Journal of High Energy Physics

, 2019:77 | Cite as

An algebraic classification of exceptional EFTs. Part II. Supersymmetry

  • Diederik Roest
  • David StefanyszynEmail author
  • Pelle Werkman
Open Access
Regular Article - Theoretical Physics


We present a novel approach to classify supersymmetric effective field theories (EFTs) whose scattering amplitudes exhibit enhanced soft limits. These enhancements arise due to non-linearly realised symmetries on the Goldstone modes of such EFTs and we classify the algebras that these symmetries can form. Our main focus is on so-called exceptional algebras which lead to field-dependent transformation rules and EFTs with the maximum possible soft enhancement at a given derivative power counting. We adapt existing techniques for Poincaré invariant theories to the supersymmetric case, and introduce superspace inverse Higgs constraints as a method of reducing the number of Goldstone modes while maintaining all symmetries. Restricting to the case of a single Goldstone supermultiplet in four dimensions, we classify the exceptional algebras and EFTs for a chiral, Maxwell or real linear supermultiplet. Moreover, we show how our algebraic approach allows one to read off the soft weights of the different component fields from superspace inverse Higgs trees, which are the algebraic cousin of the on-shell soft data one provides to soft bootstrap EFTs using on-shell recursion. Our Lie-superalgebraic approach extends the results of on-shell methods and provides a complementary perspective on non-linear realisations.


Effective Field Theories Space-Time Symmetries Spontaneous Symmetry Breaking Supersymmetric Effective Theories 


Open Access

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  • Diederik Roest
    • 1
  • David Stefanyszyn
    • 1
    Email author
  • Pelle Werkman
    • 1
  1. 1.Van Swinderen Institute for Particle Physics and GravityUniversity of GroningenGroningenThe Netherlands

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