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Circumnavigating Collinear Superspace
- Source :
- J. High Energ. Phys. 2020, 156 (2020)
- Publication Year :
- 2019
-
Abstract
- In this paper, we extend the collinear superspace formalism to include the full range of $\mathcal{N} = 1$ 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 $F$- 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 expressed on a collinear slice. This brings us full circle, by showing that all types of $\mathcal{N} = 1$ theories in four dimensions can be constructed in collinear superspace from purely infrared considerations. We speculate that supersymmetric theories with $\mathcal{N} > 1$ could also be implemented using similar collinear superspace constructions.<br />Comment: 51 pages plus appendix, 7 tables. v3 Published version
- Subjects :
- High Energy Physics - Theory
High Energy Physics - Phenomenology
Subjects
Details
- Database :
- arXiv
- Journal :
- J. High Energ. Phys. 2020, 156 (2020)
- Publication Type :
- Report
- Accession number :
- edsarx.1909.00009
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/JHEP02(2020)156