Generalized Schwarzians
Nikolay Kozyrev, Sergey Krivonos
TL;DR
This paper shows how various generalizations of the Schwarzian derivative, including supersymmetric and bosonic versions, can be systematically constructed using the nonlinear realizations technique.
Contribution
It introduces a unified method to construct different generalized Schwarzians through nonlinear realizations.
Findings
Constructed supersymmetric Schwarzians using the proposed method.
Unified approach simplifies the derivation of various Schwarzians.
Potential applications in theoretical physics and geometry.
Abstract
In this paper we demonstrate that the different generalizations of the Schwarzians, supersymmetric or purely bosonic, can be easily constructed by using the nonlinear realizations technique.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Mechanical and Optical Resonators