Coinvariants of nilpotent subalgebras of the Virasoro algebra and partition identities

Physics – High Energy Physics – High Energy Physics - Theory

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9 pages, amslatex; for non-amslatex users the .dvi file is available via anonymous ftp from math.harvard.edu/pub:coinv.dvi

Scientific paper

We prove that the dimensions of coinvariants of certain nilpotent subalgebras
of the Virasoro algebra do not change under deformation in the case of
irreducible representations of (2,2r+1) minimal models. We derive a
combinatorial description of these representations and the Gordon identities
from this result.

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