Quasi-particles models for the representations of Lie algebras and geometry of flag manifold

Boris Feigin; A. V. Stoyanovsky

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arXiv · hep-th/9308079

Quasi-particles models for the representations of Lie algebras and geometry of flag manifold

Boris Feigin·A. V. Stoyanovsky

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Abstract

We give a new interpretation and proof of the "quasi-particle" type character formulas for integrable representations of the simply-laced affine Kac-Moody algebras through a new "semi-infinite" construction of such representations. We compare formulas of this kind to other formulas obtained using the geometry of the corresponding flag manifold and in particular give a new proof to the Gordon type identities.

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Boris Feigin, A. V. Stoyanovsky. 1993-08-17. Quasi-particles models for the representations of Lie algebras and geometry of flag manifold. https://arxiv.org/abs/hep-th/9308079

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