Topologizations of Chiral Representations

Christoph Schweigert (Paris U.; Florian Conrady (Heidelberg U. & Potsdam; Max Planck Inst.); Tech. Hochschul.); VI-VII & Aachen

arxiv: hep-th/0210215 · v2 · submitted 2002-10-22 · ✦ hep-th · math-ph· math.FA· math.MP

Topologizations of Chiral Representations

Florian Conrady (Heidelberg U. & Potsdam , Max Planck Inst.) , Christoph Schweigert (Paris U. , VI-VII & Aachen , Tech. Hochschul.) This is my paper

classification ✦ hep-th math-phmath.FAmath.MP

keywords chiralgaberdielgoddardhuangtopologyalgebrasanalyzebeen

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We analyze and compare two families of topologies that have been proposed for representation spaces of chiral algebras by Huang and Gaberdiel & Goddard respectively. We show, in particular, that for suitable pairs the topology of Gaberdiel & Goddard is coarser. We also give a new proof that the chiral two-point blocks are continuous in the topology of Huang.

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Topologizations of Chiral Representations

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