Two-Dimensional Gravity and Nonlinear Gauge Theory

Details Two-Dimensional Gravity and Nonlinear Gauge Theory Two-Dimensional Gravity and Nonlinear Gauge Theory

1993-12-08

arxiv.org/abs/hep-th/9312059v1

Annals Phys. 235 (1994) 435-464

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, phyzzx, RIMS-953

Scientific paper

10.1006/aphy.1994.1104

We review nonlinear gauge theory and its application to two-dimensional gravity. 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 Poincar{\' e} 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.

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