Gauge fields with vanishing scalar invariants

Abstract

We consider extension of some established techniques of study of tensor fields on Lorentzian manifolds of arbitrary dimension to non-Abelian gauge covariant fields. These are then applied to study of gauge fields with vanishing scalar curvature invariants and universal Yang-Mills fields, for which all possible higher-order corrections to the Yang-Mills equation identically vanish.

References in corpus (24)

• On non-abelian generalisation of Born-Infeld action in string theory
• All spacetimes with vanishing curvature invariants
• Alignment and algebraically special tensors in Lorentzian geometry
• Vanishing Scalar Invariant Spacetimes in Higher Dimensions
• On Spacetimes with Constant Scalar Invariants
• Generalization of the Geroch-Held-Penrose formalism to higher dimensions
• The structure of maximally supersymmetric Yang-Mills theory: constraining higher-order corrections
• Supersymmetric String Waves
• Ricci identities in higher dimensions
• Higher dimensional VSI spacetimes
• Type III and N universal spacetimes
• Abelian and nonabelian vector field effective actions from string field theory
• Electromagnetic fields with vanishing scalar invariants
• Type II universal spacetimes
• Electromagnetic fields with vanishing quantum corrections
• Universal electromagnetic fields
• Vanishing Scalar Invariant Spacetimes in Supergravity
• Plane fronted gravitational waves in Lovelock-Yang-Mills theory
• Almost universal spacetimes in higher-order gravity theories
• Type III Einstein-Yang-Mills solutions
• Non-Abelian pp-waves in D=4 supergravity theories
• Einstein-Maxwell fields with vanishing higher-order corrections
• Weyl type N solutions with null electromagnetic fields in the Einstein-Maxwell $p$-form theory
• Spacetimes of Weyl and Ricci type N in higher dimensions