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• W3100477304 abstract "We prove a relation between the asymptotic behavior of the conformal factor and the accessory parameters of the SU(1,1) Riemann- Hilbert problem. Such a relation shows the hamiltonian nature of the dynamics of N particles coupled to 2+1 dimensional gravity. A generalization of such a result is used to prove a connection between the regularized Liouville action and the accessory parameters in presence of general elliptic singularities. This relation had been conjectured by Polyakov in connection with 2-dimensional quantum gravity. An alternative proof, which works also in presence of parabolic singularities, is given by rewriting the regularized Liouville action in term of a background field." @default.
• W3100477304 created "2020-11-23" @default.
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• W3100477304 date "2002-09-01" @default.
• W3100477304 modified "2023-10-16" @default.
• W3100477304 title "Liouville theory, accessory parameters and (2+1)-dimensional gravity" @default.
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• W3100477304 doi "https://doi.org/10.1016/s0550-3213(02)00471-6" @default.
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