F. Brandt et al., BACKGROUND CHARGES AND CONSISTENT CONTINUOUS DEFORMATIONS OF 2D GRAVITY THEORIES, Physics letters. Section B, 374(1-3), 1996, pp. 31-36
We discuss all background charges and continuous consistent deformatio
ns of standard 2d gravity theories with scalar matter fields. The back
ground charges and those deformations which change nontrivially the ga
uge symmetries are closely linked, and exist only if the target space
has a covariantly constant Killing vector (a null vector for the defor
mations). The deformed actions provide interesting novel 2d gravity mo
dels. Some of them lead to non-critical string theories.