Conformal invariance and string theory in compact space: Bosons
- 15 November 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 32 (10), 2713-2721
- https://doi.org/10.1103/physrevd.32.2713
Abstract
The area law of the Nambu-Goto string is generalized to include a solid-angle-type term, which is purely topological in nature. Such a term exists and is unique provided the manifold M in which the string lives satisfies certain topological conditions. This generalization may be useful to maintain conformal invariance in case M is compact. Using methods of Polyakov and Friedan we identify the conformal anomaly coefficient with the central charge of the Virasoro algebra of this string theory. As an illustration we choose M to be a compact Lie group and compute the anomaly coefficient following the work of Knizhnik and Zamolodchikov.Keywords
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