$gl(4|4)$ current algebra: free field realization and screening currents

Abstract

The $gl(4|4)$ current algebra at general level $k$ is investigated. Its free field representation and corresponding energy-momentum tensor are constructed. Seven screening currents of the first kind are also presented.

Latex file, 11 pages; V2, two references added

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Cited by in corpus (6)

• Free field realization of current superalgebra $gl(m|n{)}_k$
• Differential operator realizations of superalgebras and free field representations of corresponding current algebras
• On explicit free field realizations of current algebras
• Free field realization of the $osp(2n|2n)$ current algebra
• A Bosonization of $U_q(\widehat{sl}(M|N))$
• Free field realization of the exceptional current superalgebra $\hat{D(2,1;\a)}_k$