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arXiv · 2401.10532

On the origin of Higher Schwarzians

Sergey Krivonos
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Abstract

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 the Aharonov,Tamanoi and Bonora-Matone ones. A minor change of the coset space parametrization leads to a new set of SL(2,R) non-invariant higher Schwarzians now related to the Schippers and Bertilsson Schwarzians.

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Sergey Krivonos. 2024-01-19. On the origin of Higher Schwarzians. https://arxiv.org/abs/2401.10532

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