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arXiv · hep-th/9207117

Chiral gravity in two dimensions

R. C. Myers·V. Periwal
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Abstract

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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R. C. Myers, V. Periwal. 1992-07-31. Chiral gravity in two dimensions. https://doi.org/10.1016/0550-3213(93)90343-n

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