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Modular Invariance

  • Malte Henkel
Chapter
  • 531 Downloads
Part of the Texts and Monographs in Physics book series (TMP)

Abstract

The result (10.46) for the operator content of the 2D Ising model raises a question: in principle, having three irreducible representations of the Virasoro algebra for m = 3, one could combine in 9 possible ways the holomorphic and antiholomorphic parts to obtain the primary operators. However, just the 5 found can be realized. A part of the explanation comes from the locality requirement for the correlation functions discussed in Chaps. 5–7. A finer explanation for this selection comes from the requirement of modular invariance for the partition function. The presentation follows the work of Cardy [137, 138, G14].

Keywords

Partition Function Central Charge Vertex Operator Discrete Symmetry Modular Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Malte Henkel
    • 1
  1. 1.Laboratoire de Physique des Matériaux CNRS-UMR 7556Université Henri Poincaré Nancy IVandœuvre lès NancyFrance

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