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arXiv · hep-th/9507072

Polynomial Identities, Indices, and Duality for the N=1 Superconformal Model SM(2,4ν)

Alexander Berkovich·Barry M. McCoy·William P. Orrick
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Abstract

We prove polynomial identities for the N=1 superconformal model SM(2,4ν) which generalize and extend the known Fermi/Bose character identities. Our proof uses the q-trinomial coefficients of Andrews and Baxter on the bosonic side and a recently introduced very general method of producing recursion relations for q-series on the fermionic side. We use these polynomials to demonstrate a dual relation under q \rightarrow q^{-1} between SM(2,4ν) and M(2ν-1,4ν). We also introduce a generalization of the Witten index which is expressible in terms of the Rogers false theta functions.

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Alexander Berkovich, Barry M. McCoy, William P. Orrick. 1995-07-30. Polynomial Identities, Indices, and Duality for the N=1 Superconformal Model SM(2,4ν). https://doi.org/10.1007/bf02179546

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