Free Field Realization of Quantum Affine Superalgebra $U_q(\hat{{sl}}(N|1))$
Takeo Kojima
TL;DR
This paper constructs a free field realization of the quantum affine superalgebra $U_q(\hat{sl}(N|1))$ for any complex level, providing a new algebraic framework for understanding these structures.
Contribution
It introduces a novel free field realization for the quantum affine superalgebra $U_q(\hat{sl}(N|1))$ applicable at arbitrary levels.
Findings
Provides explicit free field realization formulas
Applicable to any complex level $k$
Enhances algebraic understanding of quantum affine superalgebras
Abstract
We construct a free field realization of the quantum affine superalgebra for an arbitrary level .
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