S. Lacroix — Neckpinchhttps://neckpinch.com/authors/s-lacroix/New arXiv papers by S. Lacroix, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT Ricci flow of Integrable Sigma Models, Hitchin Systems and Quantum Seiberg-Witten theoryhttps://neckpinch.com/papers/2610.31672/arxiv:2610.31672Thu, 22 Oct 2026 00:00:00 GMTG. Bonelli, S. Lacroix, T. Pedroni, A. Tanzini — We construct a family of integrable 2d sigma models through 4d Chern-Simons theory and show that their classical point-particle reduction corresponds to a Hitchin system. The integrable Hitchin quantisation then provides a natural candidate Hamiltonian for the one-loop reduced dynamics of the sigma models, which coincides with the Perelman operator in all cases examined. This allows us to study the corresponding spectral problems using 4d 𝓝=2 gauge theory and 2d conformal field theory methods. For the sausage model, we derive exact quantisation conditions and compute exponentially small corrections essential for the agreement with numerical finite-volume results.Ricci flow4-manifoldsEigenvalues & spectrumPhysicsNumerics & visualization