Abstract
We perform a systematic analysis on supersymmetric states in \( \mathcal{N}=4 \) supersymmetric Yang-Mills theory (SYM) on R × S 3. We find a new set of 1/16 BPS equations and determine the precise configuration of the supersymmetric states by solving all 1/16 BPS equations when they are valued in Cartan subalgebra of a gauge group and the fermionic fields vanish. We also determine the number of supersymmetries preserved by the supersymmetric states varying the parameters of the BPS solutions. As a byproduct we present the complete set of such supersymmetric states in \( \mathcal{N}=8 \) SYM on R × S 2 by carrying out dimensional reduction.
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Yokoyama, S. More on BPS States in \( \mathcal{N}=4 \) Supersymmetric Yang-Mills Theory on R × S3 . J. High Energ. Phys. 2014, 163 (2014). https://doi.org/10.1007/JHEP12(2014)163
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DOI: https://doi.org/10.1007/JHEP12(2014)163