Abstract
We show that the Hamiltonian of (\( \mathcal{N}=1 \), d = 10) super Yang-Mills can be expressed as a quadratic form in a very similar manner to that of the (\( \mathcal{N}=4 \), d = 4) theory. We find a similar quadratic form structure for pure Yang-Mills theory but this feature, in the non-supersymmetric case, seems to be unique to four dimensions. We discuss some consequences of this feature.
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Ananth, S., Brink, L. & Mali, M. Yang-Mills theories and quadratic forms. J. High Energ. Phys. 2015, 153 (2015). https://doi.org/10.1007/JHEP08(2015)153
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DOI: https://doi.org/10.1007/JHEP08(2015)153