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E10 and a "small tension expansion" of M Theory
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E10 and a "small tension expansion" of M Theory
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A formal ``small tension'' expansion of D=11 supergravity near a spacelike singularity is shown to be equivalent, at least up to 30th order in height, to a null geodesic motion in the infinite dimensional coset space E10/K(E10) where K(E10) is the maximal compact subgroup of the hyperbolic Kac-Moody group E10(R). For the proof we make use of a novel decomposition of E10 into irreducible representations of its SL(10,R) subgroup. We explicitly show how to identify the first four rungs of the E10 coset fields with the values of geometric quantities constructed from D=11 supergravity fields and their spatial gradients taken at some comoving spatial point.
Forward citations
Cited by 7 Pith papers
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A maximally supersymmetric extension of BFSS is obtained by adding a 5-bracket, promoting the 2-bracket structure constants to a dynamical field H_abc with Chern-Simons kinetics and an F^{2}=1 relation, with the actio...
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A Novel Matrix Model for the M5-brane?
A maximally supersymmetric formal extension of BFSS by a 5-bracket exists once the 2-bracket structure constants are promoted to a dynamical self-dual field subject to Filippov and BPS quadratic constraints.
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