Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1991-10-02
Physics
High Energy Physics
High Energy Physics - Theory
15 pages
Scientific paper
We review some aspects of the free field approach to two-dimensional conformal field theories. Specifically, we discuss the construction of free field resolutions for the integrable highest weight modules of untwisted affine Kac-Moody algebras, and extend the construction to a certain class of admissible highest weight modules. Using these, we construct resolutions of the completely degenerate highest weight modules of W-algebras by means of the quantum Drinfeld-Sokolov reduction. As a corollary we derive character formulae for these degenerate highest weight modules.
Bouwknegt Peter
McCarthy J. J.
Pilch Krzysztof
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