$gl(4|4)$ current algebra: free field realization and screening currents
Wen-Li Yang, Yao-Zhong Zhang, Xin Liu
TL;DR
This paper constructs a free field realization and screening currents for the $gl(4|4)$ current algebra at arbitrary level, advancing understanding of its structure and representations.
Contribution
It provides the first explicit free field representation and screening currents for the $gl(4|4)$ current algebra at general level.
Findings
Explicit free field realization of $gl(4|4)$ current algebra
Construction of the energy-momentum tensor
Seven screening currents of the first kind
Abstract
The current algebra at general level is investigated. Its free field representation and corresponding energy-momentum tensor are constructed. Seven screening currents of the first kind are also presented.
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