Free field realizations of affine current superalgebras, screening currents and primary fields
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In this paper free field realizations of affine current superalgebras are considered. Based on quantizing differential operator realizations of the corresponding basic Lie superalgebras, general and simple expressions for both the bosonic and the fermionic currents are provided. Screening currents of the first kind are also presented. Finally, explicit free field realizations of primary fields with general, possibly non-integer, weights are worked out. A formalism is used where the (generally infinite) multiplet is replaced by a generating function primary operator. The results allow setting up integral representations for correlators of primary fields corresponding to integrable representations. The results are generalizations to superalgebras of a recent work on free field realizations of affine current algebras by Petersen, Yu and the present author.
33 pages, LaTeX
- Niels Bohr Institute Denmark
- University of Queensland Australia
- University of Queensland Australia
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Physics, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Particles & Fields, FOS: Physical sciences, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Physics, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Particles & Fields, FOS: Physical sciences, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
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