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Title: Circumnavigating collinear superspace

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.

Authors:
 [1];  [2];  [3];  [4]
  1. Univ. of Oregon, Eugene, OR (United States). Inst. of Theoretical Science
  2. Univ. of Washington, Seattle, WA (United States)
  3. Reed College, Portland, OR (United States)
  4. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Harvard Univ., Cambridge, MA (United States)
Publication Date:
Research Org.:
Univ. of Oregon, Eugene, OR (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Univ. of Washington, Seattle, WA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
OSTI Identifier:
1603791
Alternate Identifier(s):
OSTI ID: 1756102; OSTI ID: 1774038
Grant/Contract Number:  
SC0011640; SC0018191; SC0011637; SC0012567; PHY-1748958
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 2; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Superspaces; Supersymmetric Effective Theories; Supersymmetric GaugeTheory

Citation Formats

Cohen, Timothy, Elor, Gilly, Larkoski, Andrew J., and Thaler, Jesse. Circumnavigating collinear superspace. United States: N. p., 2020. Web. doi:10.1007/JHEP02(2020)156.
Cohen, Timothy, Elor, Gilly, Larkoski, Andrew J., & Thaler, Jesse. Circumnavigating collinear superspace. United States. doi:https://doi.org/10.1007/JHEP02(2020)156
Cohen, Timothy, Elor, Gilly, Larkoski, Andrew J., and Thaler, Jesse. Tue . "Circumnavigating collinear superspace". United States. doi:https://doi.org/10.1007/JHEP02(2020)156. https://www.osti.gov/servlets/purl/1603791.
@article{osti_1603791,
title = {Circumnavigating collinear superspace},
author = {Cohen, Timothy and Elor, Gilly and Larkoski, Andrew J. and Thaler, Jesse},
abstractNote = {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.},
doi = {10.1007/JHEP02(2020)156},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2020,
place = {United States},
year = {2020},
month = {2}
}

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