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Communications in Mathematical Physics

, Volume 186, Issue 1, pp 219–231 | Cite as

A newN= 6 superconformal algebra

  • Shun-Jen ChengEmail author
  • Victor G. KacEmail author
Article

Abstract

In this paper we construct a newN = 6 superconformal algebra which extends the Virasoro algebra by theSO 6 current algebra, by 6 odd primary fields of conformal weight 3/2 and by 10 odd primary fields of conformal weight 1/2. The commutation relations of this algebra, which we will refer to asCK 6, are represented by short distance operator product expansions (OPE). We constructCK 6, as a subalgebra of theSO(6) superconformal algebra K6, thus giving it a natural representation as first order differential operators on the circle withN = 6 extended symmetry. We show thatCK 6 has no nontrivial central extensions.

Keywords

Operator Product Expansion Linear Span Central Extension Jacobi Identity Conformal Weight 
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 1997

Authors and Affiliations

  1. 1.Department of MathematicsNational Cheng-Kung UniversityTainanTaiwan
  2. 2.Department of MathematicsMITCambridgeUSA

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