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

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.

• Speaker: Scott Mason (Cambridge)
• Tuesday 27 February 2024, 14:00–15:00
• Venue: MR12.
• Series: Probability; organiser: Jason Miller.