Exact Solution of Super Liouville Model

YANG ZhanYing; ZHAO Liu; ZHEN Yi

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2000, Vol. 24> Issue(2) : 91-97

Exact Solution of Super Liouville Model

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

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Abstract：
Using Leznov-Saveliev algebraic analysis and Drinfeld-Sokolov construction,we obtaine the explicit solutions to the super Liouville system in super covariant form and component form. The explicit solution in component form reduces naturally into the Egnchi-Hanson instanton solution of the usual Liouville equation if all the grassmann odd componenets are set equal to zero.

References

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. Polyakov A M .Phys.Lett.,1980 ,B103:207 2. LIAO H C ,Mansfield P .Nucl.Phys.Lett.,1995,B359:1183. Polyakov A M. Phys.Lett.,1980 ,B103:211 4. Arvis J F .Nucl.Phys.,1983,B212 :151 5. Babelon O .Nucl.Phys.,1985,B258:6806. Bowcock P ,Corrigan E ,Dorey P E Nucl,Phys.,1995,B445:469 7. Schulze J .hep–th/96021778. Leznov A N ,Saveliev M V .Lett.Math .Phys.,1979,3:207;4899. CHAOL ,HOUBoYu .Annals.Phys.,1994 ,230 :1– 2010. CHAO L ,QU C Z .Int .J.Phys.,1997,36 (7) :111–11811. Leznov A N ,Saveliev M V .Lett.Math .Phys .,1982 ,6:505 12. Leznov A N .Phys.Lett.,1978,B79:294 ;Commun .Math .Phys.,1980 ,74 :1537–1542 13. Babelon O .Phys.Lett.,1988,B215:523;Phys.Lett.,1991,B260 :81

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YANG ZhanYing, ZHAO Liu and ZHEN Yi. Exact Solution of Super Liouville Model[J]. Chinese Physics C, 2000, 24(2): 91-97.

YANG ZhanYing, ZHAO Liu and ZHEN Yi. Exact Solution of Super Liouville Model[J]. Chinese Physics C, 2000, 24(2): 91-97. shu

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Received: 1998-12-28
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

Exact Solution of Super Liouville Model

Corresponding author: YANG ZhanYing,

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

Received Date: 1998-12-28
Accepted Date: 1900-01-01
Available Online: 2000-02-05

Abstract: Using Leznov-Saveliev algebraic analysis and Drinfeld-Sokolov construction,we obtaine the explicit solutions to the super Liouville system in super covariant form and component form. The explicit solution in component form reduces naturally into the Egnchi-Hanson instanton solution of the usual Liouville equation if all the grassmann odd componenets are set equal to zero.