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arXiv · hep-th/0212077

$gl(2|2)$ Current Superalgebra and Non-unitary Conformal Field Theory

Xiang-Mao Ding·Mark D. Gould·Yao-Zhong Zhang
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Abstract

Motivated by application of current superalgebras in the study of disordered systems such as the random XY and Dirac models, we investigate $gl(2|2)$ current superalgebra at general level $k$. We construct its free field representation and corresponding Sugawara energy-momentum tensor in the non-standard basis. Three screen currents of the first kind are also presented.

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Xiang-Mao Ding, Mark D. Gould, Yao-Zhong Zhang. 2002-12-09. $gl(2|2)$ Current Superalgebra and Non-unitary Conformal Field Theory. https://doi.org/10.1016/j.physleta.2003.08.034

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