Model II universality conjecture for colored doodles

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For 0≤n<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)=n−1.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.

References

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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