Aspects of q-discretized Nahm equations

Masaru Kamata and Atsushi Nakamula

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 80, issue 4, 674-681

Abstract: There is a conjecture by Ward that almost all of integrable equations are derived from (anti-)self-dual (ASD) Yang–Mills equations. This conjecture is supported by many concrete examples, e.g., the Nahm equations. In this work, we consider a situation that if the ASD conditions are slightly loosened, as to how it affects the integrability of the equations. For this purpose, we consider a q-analog of the Nahm equations, as a non-ASD system. The analysis is performed on the reduced system which is a q-analog of the Euler–Arnold top, by the singularity confinement test and the estimation of the algebraic entropy.

Keywords: Discrete map; Singularity confinement; Algebraic entropy (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2009:i:4:p:674-681

DOI: 10.1016/j.matcom.2009.08.019

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