Abstract
A candidate of c{sub L} > 1 Liouville gravity is studied via infinite dimensional representations of U{sub q}sl(2, C) with q at a root of unity. We show that vertex operators in this Liouville theory are factorized into classical vertex operators and those which are constructed from finite dimensional representations of U{sub q}sl(2, C). Expressions of correlation functions and transition amplitudes are presented. We discuss about our results and find an intimate relation between our quantization of the Liouville theory and the geometric quantization of moduli space of Riemann surfaces. An interpretation of quantum space-time is also given within this formulation. (author).
Citation Formats
Suzuki, Takashi.
A quantum group approach to c{sub L} > 1 Liouville gravity.
Japan: N. p.,
1995.
Web.
Suzuki, Takashi.
A quantum group approach to c{sub L} > 1 Liouville gravity.
Japan.
Suzuki, Takashi.
1995.
"A quantum group approach to c{sub L} > 1 Liouville gravity."
Japan.
@misc{etde_204973,
title = {A quantum group approach to c{sub L} > 1 Liouville gravity}
author = {Suzuki, Takashi}
abstractNote = {A candidate of c{sub L} > 1 Liouville gravity is studied via infinite dimensional representations of U{sub q}sl(2, C) with q at a root of unity. We show that vertex operators in this Liouville theory are factorized into classical vertex operators and those which are constructed from finite dimensional representations of U{sub q}sl(2, C). Expressions of correlation functions and transition amplitudes are presented. We discuss about our results and find an intimate relation between our quantization of the Liouville theory and the geometric quantization of moduli space of Riemann surfaces. An interpretation of quantum space-time is also given within this formulation. (author).}
place = {Japan}
year = {1995}
month = {Mar}
}
title = {A quantum group approach to c{sub L} > 1 Liouville gravity}
author = {Suzuki, Takashi}
abstractNote = {A candidate of c{sub L} > 1 Liouville gravity is studied via infinite dimensional representations of U{sub q}sl(2, C) with q at a root of unity. We show that vertex operators in this Liouville theory are factorized into classical vertex operators and those which are constructed from finite dimensional representations of U{sub q}sl(2, C). Expressions of correlation functions and transition amplitudes are presented. We discuss about our results and find an intimate relation between our quantization of the Liouville theory and the geometric quantization of moduli space of Riemann surfaces. An interpretation of quantum space-time is also given within this formulation. (author).}
place = {Japan}
year = {1995}
month = {Mar}
}