A strong-weak duality for the 1d long-range Ising model

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• Edoardo Lauria (Mines Paris Tech)
• Friday 31 October 2025, 14:00-15:00
• Seminar Room 1, Newton Institute.

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BIDW02 - Diving Deeper into Defects: On the Intersection of Field Theory, Quantum Matter, and Mathematics

I will discuss the 1d Ising model with long-range interaction, decaying as 1/r^{1+s}. At long distances, the critical model corresponds to a family of 1d conformal field theories whose data depend nontrivially on s, in the range 1/2 ≤ s ≤ 1. The model is known to be described by a generalized free field with quartic interaction, which is weakly coupled near s = 1/2 but strongly coupled near the short-range crossover, at s = 1. I will introduce a dual description which becomes weakly coupled at s = 1, where the model becomes an exactly solvable conformal boundary condition for the 2d free scalar. We perform a number of consistency checks of our proposal and calculate the perturbative CFT data around s = 1 analytically using both 1) our proposed field theory and 2) the analytic conformal bootstrap. Our results show complete agreement between the two methods. Based on arXiv: 2412.12243, and arXiv: 2509.05250, in collaboration with D. Benedetti, D. Mazac, and P. van Vliet.

This talk is part of the Isaac Newton Institute Seminar Series series.

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