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

Physics – High Energy Physics – High Energy Physics - Theory

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LaTex file 11 pages

Scientific paper

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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