Affine sl(2|1) and D(2|1;alpha) as Vertex Operator Extensions of Dual Affine sl(2) Algebras

@inproceedings{Bowcock1999AffineSA,
  title={Affine sl(2|1) and D(2|1;alpha) as Vertex Operator Extensions of Dual Affine sl(2) Algebras},
  author={P. Bowcock and B. Feigin and A. M. Semikhatov and A. Taormina},
  year={1999}
}
  • P. Bowcock, B. Feigin, +1 author A. Taormina
  • Published 1999
  • Physics, Mathematics
  • We discover a realisation of the affine Lie superalgebra sl(2|1) and of the exceptional affine superalgebra D(2|1;alpha) as vertex operator extensions of two affine sl(2) algebras with dual levels (and an auxiliary level 1 sl(2) algebra). The duality relation between the levels is (k+1)(k'+1)=1. We construct the representation of sl(2|1) at level k' on a sum of tensor products of sl(2) at level k, sl(2) at level k' and sl(2) at level 1 modules and decompose it into a direct sum over the sl(2|1… CONTINUE READING
    1 Citations
    N = 4 Superconformal Algebras and Diagonal Cosets
    • 9
    • PDF