Gravitational Interactions of integrable models

Abstract

We couple non-linear $\sigma$-models to Liouville gravity, showing that integrability properties of symmetric space models still hold for the matter sector. Using similar arguments for the fermionic counterpart, namely Gross--Neveu-type models, we verify that such conclusions must also hold for them, as recently suggested.

8 pages, final version to appear in Physics Letters B Revised version, with misprints corrected and some references added

References in corpus (5)

• Classical Symmetries of Some Two-Dimensional Models
• ON GRAVITATIONAL DRESSING OF 2D FIELD THEORIES IN CHIRAL GAUGE
• DUALITY SYMMETRY GROUP OF TWO DIMENSIONAL HETEROTIC STRING THEORY
• HIDDEN SYMMETRIES OF TWO DIMENSIONAL STRING EFFECTIVE ACTION
• Classical Duality Symmetries in Two Dimensions

Cited by in corpus (5)

• SYMMETRIES OF THE DIMENSIONALLY REDUCED STRING EFFECTIVE ACTION
• Colliding String Waves and Duality
• Duality and Integrability of Two Dimensional String Effective Action
• Gravitational dressing of massive soliton theories
• CP^{N-1} models and the Quantized 2D Black Holes