Chiral Liouville Gravity

Abstract

Classical 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.

17 pages

References in corpus (11)

• Warped AdS_3 Black Holes
• Warped Conformal Field Theory
• New Boundary Conditions for AdS3
• Semi-classical central charge in topologically massive gravity
• Boundary conditions for spacelike and timelike warped AdS_3 spaces in topologically massive gravity
• Chiral Scale and Conformal Invariance in 2D Quantum Field Theory
• Holography for Schrodinger backgrounds
• Kerr/CFT, dipole theories and nonrelativistic CFTs
• Warped AdS3/Dipole-CFT Duality
• The Spectrum of Strings on Warped AdS_3 x S^3
• Microscopics of Extremal Kerr from Spinning M5 Branes

Cited by in corpus (34)

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• Gravity Waves from Kerr/CFT
• Tweaking one-loop determinants in AdS${}_3$
• Correlation Functions of Warped CFT
• A note on the complex SYK model and warped CFTs
• On complexity growth in massive gravity theories, the effects of chirality and more
• Two Virasoro symmetries in stringy warped AdS${}_3$
• Towards the generalized gravitational entropy for spacetimes with non-Lorentz invariant duals
• Warped Information and Entanglement Islands in AdS/WCFT
• Bootstrapping holographic warped CFTs or: how I learned to stop worrying and tolerate negative norms
• Modular Hamiltonians in flat holography and (W)AdS/WCFT
• Entanglement and chaos in warped conformal field theories
• Phase Transitions in Warped AdS${}_3$ Gravity
• Complexity of warped conformal field theory
• Complexity and Emergence of Warped ${\text{AdS}}_3$ Space-time from Chiral Liouville Action
• Reflected Entropy in AdS${}_3$/WCFT
• Holographic entanglement entropy in AdS${}_3$$/$WCFT
• Structure Constants from Modularity in Warped CFT
• Supersymmetric Warped Conformal Field Theory
• Rényi Mutual Information in Holographic Warped CFTs
• Near-Extremal Limits of Warped Black Holes
• Aspects of Higher-Spin Theory with Fermions
• Warped Flatland
• Note on Bulk Reconstruction in AdS${}_3$/WCFT${}_2$
• BTZ Black Holes and Flat Space Cosmologies in Higher Derivative Theories
• Holographic chiral induced W-gravities
• Zoology of heterotic supercurrent supermultiplets in d=2
• Asymptotic dynamics of three-dimensional gravity
• Gravitational radiations of Kerr black hole from warped symmetries
• Boundary Conditions for Warped AdS${}_3$ in Quadratic Ensemble