Yang-Mills theory from the worldsheet

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.

arXiv comment9 pages, no figures

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Cited by in corpus (11)

• Celestial amplitudes and conformal soft theorems
• Celestial operator products from the worldsheet
• Plane wave backgrounds and colour-kinematics duality
• Celestial double copy from the worldsheet
• Scattering Equations in AdS: Scalar Correlators in Arbitrary Dimensions
• MHV scattering of gluons and gravitons in chiral strong fields
• All-order celestial OPE in the MHV sector
• Gluon scattering on self-dual radiative gauge fields
• Ambitwistor string vertex operators on curved backgrounds
• Supersymmetric celestial OPEs and soft algebras from the ambitwistor string worldsheet
• Ambitwistor strings and amplitudes in curved backgrounds