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 (14)

• Type IIB superstring action in AdS_5 x S^5 background
• Conformal Field Theory of AdS Background with Ramond-Ramond Flux
• Superstring Theory on AdS_2 x S^2 as a Coset Supermanifold
• gl(N|N) Super-Current Algebras for Disordered Dirac Fermions in Two Dimensions
• Two-dimensional conformal field theory for disordered systems at criticality
• The GL(1|1) WZW model: From Supergeometry to Logarithmic CFT
• Non-unitary Conformal Field Theory and Logarithmic Operators for Disordered Systems
• $PSL(n|n)$ Sigma Model as a Conformal Field Theory
• Superstrings on AdS_5 x S^5 supertwistor space
• The Exact S-Matrix for an osp(2|2) Disordered System
• Free Field Realizations of Affine Current Superalgebras, Screening Currents and Primary Fields
• $gl(2|2)$ Current Superalgebra and Non-unitary Conformal Field Theory
• Primary fields and screening currents of gl(2|2) non-unitary conformal field theory
• $gl(4|4)$ current algebra: free field realization and screening currents

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• Free field realization of the exceptional current superalgebra $\hat{D(2,1;\a)}_k$
• Knots in $SU\left(M|N\right)$ Chern-Simons Field Theory