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Topologizations of Chiral Representations

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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.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120, Heidelberg, Germany

    Florian Conrady

  2. Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, 14476, golm, Germany

    Florian Conrady

  3. LPTHE, Université Paris VI, 4 place Jussieu, 75252, Paris Cedex 05, France

    Christoph Schweigert

  4. Institut für Theoretische Physik, RWTH Aachen, Sommerfeldstrasse 28, 52074, Aachen, Germany

    Christoph Schweigert

Authors
  1. Florian Conrady
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  2. Christoph Schweigert
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Correspondence to Christoph Schweigert.

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Communicated by R.H. Dijkgraaf

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Conrady, F., Schweigert, C. Topologizations of Chiral Representations. Commun. Math. Phys. 245, 429–448 (2004). https://doi.org/10.1007/s00220-003-1034-y

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  • DOI: https://doi.org/10.1007/s00220-003-1034-y

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