限定背景中两维弦有效理论的双曲复Ernst形式和对称性  

Double Ernst formulation and related symmetries for two dimensional string effective theory in some restricted backgrounds

作　　者：高亚军[1] 

机构地区：[1]渤海大学物理系,辽宁锦州121000

出　　处：《锦州师范学院学报（自然科学版）》2004年第4期309-314,共6页Journal of Jinzhou Normal College (Natural Science Edition)

摘　　要：对限定背景中两维约化弦有效理论作进一步的研究,发现该理论具有二重对称性,构造了相应的双曲复d×d矩阵Ernst势,并将所研究理论的运动方程写为双曲复矩阵Ernst形式。这是对真空引力理论中类似结果的非平凡推广。本文同时考虑了该弦理论的O(d,d)整体对称群,证明其作用可通过双曲复矩阵Ernst势的复分式线性变换来简捷地实现。另外,作为应用,得到了所讨论弦理论的一个无穷长解链,这显示出在此处双曲复方法更为有效。The two-dimensionally reduced string effective theory in a kind of restricted backgrounds is further studied, some so-called doubleness symmetry of this theory is found and some hyperbolic complex d×d matrix Ernst-like potential is constructed, the associated motion equations is written into a hyperbolic complex matrix Ernst-like form.This is a non-trivial generalization of the similar results in vacuumgravity theory. A global symmetry group O(d,d;R) for the studied theory is given and is verified that its action can be realized concisely by a hyperbolic complex matrix form generalization of the fractional linear transformation on the Ernst potential.Moreover, as an application, an infinite chain of solutions of the theory is obtained, which shows that the hyperbolic complex method is more effective.

关 键 词：复矩阵 弦理论 对称性 分式线性变换 类似 对称群 约化 复分 证明 形式 

分 类 号：O151.21[理学—数学] G633[理学—基础数学]