Communications in Mathematical Physics

, Volume 103, Issue 1, pp 105–119

Unitary representations of the Virasoro and super-Virasoro algebras

Authors

  • P. Goddard
    • Department of Applied Mathematics and Theoretical PhysicsUniversity of Cambridge
  • A. Kent
    • Department of Applied Mathematics and Theoretical PhysicsUniversity of Cambridge
  • D. Olive
    • Blackett LaboratoryImperial College
Article

DOI: 10.1007/BF01464283

Cite this article as:
Goddard, P., Kent, A. & Olive, D. Commun.Math. Phys. (1986) 103: 105. doi:10.1007/BF01464283

Abstract

It is shown that a method previously given for constructing representations of the Virasoro algebra out of representations of affine Kac-Moody algebras yields the full discrete series of highest weight irreducible representations of the Virasoro algebra. The corresponding method for the super-Virasoro algebras (i.e. the Neveu-Schwarz and Ramond algebras) is described in detail and shown to yield the full discrete series of irreducible highest weight representations.

Copyright information

© Springer-Verlag 1986