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In recent work In this Letter we show that the required deformation, while not in SU(8), does belong to K (E 10 ), the 'maximal compact' subgroup of E 10 which is a possible candidate symmetry underlying M theory. The incorporation of infinite-dimensional Kac-Moody symmetries of hyperbolic type, apparently unavoidable for the present scheme to work, opens up completely new perspectives on embedding Standard Model physics into a Planck scale theory of quantum gravity.
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Kleinschmidt et al. (2015) studied this question.
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