Speaker
Tommaso Pedroni
(SISSA, Trieste)
Description
The sausage model is a two-dimensional integrable deformation of the O(3) sigma model introduced by Fateev, Onofri and Zamolodchikov. In this talk I will explain how we can gain analytic access to the finite-size energy spectrum in the one-loop minisuperspace approximation using recently developed methods for Lamé and Heun equations, based on their relations to four-dimensional supersymmetric gauge theories and two-dimensional conformal field theories. In particular, this leads to explicit expressions for the energy levels near the two ends of the renormalization-group flow, and to quantitative control of the spectrum in the intermediate regime.
Based on work in progress with G. Bonelli, S. Lacroix and A. Tanzini.