(super)Schwarzian mechanics

Abstract

In this paper we revisit the construction of supersymmetric Schwarzians using nonlinear realizations. We show that $\mathcal{N}=0,1,2,3,4$ supersymmetric Schwarzians can be systematically obtained as certain projections of Maurer-Cartan forms of superconformal groups after imposing simple conditions on them. We also present the supersymmetric Schwarzian actions defined as the integrals of products of Cartan forms. In contrast with the previous attempts to obtain the super-Schwarzians within nonlinear realizations technique, our set of constraints does not impose any restriction on the super-Schwarzians.

arXiv comment26 pages, 0 figures, typeset in JHEP style; v3: version accepted by JHEP

References in corpus (8)

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• Solving the Schwarzian via the Conformal Bootstrap
• Non-relativistic and Carrollian limits of Jackiw-Teitelboim gravity
• Schwarzian mechanics via nonlinear realizations
• N=4 super-Schwarzian via nonlinear realizations
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Cited by in corpus (4)

• Carrollian and Non-relativistic Jackiw-Teitelboim Supergravity
• $T\overline{T}$ Deformations of Supersymmetric Quantum Mechanics
• $\mathcal{N}=4$ supersymmetric Schwarzian with $D(1,2;\alpha )$ symmetry
• Generalized Schwarzians