Extended solutions for the biadjoint scalar field

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.

11 pages, 2 figures

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• On the Lagrangian formulation of the double copy to cubic order
• More on the Classical Double Copy in Three Spacetime Dimensions
• The double copy: from optics to quantum gravity