Free field realization of current superalgebra $gl(m|n{)}_k$

Abstract

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 $m\ne n$. The energy-momentum tensor is given by a linear combination of two Sugawara tensors associated with the two independent quadratic Casimir elements of $gl(m|n)$.

Latex file, 15 pages

References in corpus (1)

• $gl(4|4)$ current algebra: free field realization and screening currents

Cited by in corpus (1)

• On explicit free field realizations of current algebras