Generalized two-dimensional dilaton gravity with matter fields

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Abstract
We extend the classical integrability of the CGHS model of two-dimensional (2D) gravity (Callan et al 1992 Phys. Rev. D 45 R1005) to a larger class of models, allowing the gravitational part of the action to depend more generally on the dilaton field and, simultaneously, adding fermion and ) gauge fields to the scalar matter. On the other hand, we provide the complete solution of the most general dilaton-dependent 2D gravity action coupled to chiral fermions. The latter analysis is generalized to a chiral fermion multiplet with a non-Abelian gauge symmetry as well as to the (anti-)self-dual sector of a scalar field f.

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