Jackiw-Teitelboim Gravity Generates Horndeski via Disformal Transformations

We show that the most general two-dimensional dilaton gravity theory with second-order field equations, which includes Horndeski and Kinetic Gravity Braiding families, may be obtained from the Jackiw-Teitelboim (JT) gravity through a general disformal transformation, up to boundary terms. This map does not change the degrees of freedom if the invertible transformation is applied. We also show that this most general family of theories is closed under generic disformal transformations.