Abstract
Following a recent publication, in this paper we count the number of independent operators at arbitrary mass dimension in N = 1 supersymmetric gauge theories and derive their field and derivative content. This work uses Hilbert series machinery and extends a technique from our previous work on handling integration by parts redundancies to vector superfields. The method proposed here can be applied to both abelian and non-abelian gauge theories and for any set of (chiral/antichiral) matter fields. We work through detailed steps for the abelian case with single flavor chiral superfield at mass dimension eight, and provide other examples in the appendices.
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This is partially supported by the National Science Foundation under Grant Number PHY-2112540.
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Delgado, A., Martin, A. & Wang, R. Counting operators in N = 1 supersymmetric gauge theories. J. High Energ. Phys. 2023, 81 (2023). https://doi.org/10.1007/JHEP07(2023)081
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DOI: https://doi.org/10.1007/JHEP07(2023)081