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Modular Invariance of Field Theories and String Compactifications

  • A. Shapere
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 47)

Abstract

There is a large class of Gaussian lattice models which are self-dual with respect to inversion of coupling constants. When a theta term is added, this duality may extend to an invariance under an action of an infinite discrete modular group on the coupling parameter space. In particular, 4-dimensional Abelian lattice gauge theories possess a Sp(2k, Z) modular symmetry, and string compactifications on d-dimensional tori are invariant under SO(16 + d, d; Z). We review these results and their applications, and discuss the classification of self-dual string compactifications.

Keywords

Gauge Theory Partition Function Modulus Space Fundamental Domain Heterotic String 
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 1990

Authors and Affiliations

  • A. Shapere
    • 1
  1. 1.The Institute for Advanced StudyPrincetonUSA

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