Construction on the Solution of osp(1｜4)Toda Model

YANG ZhanYing; ZHEN Yi

Chinese Physics C> 2000, Vol. 24> Issue(6) : 484-489

Construction on the Solution of osp(1｜4)Toda Model

YANG ZhanYing ^, ,
ZHEN Yi

Institute of Modern Physics, Northwest University, Xi'an 710069

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Abstract：
The Leznov-Saveliev algebraic analysis method and Drinfeld -Sokolov construction are applied to the supersymmetric case. In this approach, we obtained the solution of the osp(1｜4)Toda model on the base of the Lie super algebra osp(1｜4)and its highest weight by introducing chiral vectors. Therefore, we generalized this method to two rank case.

References

[1]

Sorokin,Toppan.hepth/9610038[2] Derjagin V B,Leznov A N,Sorin A.solvint/9803010[3] Prata N G N.hepth/9704851[4] Leznov A N,Saveliev M V.Lett.Math.Phys.,1979,207:489[5] CHAO L,HOU BoYu.Annals.Phys,1994,I–20:230[6] CHAO L,QU C Z.Int.J.Phys.1997,36:7[7] Leznov A N,Saveliev M V.Lett.Math.Phys.,1982,6:505[8] Leznov A N.Phys.Lett.,1978,B79.294;Commun.Math.Phys.,1980.74[9] YANG ZhangYing,ZHAO Liu,ZHEN Yi.High Energy Phys.and Nucl.Phys.(inChinese),1999,24:91(杨战营,赵柳,甄翼.高能物理与核物理,1999,24:91)[10] Olshannesky M A.Commun. Math.Phys.,1983,88:63[11] Kac V G.Adv. Math.,1977,26:85

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YANG ZhanYing and ZHEN Yi. Construction on the Solution of osp(1｜4)Toda Model[J]. Chinese Physics C, 2000, 24(6): 484-489.

YANG ZhanYing and ZHEN Yi. Construction on the Solution of osp(1｜4)Toda Model[J]. Chinese Physics C, 2000, 24(6): 484-489. shu

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Received: 1999-04-12
Revised: 1900-01-01

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Construction on the Solution of osp(1｜4)Toda Model

YANG ZhanYing ^,
ZHEN Yi

Corresponding author: YANG ZhanYing,

Institute of Modern Physics, Northwest University, Xi'an 710069

Received Date: 1999-04-12
Accepted Date: 1900-01-01
Available Online: 2000-06-05

Abstract: The Leznov-Saveliev algebraic analysis method and Drinfeld -Sokolov construction are applied to the supersymmetric case. In this approach, we obtained the solution of the osp(1｜4)Toda model on the base of the Lie super algebra osp(1｜4)and its highest weight by introducing chiral vectors. Therefore, we generalized this method to two rank case.