When is the central charge of the Virasoro algebra in string theories in curved space-time not a numerical constant\?

Details When is the central charge of the Virasoro algebra in string theories in curved space-time not a numerical constant\? When is the central charge of the Virasoro algebra in string theories in curved space-time not a numerical constant\?

Feb 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvd..33.1094r&link_type=abstract

Physical Review D (Particles and Fields), Volume 33, Issue 4, 15 February 1986, pp.1094-1097

Physics

3

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

Scientific paper

The central charge c of the Virasoro algebra is calculated to two loops for nonlinear σ models in two dimensions with internal spaces which are general Riemannian manifolds M with torsion; at three loops qualitative results are shown to be in agreement with known results for special manifolds. Unless the scalar curvature R(φi0) (coming from the symmetric portion of the connection) is a constant function of its coordinates (φi0), the central charge c is not a numerical constant. This prevents one from using the σ models discussed here (for R not constant)-those with only kinetic and torsion terms-to construct string models.

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