The Many Faces of a Character

Details The Many Faces of a Character The Many Faces of a Character

1993-12-06

arxiv.org/abs/hep-th/9312043v1

Lett.Math.Phys. 31 (1994) 233-246

Physics

High Energy Physics

High Energy Physics - Theory

14/9 pages in harvmac, Tel-Aviv preprint TAUP 2125-93

Scientific paper

10.1007/BF00761715

We prove an identity between three infinite families of polynomials which are defined in terms of `bosonic', `fermionic', and `one-dimensional configuration' sums. In the limit where the polynomials become infinite series, they give different-looking expressions for the characters of the two integrable representations of the affine $su(2)$ algebra at level one. We conjecture yet another fermionic sum representation for the polynomials which is constructed directly from the Bethe-Ansatz solution of the Heisenberg spin chain.

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