Free field realization of current superalgebra gl(m∣n)k

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Free Field Realization of Current Superalgebra Gl(m|n) K

We construct the free field representation of the affine currents, energy-momentum tensor and screening currents of the first kind of the current superalgebra gl(m|n)k uniformly for m = n and m 6= n. The energy-momentum tensor is given by a linear combination of two Sugawara tensors associated with the two independent quadratic Casimir elements of gl(m|n). PACS: 11.25.Hf; 02.20.Tw

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ژورنال

عنوان ژورنال: Journal of Mathematical Physics

سال: 2007

ISSN: 0022-2488,1089-7658

DOI: 10.1063/1.2739306