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arXiv · 2210.12800

Effective observables for electromagnetic duality from novel amplitude decomposition

Nicolas H. Pavao
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Abstract

We introduce a decomposition of D-dimensional vector amplitudes in terms of building blocks that preserve all partial amplitude relations of the parent gauge-theory. Using this decomposition, we derive a new set of amplitude relations between nonlinear sigma model pions and the pure-scalar sector of Yang-Mills-scalar theory. These new relations indicate an equivalence between Born-Infeld duality invariance and that of Einstein-Maxwell theory, considering their known double-copy construction from the two scalar theories with Yang Mills. This observation motivates a general framework for constructing duality-invariant effective field theory observables at any multiplicity using the building blocks in our amplitude decomposition. Finally, we conjecture a subtle relationship between these duality-invariant building blocks and the bosonic sector of N=4 super Yang-Mills.

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Nicolas H. Pavao. 2022-10-23. Effective observables for electromagnetic duality from novel amplitude decomposition. https://doi.org/10.1103/physrevd.107.065020

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