Conformally Reduced WZNW Theory,New Extended Chiral Algebras and Their Associated Toda Type Integrable Systems (Ⅱ)An Example

  • As an example and application of the method of our previous work,we construct explicitly the W algebra W[(pqp)2] by the use of the canonical formalism of the corresponding generalized Toda theory,namely the (pqp)2 Toda theory.Then we discuss various special limits of W[(pqp)2] and point out the isomorphism between W[(pqp)2] and W[(pq+p)1].
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  • [1] J. Balog, L. Feher, L. O'Raifeartaigh, 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, 1FT/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'Raifeartai沙, DIAS-STP-90-43, DIAS-STP-90-45.[6]L.O'Raifeartaigh, P, Ruelle, I. Tsutsui and A. Wipf, DIAS-STP-91-03.[7]L.Feher, L. O'Raifeartaigh, P. Ruelle, I. Tsutaui and A. Wipf, DIAS-STP-91-17.[8]J. Fucks, Phys. Lett.,B262(1991), 249[9]F. A. Hias, T. Tji9, P. van Driel, Nucl. Phys., B357(1991), 632[10] L. Chao, NWU/IMP/910525.[11] M. Bershadsky, IASSNS-HEP-90/44.[12] Hou Bovu and Zhao Liu.高能物理与核物理,16(1992),[13] A. B. Zamolodchikov, Theore. Math. Phys., 63(1985), 1205.[14] V. A. Fatteev and A. B. Zamolodchikov, Nucl. Phys., BZ80(1987); 644.[15] Hou Bo-yu and Liu, On the connections o W algebras from different reductions of WZ NW theory,to aooear.
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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 (Ⅱ)An Example[J]. Chinese Physics C, 1993, 17(3): 241-251.
HOU Bo-Yu and ZHAO Liu. Conformally Reduced WZNW Theory,New Extended Chiral Algebras and Their Associated Toda Type Integrable Systems (Ⅱ)An Example[J]. Chinese Physics C, 1993, 17(3): 241-251. shu
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Received: 1900-01-01
Revised: 1900-01-01
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Conformally Reduced WZNW Theory,New Extended Chiral Algebras and Their Associated Toda Type Integrable Systems (Ⅱ)An Example

    Corresponding author: HOU Bo-Yu,
  • Institute of Modern Physies,Northwest University,Xian 710069

Abstract: As an example and application of the method of our previous work,we construct explicitly the W algebra W[(pqp)2] by the use of the canonical formalism of the corresponding generalized Toda theory,namely the (pqp)2 Toda theory.Then we discuss various special limits of W[(pqp)2] and point out the isomorphism between W[(pqp)2] and W[(pq+p)1].

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