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Modular invariants for affine SU(3) theories at prime heights

Ruelle, Philippe;Thiran, E.;Weyers, Jacques
(1990) Communications in Mathematical Physics — Vol. 133, p. 305-322 (1990)

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(en) A proof is given for the existence of two and only two modular invariant partition functions in affine S~O(3)k theories at heights n = k + 3 which are prime numbers. Arithmetic properties of the ring of algebraic integers Z(a~) which is related to SU(3) weights are extensively used.
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Ruelle, P., Thiran, E., & Weyers, J. (1990). Modular invariants for affine SU(3) theories at prime heights. Communications in Mathematical Physics, 133, 305-322. https://doi.org/10.1007/BF02097369 (Original work published 1990)