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Schreiberdk

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Abstract

"Rough estimates are presented to show that the bump at 1.7 to 1.9 TeV seen in ATLAS-CONF-2010-088 could arise from about 10^{30} approximately degenerate Kaluza-Klein states of the d = 11 supergravity multiplet in the s channel, that could arise from compactification of d = 11 supergravity on a 7-manifold with a compact hyperbolic Cartesian factor of intrinsic volume around 10^{34} and curvature radius an inverse TeV. A first hypothesis that the modes in the bump arise from a large degeneracy that restores agreement between the spectral staircase and the Weyl asymptotic formula immediately above the spectral gap gives a number of modes that is too large by a factor of around 60000. An alternative hypothesis that the modes in the bump arise from harmonic forms on the compact 7-manifold that are classically massless and acquire approximately equal masses from the leading quantum corrections to the CJS action naturally explains the slight reduction on a logarithmic scale in the number of modes relative to the first hypothesis, and predicts that the bump is spin 0 if the compact hyperbolic factor of large intrinsic volume is 7-dimensional, and a mixture of spins 0 and 1 if it is 5-dimensional or 3-dimensional. Even dimensions probably give too many modes. A provisional solution of the quantum-corrected d = 11 Einstein equations on a compact hyperbolic 7-manifold times 4 almost flat extended dimensions whose de Sitter radius can easily be as large as the observed value is considered, and a Horava-Witten boundary is introduced to accommodate the Standard Model fields."

Any thoughts? Is this a good paper (I don't have the background to make such a conclusion)? But if it is, then I think it looks quite promising, that 11d SUGRA makes prediction in the LHC-realm. In my thoughts, this could perhaps lead to strings making predictions in the LHC-realm? :)

\Schreiber