Kac-Moody structure of chiral gravity in the light-cone gauge
A.Smailagic, Euro Spallucci
TL;DR
This paper investigates the residual symmetry structure of chiral gravity in the light-cone gauge, revealing how quantum effects modify the Kac-Moody algebra and introduce a free parameter, opening new avenues for strong gravity research.
Contribution
It demonstrates the renormalization of the Kac-Moody central charge and the impact of the Lorentz anomaly, highlighting the role of a free parameter in the symmetry structure.
Findings
Quantum effects renormalize the Kac-Moody central charge.
Lorentz anomaly introduces an arbitrary parameter.
No forbidden range for the Kac-Moody central charge.
Abstract
We study the residual symmetry 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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