A representation theoretic approach to the WZW Verlinde formula

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dc.creatorFuchs, J.
dc.creatorSchweigert, C.
dc.date1997-07-07
dc.date1998-05-28
dc.date.accessioned2026-07-07T09:08:20Z
dc.date.available2026-07-07T09:08:20Z
dc.descriptionBy exploring the description of chiral blocks in terms of co-invariants, a derivation of the Verlinde formula for WZW models is obtained which is entirely based on the representation theory of affine Lie algebras. In contrast to existing proofs of the Verlinde formula, this approach works universally for all untwisted affine Lie algebras. As a by-product we obtain a homological interpretation of the Verlinde multiplicities as Euler characteristics of complexes built from invariant tensors of finite-dimensional simple Lie algebras. Our results can also be used to compute certain traces of automorphisms on the spaces of chiral blocks. Our argument is not rigorous; in its present form this paper will therefore not be submitted for publication.
dc.description37 pages, LaTeX2e. wrong statement in subsection 4.2 corrected and rest of the paper adapted
dc.identifierhttps://arxiv.org/abs/hep-th/9707069
dc.identifierhttp://arxiv.org/abs/hep-th/9707069
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150686
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.subjectQuantum Algebra
dc.titleA representation theoretic approach to the WZW Verlinde formula
dc.typetext

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