Model II universality conjecture for colored doodles

From papers

For 0n<20\le n<2, let c(n)c(n) denote the central charge associated with colored doodles. Model II universality conjecture. Colored doodles are in the universality class of models with spontaneously broken O(n)O(n) symmetry, so that

c(n)=n1.c(n)=n-1.

This is the second competing universality scenario for colored doodles, proposed alongside the dense non-crossing-loop model; neither scenario is asserted as proved in the source.

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Sources & referencesView supporting material

Primary source

Gilles Schaeffer and Paul Zinn-Justin, “On the Asymptotic Number of Plane Curves and Alternating Knots”, arXiv:math-ph/0304034 (2004).

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