Remarks on higher Schwarzians
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Publication:6173407
DOI10.1016/J.PHYSLETB.2023.138042zbMATH Open1529.83055arXiv2302.00317MaRDI QIDQ6173407
Author name not available (Why is that?)
Publication date: 21 July 2023
Published in: (Search for Journal in Brave)
Abstract: The Schwarzian derivative has recently received renewed attention in connection with the study of the Sachdev-Ye-Kitaev model. In mathematics literature, various higher order generalizations of the Schwarzian derivative are known due to Aharonov, Bertilsson, and Schippers. Physical applications of the higher Schwarzian derivatives have not yet been discussed in any detail. In this work, we link Bertilsson's variant to the l-conformal Galilei group, as well as discuss some of its interesting peculiarities. These include a recurrence relation, which allows one to construct the higher Schwarzians iteratively, a composition law, and symmetry transformations.
Full work available at URL: https://arxiv.org/abs/2302.00317
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