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Massive holomorphicity in near-critical dimers and the Sine Gordon model

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  • UserNathanael Berestycki (University of Vienna) Speaker website
  • ClockTuesday 17 March 2026, 14:00-15:00
  • HouseMR12.

If you have a question about this talk, please contact Perla Sousi .

We consider the near-critical dimer model on isoradial graphs, with Temperleyan boundary conditions. We show that the centered height function converges as the mesh size tends to zero to a limiting field which agrees with the (electromagnetically tilted) sine-Gordon model at the free fermion point. This answers a longstanding question in the field. A crucial part of the work is to develop a notion of massive holomorphicity both in the continuum and at the discrete level.

This talk is part of the Probability series.

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