English

Yang-Mills theory from the worldsheet

High Energy Physics - Theory 2018-10-31 v1

Abstract

We give a new description of classical Yang-Mills theory by coupling a two-dimensional chiral CFT (which gives the tree-level S-matrix of Yang-Mills theory at genus zero) to a background non-abelian gauge field. The resulting model is solvable, and when the gravitational degrees of freedom are decoupled the non-linear Yang-Mills equations are imposed as an exact worldsheet anomaly cancellation condition. When gravitational modes are reinstated, we find gauge anomalies analogous to those appearing in heterotic string theory.

Keywords

Cite

@article{arxiv.1807.09171,
  title  = {Yang-Mills theory from the worldsheet},
  author = {Tim Adamo and Eduardo Casali and Stefan Nekovar},
  journal= {arXiv preprint arXiv:1807.09171},
  year   = {2018}
}

Comments

9 pages, no figures

R2 v1 2026-06-23T03:12:40.850Z