Circumnavigating collinear superspace
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13130_2020_Article_12493.pdf
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Author(s)
Cohen, Timothy
Elor, Gilly
Larkoski, Andrew J
Thaler, Jesse
Date Issued
February 25, 2020
Publisher
Springer Berlin Heidelberg
Citation
Journal of High Energy Physics. 2020 Feb 25;2020(2):156
Version
Final published version
Abstract
Abstract
In this paper, we extend the collinear superspace formalism to include the full range of N$$ \mathcal{N} $$ = 1 supersymmetric interactions. Building on the effective field theory rules developed in a companion paper — Navigating Collinear Superspace [1] — we construct collinear superspace Lagrangians for theories with non-trivial F- and D-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 gauge interactions when the theory is expres sed on a collinear slice. This brings us full circle, by showing that all types of N$$ \mathcal{N} $$ = 1 theories in four dimensions can beconstructed in collinear superspace from purely infrared considerations. We speculate that supersymmetric theories with N$$ \mathcal{N} $$ > 1 could also be implemented using similar collinear superspace constructions.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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DOI of Published Version
https://doi.org/10.1007/JHEP02(2020)156
