Chiral gravity in two dimensions

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.

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

References in corpus (3)

• Strings below the Planck scale
• A note on 2D chiral gravity and chiral bosons
• A Novel Chiral Boson

Cited by in corpus (8)

• Holography with Gravitational Chern-Simons Term
• $T\bar{T}+{\Lambda }_2$ from a 2d gravity path integral
• Gauge Equivalence in Two--Dimensional Gravity
• Kac-Moody structure of chiral gravity in the light-cone gauge
• Lorentz Anomaly and 1+1-Dimensional Radiating Black Holes
• Partition functions of chiral gauge theories on the two dimensional torus and their duality properties
• Consistent two--dimensional chiral gravity
• Induced Chiral Supergravities in 2D