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Nuclear Physics, Section B
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Duality relations and equivalences for models with O(N) and cubic symmetry

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Abstract

Formal expression for high-temperature series are derived for models with O(N) and cubic symmetry, with a special form of nearest neighbor interactions on the honeycomb lattice. By deriving low-temperature series for a class of generalized solid-on-solid and cubic models, a duality relation is established. Equivalences between cubic and SOS type models are also found. In the large-N limit, the series reduce to those of the hard hexagon model. © 1981.

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Nuclear Physics, Section B

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