The Cocycle Condition of Liouville Theory and Its Application to the 2-D Induced Gravity(Ⅰ)

WANG Zhong-Hua; WU Ke; GUO Han-Ying

Chinese Physics C> 1991, Vol. 15> Issue(9) : 784-796

The Cocycle Condition of Liouville Theory and Its Application to the 2-D Induced Gravity(Ⅰ)

CCASTWorld Laboratory,Institute of Theoretical Physics,Academia Sinica,Beijing 100080

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Abstract：
The cocycle condition of the action in the Liouville theory has been proposed.Several composition laws could be deduced from the cocycle condition,such as the composition law of the action in 2-D induced gravity in light-cone gauge,and that of the geometric action in coadjoint Deffs¹ orbits proposed by Alekseev and Shatashivilli.

References

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WANG Zhong-Hua, WU Ke and GUO Han-Ying. The Cocycle Condition of Liouville Theory and Its Application to the 2-D Induced Gravity(Ⅰ)[J]. Chinese Physics C, 1991, 15(9): 784-796.

WANG Zhong-Hua, WU Ke and GUO Han-Ying. The Cocycle Condition of Liouville Theory and Its Application to the 2-D Induced Gravity(Ⅰ)[J]. Chinese Physics C, 1991, 15(9): 784-796. shu

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Received: 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

The Cocycle Condition of Liouville Theory and Its Application to the 2-D Induced Gravity(Ⅰ)

Corresponding author: WANG Zhong-Hua,

CCASTWorld Laboratory,Institute of Theoretical Physics,Academia Sinica,Beijing 100080

Received Date: 1900-01-01

Accepted Date: 1900-01-01

Available Online: 1991-09-05

Abstract: The cocycle condition of the action in the Liouville theory has been proposed.Several composition laws could be deduced from the cocycle condition,such as the composition law of the action in 2-D induced gravity in light-cone gauge,and that of the geometric action in coadjoint Deffs¹ orbits proposed by Alekseev and Shatashivilli.

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The Cocycle Condition of Liouville Theory and Its Application to the 2-D Induced Gravity(Ⅰ)

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