Circumnavigating Collinear Superspace
Timothy Cohen, Gilly Elor, Andrew J. Larkoski, and Jesse Thaler

TL;DR
This paper extends collinear superspace formalism to include full $ cal=1$ supersymmetric interactions, introducing novel supermultiplets and vector superfields to model gauge and matter interactions in a simplified, infrared-focused framework.
Contribution
It develops a comprehensive collinear superspace framework for $ cal=1$ theories, including new supermultiplets and gauge structures, enabling construction of supersymmetric models from infrared data.
Findings
Constructed collinear superspace Lagrangians for $ cal=1$ theories.
Introduced novel Grassmann-valued supermultiplets and vector superfields.
Showed all $ cal=1$ theories in 4D can be built from infrared considerations.
Abstract
In this paper, we extend the collinear superspace formalism to include the full range of supersymmetric interactions. Building on the effective field theory rules developed in a companion paper - "Navigating Collinear Superspace" - we construct collinear superspace Lagrangians for theories with non-trivial - and -term auxiliary fields. For (massless) Wess-Zumino models, the key ingredient is a novel type of Grassmann-valued supermultiplet whose lowest component is a (non-propagating) fermionic degree of freedom. For gauge theories coupled to charged chiral matter, the key ingredient is a novel type of vector superfield whose lowest component is a non-propagating gauge potential. This unique vector superfield is used to construct a gauge-covariant derivative; while such an object does not appear in the standard full superspace formalism, it is crucial for modeling…
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