d = 11 Supergravity on almost flat R^4 times a compact hyperbolic 7-manifold, and the dip and bump seen in ATLAS-CONF-2010-088

TL;DR

This paper explores how a specific compactification of 11-dimensional supergravity on a hyperbolic 7-manifold could explain the 1.7-1.9 TeV bump observed in ATLAS data, proposing a quantum-corrected model with potential Standard Model integration.

Contribution

It introduces a novel hypothesis that the bump results from harmonic forms on a hyperbolic 7-manifold, providing a natural explanation for the observed spectral features.

Findings

The bump could be due to approximately 10^{30} degenerate Kaluza-Klein states.

A harmonic form-based model predicts the bump's spin composition depending on the manifold's dimension.

The proposed model can accommodate the observed de Sitter radius and Standard Model fields.

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.