Infinite degenerate states and Hawking flux quantization of two-dimensional black hole

We further investigate the exactly solvable quantum corrected two-dimensional dilaton-gravity theories. For a fixed choice of boundary conditions, there exist the infinite symmetries on the equations of motion and the constraint equations in such a theory. The generators of these symmetries obey the relations of W-infinity algebra. They can be used to generate infinite degenerate states of-two-dimensional black hole. The existence of the infinite static and non-static solutions results in quantization of the Hawking Aux in the procedure of black hole evaporation.