Communications in Mathematical Physics

, Volume 138, Issue 1, pp 63–105 | Cite as

Graph theory,SO(n) current algebra and the Virasoro master equation

  • M. B. Halpern
  • N. A. Obers
Article

Abstract

We announce an isomorphism between a set of generically irrational affine-Virasoro constructions onSO(n) and the unlabelled graphs of ordern. On the one hand, the conformal constructions are classified by the graphs, while, conversely, a group-theoretic and conformal field-theoretic identification is obtained for every graph of graph theory. High-level expansion provides a strong argument that each construction is unitary down to some finite critical level.

Keywords

Neural Network Statistical Physic Complex System Graph Theory Nonlinear Dynamics 

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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • M. B. Halpern
    • 1
    • 2
  • N. A. Obers
    • 1
    • 2
  1. 1.Department of PhysicsUniversity of CaliforniaBerkeleyUSA
  2. 2.Theoretical Physics Group, Physics DivisionLawrence Berkeley LaboratoryBerkeleyUSA

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