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