Five-dimensional Supergravity and Hyperbolic Kac-Moody Algebra G2H

Details Five-dimensional Supergravity and Hyperbolic Kac-Moody Algebra G2H Five-dimensional Supergravity and Hyperbolic Kac-Moody Algebra G2H

2005-12-08

arxiv.org/abs/hep-th/0512092v2

Class.Quant.Grav.23:3181-3194,2006

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 1 figure

Scientific paper

10.1088/0264-9381/23/9/026

Motivated by the recent analysis of the E10 sigma model for the study of M theory, we study a one-dimensional sigma model associated with the hyperbolic Kac-Moody algebra G2H and its link to D=5, N=2 pure supergravity, which closely resembles in many ways D=11 supergravity. The bosonic equations of motion and the Bianchi identity for D=5 pure supergravity match the equations of the level l<=3 truncation of the G2H sigma model up to higher level terms, just as they do for the D=11 case. We also compute low level root and outer multiplicities in the A3 decomposition, and indeed find singlets at l=4k, k=2,3,... corresponding to the scaling of ER^{k+1} terms, although the missing singlet at l =4 remains a puzzle.

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