Gravitation and quadratic forms
High Energy Physics - Theory
2020-02-25 v1
Abstract
The light-cone Hamiltonians describing both pure Yang-Mills and 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 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.
Keywords
Cite
@article{arxiv.1702.06261,
title = {Gravitation and quadratic forms},
author = {Sudarshan Ananth and Lars Brink and Sucheta Majumdar and Mahendra Mali and Nabha Shah},
journal= {arXiv preprint arXiv:1702.06261},
year = {2020}
}
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18 pages