Geometry of the spectral parameter and renormalisation of integrable sigma-models

• Published in: The journal of high energy physics Vol. 2024; no. 5; pp. 108 - 62
• Main Authors: Lacroix, Sylvain, Wallberg, Anders
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 09.05.2024; Springer Nature B.V; SpringerOpen
• Subjects: Algebra; Classical and Quantum Gravitation; Construction; Elementary Particles; Field theory (physics); Geometry; Integrable Field Theories; Mathematical models; Parameters; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Quantum theory; Regular Article - Theoretical Physics; Relativity Theory; Renormalization Group; Riemann surfaces; Sigma Models; String Theory; Renormalization Group; Sigma Models; Integrable Field Theories

A bstract In the past few years, the unifying frameworks of 4-dimensional Chern-Simons theory and affine Gaudin models have allowed for the systematic construction of a large family of integrable σ -models. These models depend on the data of a Riemann surface C (here of genus 0 or 1) and of a meromo...