Kac-Moody structure of chiral gravity in the light-cone gauge

Abstract

We study the residual symmetry SL(2,R) U(1) of the chiral gravity in the light-cone gauge. Quantum gravitational effects renormalize the Kac-Moody central charge and introduce, through the Lorentz anomaly, an arbitrary parameter. Due to the presence of this free parameter the Kac-Moody central charge has no forbidden range of values, and the strong gravity regime is open to investigations.

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