d = 11 Supergravity on almost flat R^4 times a compact hyperbolic 7manifold, and the dip and bump seen in ATLASCONF2010088
Abstract
Rough estimates are presented to show that the bump at 1.7 to 1.9 TeV seen in ATLASCONF2010088 could arise from about 10^{30} approximately degenerate KaluzaKlein states of the d = 11 supergravity multiplet in the s channel, that could arise from compactification of d = 11 supergravity on a 7manifold 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 7manifold 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 7dimensional, and a mixture of spins 0 and 1 if it is 5dimensional or 3dimensional. Even dimensions probably give too many modes. A provisional solution of the quantumcorrected d = 11 Einstein equations on a compact hyperbolic 7manifold times 4 almost flat extended dimensions whose de Sitter radius can easily be as large as the observed value is considered, and a HoravaWitten boundary is introduced to accommodate the Standard Model fields.
 Publication:

arXiv eprints
 Pub Date:
 March 2011
 arXiv:
 arXiv:1103.2732
 Bibcode:
 2011arXiv1103.2732A
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Experiment;
 High Energy Physics  Phenomenology
 EPrint:
 LaTeX2e, 61 pages, uses breqn.sty. v2: corrections to abstract and section 1, breqn now used correctly, partly fixed bib. v3: abstract revised, article revised and extended, bib fixed. v4: corrections to abstract and article, ref added