N=3-extended Supersymmetric Schwarzian and Liouville Theories

Abstract

N=3 super-Schwarzian and N=(3,0) super-Liouville theories are formulated by the coadjoint orbit method. We study the coadjoint orbit dependence of the respective theories, represented by a superfield b. We show that it is renormalized into the N=3 super-Schwarzian derivative when the b field takes an appropriate configuration at the initial point of the orbit. Then the renormalized actions of the respective theories are invariant under OSp(2$|$3) transformations. If the configuration gets further specified, the initial point of the orbit turns out to be stable under one other kind of OSp(2$|$3) transformations as well.

25 pages,v2: published version, streamlined argument on the Kirillov-Kostant two-form by reorganizing Secs 3, 6 and Appendix B, added evaluation of the N=3 super-Schwarzian theory at the stable point in Sec. 5 and comment on the Duistermaat-Heckman formula in Sec. 7, improved Appendix C

References in corpus (2)

• N=(4,0) Super-Liouville Theory on the Coadjoint Orbit and PSU(1,1|2)
• N=4 Super-Schwarzian Theory on the Coadoint Orbit and PSU(1,1|2)