Extended E(8) invariance of 11-dimensional supergravity
Dec, 2005
9 pages
Published in:
- JHEP 02 (2006) 056
e-Print:
- hep-th/0512292 [hep-th]
Report number:
- ULB-TH-05-29
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Abstract:
The hyperbolic Kac-Moody algebra E10 has repeatedly been suggested to play a crucial role in the symmetry structure of M-theory. Recently, following the analysis of the asymptotic behaviour of the supergravity fields near a cosmological singularity, this question has received a new impulse. It has been argued that one way to exhibit the symmetry was to rewrite the supergravity equations as the equations of motion of the non-linear sigma model E10/K(E10). This attempt, in line with the established result that the scalar fields which appear in the toroidal compactification down to three spacetime dimensions form the coset E8/SO(16), was verified for the first bosonic levels in a level expansion of the theory. We show that the same features remain valid when one includes the gravitino field- supergravity
- dimension: 11
- invariance: E(8)
- algebra: E(10)
- algebra: Kac-Moody
- algebra: representation
- gravitino
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