Conformal Covariantization of Moyal-Lax Operators
Ming-Hsien Tu, Niann-Chern Lee, Yu-Tung Chen
TL;DR
This paper introduces a covariant framework for Moyal-Lax operators, linking conformal covariance with Gelfand-Dickey flows to construct primary fields in deformed $W$-algebras.
Contribution
It presents a novel covariantization method for Moyal-Lax operators, connecting conformal symmetry with integrable hierarchies to build deformed algebra structures.
Findings
Covariant Moyal-Lax operators constructed.
Primary fields of deformed $W$-algebras identified.
Conformal covariance linked to Gelfand-Dickey flows.
Abstract
A covariant approach to the conformal property associated with Moyal-Lax operators is given. By identifying the conformal covariance with the second Gelfand-Dickey flow, we covariantize Moyal-Lax operators to construct the primary fields of one-parameter deformation of classical -algebras.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Topics in Algebra · Spectral Theory in Mathematical Physics