N=4 super-Schwarzian via nonlinear realizations

Abstract

Current studies of supersymmetric extensions of the Sachdev-Ye-Kitaev model stimulate a renewed interest in super-Schwarzian derivatives. In this work, we apply the method of nonlinear realizations to the finite-dimensional superconformal group SU(1,1|2) and link its invariants to the N=4 super-Schwarzian.

V2: minor improvements; the version to appear in PRD

References in corpus (4)

• The double scaled limit of Super--Symmetric SYK models
• Schwarzian mechanics via nonlinear realizations
• On the projective geometry of the supercircle: a unified construction of the super cross-ratio and Schwarzian derivative
• Super-Schwarzians via nonlinear realizations

Cited by in corpus (7)

• The statistical mechanics of near-BPS black holes
• $T\overline{T}$ Deformations of Supersymmetric Quantum Mechanics
• (super)Schwarzian mechanics
• N=3 super-Schwarzian from OSp(3|2) invariants
• Remarks on D(2,1;a) super-Schwarzian derivative
• $\mathcal{N}=4$ supersymmetric Schwarzian with $D(1,2;\alpha )$ symmetry
• Generalized Schwarzians