Conformal invariance and string theory in compact space: Bosons

Details Conformal invariance and string theory in compact space: Bosons Conformal invariance and string theory in compact space: Bosons

Nov 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..32.2713j&link_type=abstract

Physical Review D (Particles and Fields), Volume 32, Issue 10, 15 November 1985, pp.2713-2721

Mathematics

Logic

66

Nonlinear Or Nonlocal Theories And Models, Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

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.

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