Affine Toda Fields as Restriced WZNW Model

HOU Bo-Yu; ZHAO Liu; YANG Huan-Xiong

Chinese Physics C> 1991, Vol. 15> Issue(8) : 701-710

Affine Toda Fields as Restriced WZNW Model

Institute of Modern Physics,Northwest University,Xian 710069

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Abstract：
The Sine-Gordon equation is derived from the conformally invariant WZNW model by imposing constraints.The action,equation of motion,canonical equal-time Poisson braket and energy-momentum tensor of S.G.E. are obtained,and the absence of conformal invariance and the complete integrability of S.G.E. are explained.The restricted WZNW model is related to the nonlinear sigma model.In addition,the SL(n,R) affine Toda fields and the SL(2,R) conformal affine Toda fields are also derived from the restricted WZNW model.

References

[1]

A. B. Zamolodchikov, Theore, Math. Phys., 83(1985), 1205. V. A. Fatteev and A. B. Zamolodchikov, Nucl. Phys., B280(1987), 644.[2] V. A. Fatteev and S. L. Luk'yanov, Int. J. Mod. Phys., A3(1988), 507.[3] A. N. Leznov and M. V. Saveliev, Lett. Math. Phys., 3(1979), 489.[4] A.Bilal and J.-L Gervais, Phys. Lett., 208B (1988), 412. Nucl. Phys., B314(1989) 646. Nucl. Phys., B318(1989), 579.[5] A.B. Zamolodchikov. Int. J.Phys., A4(1989), 4235.[6] T. Eguchi and S. K. Yang, Phys. Lett., 224B(1989), 373. 235B, 282 (1990).[7] H. W. Braden, E. Corrigan, P. E. Dorey and K. Sasaki, Nucl. Phys. B318, 689(1990).[8] P. Goddard,^.Kent and D. Olive, Phys. Lett., 152B(1985), 88.[9] G. Moore and N. Seiberg, Phys. Lett., 220B(1989), 422.[10] J. Balog, L. Feher, P. Forgacs, O'Raifertaigh and A. Wipf, Phys. Lett., 227B(1989), 214. Dublin/Zurich preprint DIAS-STP-89-31, DIAS-STP-90-2.[11] M. Bershadsky and H. Ooguri, Commun. Math. Phys., 126(1989), 49.[12] Q. -H. Park, Nucl. Phys., 8333(1990), 267.[13] A. Alekseev and S. Shatashvili, Nucl. Phys., B323(1989), 719.[14] A. M. Polyakov, Mod. Phys. Lett., A2(1987), 893. V. G. Kniznik,A.M. Polyakov and A.B. Zamolodchikov, Mod. Phys. Lett., A3(1988), 819.[15] O. Babelon and L. Bonora, Phys. Lett., 244B(1990), 220.[16] Hou Bo-yu, Hou Bo-yuan and Wang Pei, in the gook 'Gauge theory,grouptheory and completely integra-ble systems', p.362,ed. by Hou Bo-yu,Northwest University Press (1985).[17] Hou Bo-yu, J. Moth. Phys., 25(1984), 2325.[18] H Aratyn, L. A. Ferreira J F.Gomes and A. H. Zimerman, IFT/P-24/90.

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HOU Bo-Yu, ZHAO Liu and YANG Huan-Xiong. Affine Toda Fields as Restriced WZNW Model[J]. Chinese Physics C, 1991, 15(8): 701-710.

HOU Bo-Yu, ZHAO Liu and YANG Huan-Xiong. Affine Toda Fields as Restriced WZNW Model[J]. Chinese Physics C, 1991, 15(8): 701-710. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Affine Toda Fields as Restriced WZNW Model

Corresponding author: HOU Bo-Yu,

Institute of Modern Physics,Northwest University,Xian 710069

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1991-08-05

Abstract: The Sine-Gordon equation is derived from the conformally invariant WZNW model by imposing constraints.The action,equation of motion,canonical equal-time Poisson braket and energy-momentum tensor of S.G.E. are obtained,and the absence of conformal invariance and the complete integrability of S.G.E. are explained.The restricted WZNW model is related to the nonlinear sigma model.In addition,the SL(n,R) affine Toda fields and the SL(2,R) conformal affine Toda fields are also derived from the restricted WZNW model.