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D-Brane Conformal Field Theory and Bundles of Conformal Blocks

  • Conference paper
European Congress of Mathematics

Part of the book series: Progress in Mathematics ((PM,volume 202))

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Abstract

Conformal blocks form a system of vector bundles over the moduli space of complex curves with marked points. We discuss various aspects of these bundles. In particular, we present conjectures about the dimensions of sub-bundles. They imply a Verlinde formula for non-simple connected groups like PGL(n, C).

We then explain how conformal blocks enter in the construction of conformal field theories on surfaces with boundaries. Such surfaces naturally appear in the conformal field theory description of string propagation in the background of a D-brane. In this context, the sub-bundle structure of the conformal blocks controls the structure of symmetry breaking boundary conditions.

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Author information

Authors and Affiliations

  1. Lpthe, Université Paris 6, 4, Place Jussieu, Paris Cedex 05, F-75 252, France

    Christoph Schweigert

  2. Institutionen För Fysik, Karlstads Universitet, Universitetsgatan 1, Karlstad, S-65188, Sweden

    Jürgen Fuchs

Authors
  1. Christoph Schweigert
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  2. Jürgen Fuchs
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Editor information

Editors and Affiliations

  1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193, Bellaterra, Spain

    Carles Casacuberta  & Joan Verdera  & 

  2. Departament d’Algebra i Geometria Facultat de Matemàtiques, Universitat de Barcelona, 08007, Barcelona, Spain

    Rosa Maria Miró-Roig

  3. Departament de Matemàtica Aplicada II, Universitat Politècnica de Catalunya, 08028, Barcelona, Spain

    Sebastià Xambó-Descamps

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© 2001 Springer Basel AG

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Schweigert, C., Fuchs, J. (2001). D-Brane Conformal Field Theory and Bundles of Conformal Blocks. In: Casacuberta, C., Miró-Roig, R.M., Verdera, J., Xambó-Descamps, S. (eds) European Congress of Mathematics. Progress in Mathematics, vol 202. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8266-8_42

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  • DOI: https://doi.org/10.1007/978-3-0348-8266-8_42

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9496-8

  • Online ISBN: 978-3-0348-8266-8

  • eBook Packages: Springer Book Archive

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