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Communications in Mathematical Physics

, Volume 180, Issue 3, pp 671–707 | Cite as

Simple currents and extensions of vertex operator algebras

  • Chongying Dong
  • Haisheng Li
  • Geoffrey Mason
Article

Abstract

We consider how a vertex operator algebra can be extended to an abelian interwining algebra by a family of weak twisted modules which aresimple currents associated with semisimple weight one primary vectors. In the case that the extension is again a vertex operator algebra, the rationality of the extended algebra is discussed. These results are applied to affine Kac-Moody algebras in order to construct all the simple currents explicitly (except forE8) and to get various extensions of the vertex operator algebras associated with integrable representations.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Integrable Representation 
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 1996

Authors and Affiliations

  • Chongying Dong
    • 1
  • Haisheng Li
    • 1
  • Geoffrey Mason
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaSanta CruzUSA

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