4 papers
Ricci flow of Integrable Sigma Models, Hitchin Systems and Quantum Seiberg-Witten theory
G. Bonelli, S. Lacroix, T. Pedroni +1
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 integ…
Split Heun functions via blown-up surface defects
Saebyeok Jeong, Tommaso Pedroni
We study resonant solutions of the Heun equation and its confluent limits that arise in the Nekrasov-Shatashvili (NS) limit of four-dimensional gau…
Eigenfunctions of deformed Schrödinger equations
Matijn François, Alba Grassi, Tommaso Pedroni
We study the spectral problems associated with the finite-difference operators , where is an arbitrary polynomial potential of degree . These…
Blowing-up the edge: connection formulae and stability chart of the Lamé equation
Giulio Bonelli, Pavlo Gavrylenko, Tommaso Pedroni +1
We study periodic spectral problems through their connection with supersymmetric gauge theories and two-dimensional conformal field theory. To characterize the associated stability…