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Topologizations of Chiral Representations

arXiv:hep-th/0210215 · doi:10.1007/s00220-003-1034-y

Abstract

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.

24pp, section on open questions added