approach results. We also discuss the application of this method to the linear sigma models.
Critical dimensions for strungs on group-manifolds from path-integral methods / A. Ceresole, A. Lerda, P. Pizzochero, P. Vannieuwenhuizen. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - 189:1-2(1987), pp. 34-38.
Critical dimensions for strungs on group-manifolds from path-integral methods
P. Pizzochero;
1987
Abstract
We derive the critical dimensions of bosonic string on SO(N) group-manifolds for arbitrary level k, using path-integral methods and non-abelian bosonization techniques. We obtain a recursive equation for the critical dimensions, whose solution is in agreement with the operator approach results. We also discuss the application of this method to the linear sigma models.
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