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Exact results in softly broken supersymmetric chiral gauge theories with flavor

Jacob M. Leedom^1,*, Hitoshi Murayama ^2,3,4,†, Gup Singh ^2,3,‡, Bethany Suter ^2,3,§, and Jason Wong ^2,3,∥

¹CEICO, Institute of Physics of the Czech Academy of Sciences, Na Slovance 2, 182 00 Prague 8, Czech Republic
²Theory Group, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
³Berkeley Center for Theoretical Physics, University of California, Berkeley, California 94720, USA
⁴Kavli Institute for the Physics and Mathematics of the Universe (WPI), University of Tokyo, Kashiwa 277-8583, Japan

^*Contact author: leedom@fzu.cz
^†Contact author: hitoshi@berkeley.edu
^‡Contact author: gupsingh@berkeley.edu
^§Contact author: bethany_suter@berkeley.edu
^∥Contact author: jtwong71@berkeley.edu

Phys. Rev. D 112, 025001 – Published 2 July, 2025

DOI: https://doi.org/10.1103/wvb3-gybj

Abstract

We present exact results in softly broken supersymmetric $SU (N_{C})$ chiral gauge theories with charged fermions in one antisymmetric, $N_{F}$ fundamental, and $N_{C} + N_{F} - 4$ antifundamental representations. We achieve this by considering the supersymmetric version of these theories and utilizing anomaly mediated supersymmetry breaking at a scale $m ≪ Λ$ to generate a vacuum. The connection to nonsupersymmetric theories is then conjectured in the limit $m \to \infty$ . For odd $N_{C}$ , we determine the massless fermions and unbroken global symmetries in the infrared. For even $N_{C}$ , we find global symmetries are nonanomalous and no massless fermions. In all cases, the symmetry breaking patterns differ from what the tumbling hypothesis would suggest.

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Phys. Rev. D 112, 025001– Published 2 July, 2025

Vol. 112, Iss. 2 — 15 July 2025

Received 20 March 2025
Accepted 4 June 2025

DOI: https://doi.org/10.1103/wvb3-gybj

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society

Physical Review D

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Exact results in softly broken supersymmetric chiral gauge theories with flavor

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