Biadjoint wires

TL;DR

This paper introduces new exact solutions to biadjoint scalar field theory, revealing a family of degenerate solutions and extended configurations that deepen understanding of gauge-gravity relationships.

Contribution

It presents the first explicit non-linear solutions for biadjoint scalar theory, including degenerate and screened configurations, expanding the known solution space.

Findings

Found a family of infinitely degenerate solutions for SU(2)

Discovered extended solutions with partial screening of divergences

Linked solutions to the global symmetry of the theory

Abstract

Biadjoint scalar field theory has been the subject of much recent study, due to a number of applications in field and string theory. The catalogue of exact non-linear solutions of this theory is relatively unexplored, despite having a role to play in extending known relationships between gauge and gravity theories, such as the double copy. In this paper, we present new solutions of biadjoint scalar theory, corresponding to singular line configurations in four spacetime dimensions, with a power-law dependence on the cylindrical radius. For a certain choice of common gauge group (SU(2)), a family of infinitely degenerate solutions is found, whose existence can be traced to the global symmetry of the theory. We also present extended solutions, in which the pure power-law divergence is partially screened by a form factor.