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Topologizations of Chiral Representations

High Energy Physics - Theory 2009-11-07 v2 Mathematical Physics Functional Analysis math.MP

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.

Keywords

Cite

@article{arxiv.hep-th/0210215,
  title  = {Topologizations of Chiral Representations},
  author = {Florian Conrady and Christoph Schweigert},
  journal= {arXiv preprint arXiv:hep-th/0210215},
  year   = {2009}
}

Comments

24pp, section on open questions added