THE VIRASORO ALGEBRA ON TORUS WITH GENERAL METRIC

XU Kai-Wen; SHEN Jian-Min

Chinese Physics C> 1989, Vol. 13> Issue(7) : 594-599

THE VIRASORO ALGEBRA ON TORUS WITH GENERAL METRIC

XU Kai-Wen ^, ,
SHEN Jian-Min

Zhejiang University,Hangzhou1 Institute of Theoretical Physics of Academia Sinica,Beijing

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Abstract：
We discuss the Virasoro algebra on torus with a general metric.First we give the complex structure and the stress-energy tensor on torus with a general metric.Then we solve the equations of motion for bosonic string and their ghost fields under the general metric,and obtain the general solutions of the equations.Finally,we give the Virasoro algebra on torus with a general complex structure,and show that different complex structures have the same Cirasoro algebras.

References

[1]	M. D. Freeman and D. I. Olive, Phys. Lett, B175(1986), 151.[2] H. Sonoda, Phys. Lett., B184(1987), 336.[3] L. Alvarez and P. Nelson, Preprint., CERN-TH 4615/86[4] A. A. Belavin, A. M. Polyakov and A. B. Zamolodochikov, Nucl. Phys., B241(1984), 333.

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XU Kai-Wen and SHEN Jian-Min. THE VIRASORO ALGEBRA ON TORUS WITH GENERAL METRIC[J]. Chinese Physics C, 1989, 13(7): 594-599.

XU Kai-Wen and SHEN Jian-Min. THE VIRASORO ALGEBRA ON TORUS WITH GENERAL METRIC[J]. Chinese Physics C, 1989, 13(7): 594-599. 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

THE VIRASORO ALGEBRA ON TORUS WITH GENERAL METRIC

XU Kai-Wen ^,
SHEN Jian-Min

Corresponding author: XU Kai-Wen,

Zhejiang University,Hangzhou1 Institute of Theoretical Physics of Academia Sinica,Beijing

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1989-07-05

Abstract: We discuss the Virasoro algebra on torus with a general metric.First we give the complex structure and the stress-energy tensor on torus with a general metric.Then we solve the equations of motion for bosonic string and their ghost fields under the general metric,and obtain the general solutions of the equations.Finally,we give the Virasoro algebra on torus with a general complex structure,and show that different complex structures have the same Cirasoro algebras.