supersymmetric Schwarzian with symmetry
Nikolay Kozyrev (Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Russia); Sergey Krivonos (Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Russia)
It was recently demonstrated that super-Schwarzian derivatives can be constructed from the Cartan forms of the superconformal supergroups , , , . Roughly speaking, the super-Schwarzian is just the component of the corresponding Cartan forms with the lowest dimension. In this paper, we apply the same approach to superalgebra . The minimal set of constraints we used includes: (a) introducing new superspace coordinates the Cartan forms depend on, which are completely invariant with respect to the corresponding group; (b) nullifying the form for dilatation. In contrast to the case, the new super-Schwarzian appears to be a component of the form for automorphism.