TL;DR
This paper develops Virasoro algebra operators for the Jones-Rosso matrix model, revealing relations between Wilson loops and exploring their behavior in the stability limit with illustrative examples.
Contribution
It introduces a Virasoro algebra framework for the matrix model of torus knots, providing new relations between Wilson loops and analyzing their stability limit behavior.
Findings
Virasoro operators generate relations between Wilson loops.
Relations are characterized in the stability limit.
Examples demonstrate the applicability of the constructed operators.
Abstract
We construct Virasoro algebra of differential operators for the Jones-Rosso matrix model. These operators generate various relations between Wilson loops. Then we discuss the con- structed operators and corresponding relations in the stability limit. A series of examples is given.
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