Abstract
The light-cone Hamiltonians describing both pure (\( \mathcal{N} \) = 0) Yang-Mills and \( \mathcal{N} \) = 4 super Yang-Mills may be expressed as quadratic forms. Here, we show that this feature extends to theories of gravity. We demonstrate how the Hamiltonians of both pure gravity and \( \mathcal{N} \) = 8 supergravity, in four dimensions, may be written as quadratic forms. We examine the effect of residual reparametrizations on the Hamiltonian and the resulting quadratic form.
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Ananth, S., Brink, L., Majumdar, S. et al. Gravitation and quadratic forms. J. High Energ. Phys. 2017, 169 (2017). https://doi.org/10.1007/JHEP03(2017)169
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DOI: https://doi.org/10.1007/JHEP03(2017)169