【摘要】 本文提出了自由闭玻色弦场论的新扩展形式.系统地研究了闭玻色弦场论的规范对称性和辅助场结内.通过适当定义Virasoro生成元,把闭弦的左模和右模所满足的Virasofo代数表述成统一形式.在此基础上定义两个上同调算符,并引入闭弦的功能算符和一个铺助算符,建立起闭弦旧微分形式理论.然后把这种微分形式理论应用于闭弦场论.在解除对闭弦场泛函约束的过程中,辅助场自然地出现.随着约束条件的逐级解除,运功方程和规范变换一级接一级出现,辅助场的个也数逐级增加.辅助场了堵塞觇范遗漏的作用起.最后,关于弦场和辅助场,我们获得了可以给出任意高级次场方程和规范变换的递推公式.更多还原

【Abstract】 In this paper, a new extended formulation of the closed bosonic string field theory is presented. Furthermore, gauge symmetries and supplementary field structures are systematically studied by using the language of differential forms developed here. The Virasoro algebra of closed strings which the left movers and the right movers satisfy are expressed as a new unified form. Next the two cohomological operators are defined according to the new form of the algebra. A kinetic operator and a supplementary operator are also introduced. A differential form theory is developed by using the above operators and the Virasoro algebra. Then the differential form theory is applied to the closed bosonic string field theory. In the process of the relaxation of the constraint conditions for the closed bosonic string field function, supplementary fields naturally appear and equations of motion and gauge transformations are obtained for the string field level by level. Finally the equation for any higher level and the descent formula of gauge transformations for the string field and the supplementary field are given.更多还原