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


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.


Operator Product Expansion Linear Span Central Extension Jacobi Identity Conformal Weight 
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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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