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Remarks on higher Schwarzians

Anton Galajinsky
(
- Tomsk State U.
)

Feb 1, 2023

13 pages

Published in:

Phys.Lett.B 843 (2023) 138042

Published: Jun 22, 2023

e-Print:

2302.00317 [hep-th]

DOI:

10.1016/j.physletb.2023.138042 (publication)

View in:

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Abstract: (Elsevier B.V.)

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.

Note:

V2: 12 pages, minor improvements, the version submitted for publication

Higher Schwarzian derivatives
The
–conformal Galilei group
group: Galilei
symmetry: transformation
higher-order
Sachdev-Ye-Kitaev

References(24)

Figures(0)

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