Color symmetry breaking in the Potts spin glass

Jean-Christophe Mourrat

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arXiv · 2409.10437

Color symmetry breaking in the Potts spin glass

Jean-Christophe Mourrat

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Abstract

The Potts spin glass is an analogue of the Sherrington-Kirkpatrick model in which each spin can take one of $κ$ possible values, which we interpret as colors. It was suggested in arXiv:2310.06745 that the order parameter for this model is always invariant with respect to permutations of the colors. We show here that this is false whenever $κ\ge 58$.

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Jean-Christophe Mourrat. 2025-03-11. Color symmetry breaking in the Potts spin glass. https://arxiv.org/abs/2409.10437

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