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arXiv · hep-th/9312043

The Many Faces of a Character

Ezer Melzer
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Abstract

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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Ezer Melzer. 1993-12-06. The Many Faces of a Character. https://doi.org/10.1007/bf00761715

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