Torus上一般复结构的Virasoro代数

THE VIRASORO ALGEBRA ON TORUS WITH GENERAL METRIC

我们讨论了torus上一般度规下,复结构的形式和相应的能量动量张量T(z),T(z);并在τ度规下,解torus上的玻色弦及其鬼的运动方程,得到了弦场和鬼场通解形式;最后我们给出了torus上一般复结构的Virasoro代数,并证明了不同复结构上的Virasoro代数相同.

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 Virasoro algebras.