Conformally Reduced WZNW Theory,New Extended Chiral Algebras and Their Associated Toda Type Integrable Systems (Ⅰ) General Framework

  • We propose and analyse a large class of conformal reductions Cons [g(H,d)] of WZNW theory based on the integral gradations of the underlying Lie algebra g.The W-bases of the associated W-algebras W[g(H,d)] are constru ted under the generalized Drinfeld-Sokolov gauge which we call O'Raifeartaigh gauge of the constrained Kac-Moody currents,and the equations of motion of the extended Toda type integrable systems corresponding to these Walgebras are derived also.
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  • [1] J. Balog, L. Feher, L. O}Raifeartsigh, P. Forgacs and A. Wipf, Phys. Lett., B227 (1989), 214,Ann. Phys.203(1991).76[2]Aratyn, L. A. Ferreira, J. F. Gomes and A. H. Zimerman, IFT/P-24/90.[3]T. Inami, KUNS 1038, HE (TH) 90/14.[4]L. O'Raifeartaigh and A. Wipf, DIAS-STP-90-19, ETH-TH/90-20.[5]L. O'RaiFeartaigh, DIAS-STP-90-43,; DIAS-S3'P-9Q-,45.[6]L.O'Raifeartaigh, P. Ruelle, I. Tsutaui and A. Wipf, DIAS-STP-91-03.[7]L. Feher, L. O'Raifeartaigh, P. Ruelle, I. Tsutsui and A. Wipf, DIAS-STP-91一17.[8]J. Fachs, Phys. Lett., B262 (1991)', 249.[9]F. A. Bias, T. Tjin, P. van Dtiel, Nucl. Phys, B357 (1491), 632.[10]L. Chao, NWU/IMP/910525.[11]M. Bershadsky, IASSNS-HEP-90/44.[12]A. B. Zamolodchikov, Tbtort. Mash. Phys., 63 (1985), 1205.[13]V, A. Fatteev and A. B. Zamolodchikov, Nucl. Phys., B280 (1987), 644.[14]A. B. Zamolodchikov, lnt. J. Mod. Phys., A4 (1989), 4235.[15]T. Eguchiand S. K. Yang, Phys. Lett., B224 (1989), 373, Phys. Lett., B235 (1990), 282.[16]O. Babelon and L. Bonora, Phys. Lett., B267 (1991), 71.[17]M. Fukuma and T. Takebe,Mod. Phys. Lett:. A, Vol. 5, No. T (1990), 509.[18]V. G. Drinfeld an-d V. V. Sokolov, J. Sov. Math. Phys.,30(1984); 1975.[19]M. F. de Groot, T. J. Hollowood and J. L. Miramontes, IASSNS-HEP-91/19.[20]Hou Bo-yu and Chao Liu, Conformally reduced WZNW theory, New extended chiral algebrasand their associated Toda type integrable systems: (II) An Example, to appear.
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HOU Bo-Yu and ZHAO Liu. Conformally Reduced WZNW Theory,New Extended Chiral Algebras and Their Associated Toda Type Integrable Systems (Ⅰ) General Framework[J]. Chinese Physics C, 1993, 17(1): 28-37.
HOU Bo-Yu and ZHAO Liu. Conformally Reduced WZNW Theory,New Extended Chiral Algebras and Their Associated Toda Type Integrable Systems (Ⅰ) General Framework[J]. Chinese Physics C, 1993, 17(1): 28-37. shu
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Revised: 1900-01-01
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Conformally Reduced WZNW Theory,New Extended Chiral Algebras and Their Associated Toda Type Integrable Systems (Ⅰ) General Framework

    Corresponding author: HOU Bo-Yu,
  • Institute of Modern Physics,Northwest University,Xi'an 710069

Abstract: We propose and analyse a large class of conformal reductions Cons [g(H,d)] of WZNW theory based on the integral gradations of the underlying Lie algebra g.The W-bases of the associated W-algebras W[g(H,d)] are constru ted under the generalized Drinfeld-Sokolov gauge which we call O'Raifeartaigh gauge of the constrained Kac-Moody currents,and the equations of motion of the extended Toda type integrable systems corresponding to these Walgebras are derived also.

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