Free Field Representation of Quantum Affine Algebra U_q(\hat{sl}_2)
A. Matsuo
TL;DR
This paper constructs a Fock representation of the quantum affine algebra U_q(\hat{sl}_2) using three bosonic fields based on Drinfeld's realization, applicable at any level.
Contribution
It introduces a new bosonic Fock representation for U_q(\hat{sl}_2) that generalizes previous models to arbitrary levels using Drinfeld's approach.
Findings
Explicit construction of the Fock representation
Representation valid for any level
Utilizes three bosonic fields
Abstract
A Fock representation of the quantum affine algebra is constructed by three bosonic fields for an arbitrary level with the help of the Drinfeld realization.
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