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arXiv 2012-10-05 DOI 10.1088/1751-8113/46/16/165201 0 views

A Proof of the KNS conjecture: Dᵣ case

Lee, Chul-hee

Original · EN

We prove the Kuniba-Nakanishi-Suzuki (KNS) conjecture concerning the quantum dimension solution of the Q-system of type Dᵣ obtained by a certain specialization of classical characters of the Kirillov-Reshetikhin modules. To this end, we use various symmetries of quantum dimensions. As a result, we obtain an explicit formula for the positive solution of the level k restricted Q-system of type Dᵣ which plays an important role in dilogarithm identities for conformal field theories.

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