Two-periodic weighted dominos and the sine-Gordon field at the free fermion point

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• Scott Mason (Cambridge)
• Tuesday 27 February 2024, 14:00-15:00
• MR12.

If you have a question about this talk, please contact Jason Miller.

The connection between the Gaussian free field and dimer models is well-known. Under a certain pullback, the Gaussian free field describes the fluctuations of the height function around its limit shape in the rough phase of the dimer model. Recently, there has been an increase in interest in non-conformal perturbations of lattice models at criticality. In the dimer model, this corresponds to the study of the height field at a rough-smooth transition. Renormalisation group heuristics lead to the belief that the continuum field at this transition was described by a massive Gaussian free field. However, this is not the case. Indeed, we develop a connection between the height field at this transition and the sine-Gordon field at the free fermion point.

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