In this paper we analyze higher Schwarzians and show that they are closely related to the nonlinear realization of the Virasoro algebra. The Goldstone fields of such a realization provide a new set of SL(2,R) invariant higher Schwarzians that are deeply related to those of Aharonov [], Tamanoi [], and Bonora-Matone [; ; ]. A minor change of the coset space parametrization leads to a new set of SL(2,R) noninvariant higher Schwarzians now related to the Schippers [] and Bertilsson [] Schwarzians.
Published by the American Physical Society
2024