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Coulomb-Gas Construction on Higher-Genus Riemann Surfaces

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Differential Geometric Methods in Theoretical Physics

Part of the book series: NATO ASI Series ((NSSB,volume 245))

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Abstract

The Coulomb-gas construction provides a powerful tool for computing correlation functions in the minimal series of two-dimensional conformai field theories. The basic idea is to replace the irreducible highest-weight representations of the Virasoro algebra with the simpler Fock space of a free scalar field. It has been known for some time [1] that on such Fock spaces one can construct representations of the Virasoro algebra with arbitrary central charge.

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Author information

Authors and Affiliations

  1. Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts, 02138, USA

    Jonathan Bagger & Mark Goulian

Authors
  1. Jonathan Bagger
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  2. Mark Goulian
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Editor information

Editors and Affiliations

  1. University of California, Davis, Davis, California, USA

    Ling-Lie Chau  & Werner Nahm  & 

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Bagger, J., Goulian, M. (1990). Coulomb-Gas Construction on Higher-Genus Riemann Surfaces. In: Chau, LL., Nahm, W. (eds) Differential Geometric Methods in Theoretical Physics. NATO ASI Series, vol 245. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-9148-7_20

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  • DOI: https://doi.org/10.1007/978-1-4684-9148-7_20

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-9150-0

  • Online ISBN: 978-1-4684-9148-7

  • eBook Packages: Springer Book Archive

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