Abstract
An explicit representation is constructed, starting with the operator algebra corresponding to the Coulomb gas representation of conformal field theories. By “quantizing” the uniformization theory of Riemann surfaces, the geometric interpretation of such a representation is obtained.
Partially supported by the Swiss National Science Foundation.
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References
P. Kulish and E. K. Sklyanin, J. Soviet Math. 19 (1982) 1596, Lecture Notes in Physics 151 (1982) 61; P. Kulish and N. Yu. Reshetikhin, Uspekhi Math. Nauk. 40 (1985) 214; E. K. Sklyanin, Funct. Anal. i Appl. 16 (1982) 27; 17 (1983) 273
M. Jimbo, Lett. Math. Phys. 10 (1985) 63.
V. G. Drinfeld, Soviet Math. Doklady 32 (1985) 254 and ICM Proceedings, Berkeley 798, 1986
R. J. Baxter, Exacty Solved Models in Statistical Mechanics, 1982
L. Kadanoff and J. Wegner, Phys. Rev. B4 (1971) 3983; Wu F.Y., Phys. Rev. B4 (1971) 2312
See e.g., M. Jimbo in Advanced Series in Math. Physics, Vol. 9 (1989) World Scientific, Singapore
L. Alvarez Gaume, C. Gomez and G. Sierra, Phys. Lett. 220E (1989) 142, Nucl. Phys. 8319 (1989)155; G. Moore and N. Reshetikhin, Nucl. Phys. 8328 (1989) 557; E. Witten, Nucl. Phys. 8330 (1990) 285; I. Todorov, Clausthal Meeting on Quantum Groups; P. Furlan, V. Petkova and I. Ganchev, Trieste preprint (1989)
C. Gomez and G. Sierra, Phys. Lett. 2408 (1990) 149 and Geneve preprint UGVA-DPT1990/04/669, to appear in Nucl. Phys. B
C. Ramírez, H. Ruegg and M. Ruiz-Altaba, Genève preprint UGVA-DPT-1990/06/675, to appear in Phys. Lett. B
C. Gomez and G. Sierra, Geneve preprint UGVA-DPT-1990/08/694
See e.g., P. Zograf and L. Takhtadjan, Funk. Anal. i Priloz. 19,3 (1985)
J. L. Gervais and A. Neveu, Nucl. Phys. 8224 (1983) 329; B238 (1984) 125
J. L. Gervais, Paris preprint LPTENS 90/13
F. Smirnov and L. Takhtadjan, Steklov Institute (Leningrad) preprint (1990) *** DIRECT SUPPORT *** A3418301 00004
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© 1991 Springer-Verlag
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Gómez, C., Sierra, G. (1991). Quantum groups, Riemann surfaces and conformal field theory. In: Bartocci, C., Bruzzo, U., Cianci, R. (eds) Differential Geometric Methods in Theoretical Physics. Lecture Notes in Physics, vol 375. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-53763-5_51
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DOI: https://doi.org/10.1007/3-540-53763-5_51
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