Chiral gravity in two dimensions

Details Chiral gravity in two dimensions Chiral gravity in two dimensions

1992-07-31

arxiv.org/abs/hep-th/9207117v1

Nucl.Phys. B397 (1993) 239-259

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, iassns-hep-92-19/McGill/92-26

Scientific paper

10.1016/0550-3213(93)90343-N

It is shown that conformal matter with $c_{\ssc L}\not=c_{\ssc R}$ can be consistently coupled to two-dimensional `frame' gravity. The theory is quantized, following David, and Distler and Kawai, using the derivation of their {\it ansatz} due to Mavromatos and Miramontes, and D'Hoker and Kurzepa. New super-selection rules are found by requiring SL(2,{\bf C}) invariance of correlation functions on the plane. There is no analogue of the $c=1$ barrier found in non-chiral non-critical strings. A non-critical heterotic string is constructed---it has 744 states in its spectrum, transforming in the adjoint representation of $(E_8)^3.$ Correlation functions are calculated in this example.

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