Elsevier

Physics Letters B

Volume 291, Issues 1–2, 17 September 1992, Pages 53-62
Physics Letters B

Quantum Liouville theory on the Riemann sphere with n> 3 punctures

https://doi.org/10.1016/0370-2693(92)90118-NGet rights and content

Abstract

We have studied the quantum Lioville theory on the Riemann sphere with n> 3 punctures. While considering the theory on the Riemann surfaces with n=4 punctures, the quantum theory near an arbitrary but fixed puncture can be obtained via canonical quantization and an extra symmetry is explored. While considering more than four distinguished punctures, we have found the exchange relations of the monodromy parameters from which we can get a reasonable quantum theory.

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  • Generalized Weierstrass-Enneper inducing, conformal immersions, and gravity

    1996, International Journal of Modern Physics A

  • The exchange algebra for Liouville field on Riemann surfaces with h>1 genus

    1994, Journal of Physics A: General Physics
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