Compère, GeoffreySong, WeiStrominger, Andrew2014-10-022013Compère, Geoffrey, Wei Song, and Andrew Strominger. 2013. Chiral Liouville Gravity. Journal of High Energy Physics 2013, no. 5: 154.1029-8479http://nrs.harvard.edu/urn-3:HUL.InstRepos:12992313Classical two-dimensional Liouville gravity is often considered in conformal gauge which has a residual left and right Virasoro symmetry algebra. We consider an alternate, chiral, gauge which has a residual right Virasoro Kac-Moody algebra, and no left Virasoro algebra. The Kac-Moody zero mode is the left-moving energy. Dirac brackets of the constrained Hamiltonian theory are derived, and the residual symmetries are shown to be generated by integrals of the conserved chiral currents. The central charge and Kac-Moody level are computed. The possible existence of a corresponding quantum theory is discussed.en-USModels of Quantum GravityConformal Field Models in String TheoryBlack Holes in String TheoryAdS-CFT CorrespondenceJournal Article2014-10-0210.1007/jhep05(2013)154