Communications in Mathematical Physics

, Volume 127, Issue 2, pp 253–271 | Cite as

Sewing Polyakov amplitudes I: Sewing at a fixed conformal structure

  • Steven Carlip
  • Minot Clements
  • Stephen DellaPietra
  • Vincent DellaaPietra


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.


Neural Network Statistical Physic Field Theory Correlation Function Complex System 
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Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Steven Carlip
    • 1
  • Minot Clements
    • 2
  • Stephen DellaPietra
    • 1
    • 3
  • Vincent DellaaPietra
    • 3
  1. 1.Institute for Advanced StudyPrincetonUSA
  2. 2.University of WashingtonSeattleUSA
  3. 3.IBM Watson Research CenterYorktown HeighitsUSA

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