Two-dimensional gravity and nonlinear gauge theory
Two-dimensional gravity and nonlinear gauge theory
复制标题
二维引力与非线性规范理论
DOI：
10.1006/aphy.1994.1104
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发表时间：
1993
影响因子：
3
通讯作者：
N. Ikeda
中科院分区：
文献类型：
--
作者：
N. Ikeda
摘要我们构造了一个基于非线性李代数的规范理论，它是通常基于李代数的规范理论的推广。这是推广规范理论的一个新途径。二维引力是从非线性Poincare代数导出的，它是引力理论的新的Yang-Mills形式。作为典型的例子，我们研究了具有动力学挠率的R2引力和一般形式的“非对称”引力。本文还讨论了该理论的超对称推广。
Abstract We construct a gauge theory based on nonlinear Lie algebras, which is an extension of the usual gauge theory based on Lie algebras. It is a new approach to generalization of the gauge theory. The two-dimensional gravity is derived from nonlinear Poincare algebra, which is the new Yang-Mills-like formulation of the gravitational theory. As typical examples, we investigate R2 gravity with dynamical torsion and generic form of "dilaton" gravity. The supersymmetric extension of this theory is also discussed.