Integrable Models of 1+1 Dimensional Dilaton Gravity Coupled to Scalar Matter

Details Integrable Models of 1+1 Dimensional Dilaton Gravity Coupled to Scalar Matter Integrable Models of 1+1 Dimensional Dilaton Gravity Coupled to Scalar Matter

2005-05-06

arxiv.org/abs/hep-th/0505060v2

Theor.Math.Phys.146:95-107,2006; Teor.Mat.Fiz.146:115-131,2006

Physics

High Energy Physics

High Energy Physics - Theory

14 pages. In Section 2, 1.5 pages and 8 references were added to make the review of other integrable models more complete. In

Scientific paper

10.1007/s11232-006-0010-z

A class of explicitly integrable models of 1+1 dimensional dilaton gravity coupled to scalar fields is described in some detail. The equations of motion of these models reduce to systems of the Liouville equations endowed with energy and momentum constraints. The general solution of the equations and constraints in terms of chiral moduli fields is explicitly constructed and some extensions of the basic integrable model are briefly discussed. These models may be related to high dimensional supergravity theories but here they are mostly considered independently of such interpretations. A brief review of other integrable models of two-dimensional dilaton gravity is also given.

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