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Sewing Polyakov amplitudes I: Sewing at a fixed conformal structure

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Abstract

We consider the problem of reconstructing the correlation functions of a conformal field theory on a surface Σ from the correlation functions on a surface Σ′ obtained from Σ by cutting along a closed curve. We show that under quite general conditions, the correlation functions on the cut surface can be “sewn” by integrating over appropriate boundary valuess of the field.

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Authors and Affiliations

  1. Institute for Advanced Study, 08540, Princeton, NJ, USA

    Steven Carlip & Stephen DellaPietra

  2. University of Washington, 98195, Seattle, WA, USA

    Minot Clements

  3. IBM Watson Research Center, 10598, Yorktown Heighits, NY, USA

    Stephen DellaPietra & Vincent DellaaPietra

Authors
  1. Steven Carlip
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  2. Minot Clements
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  3. Stephen DellaPietra
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  4. Vincent DellaaPietra
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Additional information

Communicated by L. Alvarez-Gaumé

Supported in part by DOE grant DE-AC02-76ERO2220

Supported in part by DOE grant DE-AS06-88ER40423

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Carlip, S., Clements, M., DellaPietra, S. et al. Sewing Polyakov amplitudes I: Sewing at a fixed conformal structure. Commun.Math. Phys. 127, 253–271 (1990). https://doi.org/10.1007/BF02096756

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  • DOI: https://doi.org/10.1007/BF02096756

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