Free field realization of the $osp(2n|2n)$ current algebra
Wen-Li Yang, Yao-Zhong Zhang
TL;DR
This paper constructs a free field representation and energy-momentum tensor for the $osp(2n|2n)$ current algebra at general level $k$, including screening currents, advancing understanding of its algebraic structure.
Contribution
It provides the first explicit free field realization and energy-momentum tensor for the $osp(2n|2n)$ current algebra at arbitrary level $k$, along with screening currents.
Findings
Explicit free field realization of $osp(2n|2n)$ current algebra
Construction of the associated energy-momentum tensor
Presentation of screening currents of the first kind
Abstract
The current algebra for a {\it generic} positive integer at general level is investigated. Its free field representation and corresponding energy-momentum tensor are constructed. The associated screening currents of the first kind are also presented.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Quantum Information and Cryptography · Quantum Computing Algorithms and Architecture