Some aspects of free field resolutions in 2D CFT with application to the quantum Drinfeld-Sokolov reduction

Autor:	Bouwknegt, Peter, McCarthy, James G., Pilch, Krzysztof
Jazyk:	angličtina
Rok vydání:	1991
Předmět:	High Energy Physics - Theory High Energy Physics - Theory (hep-th) Mathematics::Quantum Algebra FOS: Physical sciences General Theoretical Physics Particle Physics - Theory
Popis:	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. 15 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc96b32a51f64ff279404274d02f27e4 http://arxiv.org/abs/hep-th/9110007 Zobrazit plný text záznamu