Authors construct supersymmetric embeddings for non-SUSY gauge theory operators up to dimension six and use vector bundles to reveal an underlying complex geometry that organizes operators under field redefinitions across spins.
Collinear Superspace
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abstract
This letter provides a superfield based approach to constructing a collinear slice of $\mathcal{N}$ = 1 superspace. The strategy is analogous to integrating out anti-collinear fermionic degrees-of-freedom as was developed in the context of soft-collinear effective theory. The resulting Lagrangian can be understood as an integral over collinear superspace, where half the supercoordinates have been integrated out. The application to $\mathcal{N}$ = 1 super Yang-Mills is presented. Collinear superspace provides the foundation for future explorations of supersymmetric soft-collinear effective theory.
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Supersymmetric geometry in non-supersymmetric effective field theory
Authors construct supersymmetric embeddings for non-SUSY gauge theory operators up to dimension six and use vector bundles to reveal an underlying complex geometry that organizes operators under field redefinitions across spins.