Vertex Operators for Deformed Virasoro Algebra
Alexey A. Kadeishvili
TL;DR
This paper introduces vertex operators for the deformed Virasoro algebra, constructs their bosonic representation, and derives difference equations for the simplest operators, advancing the mathematical understanding of deformed algebraic structures.
Contribution
It provides the first explicit construction of vertex operators and their bosonic representation for the deformed Virasoro algebra, along with associated difference equations.
Findings
Vertex operators for the deformed Virasoro algebra are explicitly constructed.
A bosonic representation of these vertex operators is developed.
Difference equations for the simplest vertex operators are derived.
Abstract
Vertex operators for the deformed Virasoro algebra are defined, their bosonic representation is constructed and difference equation for the simplest vertex operators is described.
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