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Two-Dimensional Gravity and Nonlinear Gauge Theory

โœ Scribed by N. Ikeda

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
966 KB
Volume
235
Category
Article
ISSN
0003-4916

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โœฆ Synopsis

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 (R^{2}) gravity with dynamical torsion and generic form of "dilaton" gravity. The supersymmetric extension of this theory is also discussed. 1994 Academic Press, Inc.

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