A New Form of Soft Supersymmetry Breaking?

Authors

Scott Chapman, Chapman UniversityFollow

Document Type

Article

Publication Date

12-31-2024

Abstract

Starting with a supersymmetric U(N) × U(N) gauge theory built in N = 1 superspace, a nonsupersymmetric theory is obtained by “twisting” the gauginos into a different representation of the group than the gauge bosons. Despite the fact that this twisting breaks supersymmetry, it is still possible to construct an action that is holomorphic and invariant to local “twisted” gauge transformations in superspace. It is conjectured that these two properties may allow the theory to be free of quadratic divergences to all orders, despite a lack of supersymmetry. An explicit calculation shows that the theory is free of quadratic divergences to at least the two-loop order.

Comments

This article was originally published in Quantum Studies: Mathematics and Foundations, volume 12, in 2025. https://doi.org/10.1007/s40509-024-00355-2

Recommended Citation

Chapman, S. A new form of soft supersymmetry breaking?. Quantum Stud.: Math. Found. 12, 12 (2025). https://doi.org/10.1007/s40509-024-00355-2

Peer Reviewed

1

Copyright

The authors

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This work is licensed under a Creative Commons Attribution 4.0 License.