Extended solutions for the biadjoint scalar field

TL;DR

This paper introduces a new family of extended solutions for biadjoint scalar fields, incorporating form factors that mitigate divergence at the origin, expanding upon previous monopole-like solutions.

Contribution

It presents a novel class of extended solutions with form factors for biadjoint scalar fields, generalizing earlier monopole-like solutions.

Findings

New extended solutions with form factors are derived.

Previous solutions are special cases of the new family.

The solutions partially screen divergences at the origin.

Abstract

Biadjoint scalar field theories are increasingly important in the study of scattering amplitudes in various string and field theories. Recently, some first exact nonperturbative solutions of biadjoint scalar theory were presented, with a pure power-like form corresponding to isolated monopole-like objects located at the origin of space. In this paper, we find a novel family of extended solutions, involving non-trivial form factors that partially screen the divergent field at the origin. All previous solutions emerge as special cases.