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
arXiv:1103.2732
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.
arXiv commentLaTeX2e, 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
References in corpus (57)
- First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
- A Large Mass Hierarchy from a Small Extra Dimension
- The Hierarchy Problem and New Dimensions at a Millimeter
- Parton distributions for the LHC
- Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
- Cosmological Results from High-z Supernovae
- Eleven-Dimensional Supergravity on a Manifold with Boundary
- Quantization of Four-form Fluxes and Dynamical Neutralization of the Cosmological Constant
- Dark Matter Results from 100 Live Days of XENON100 Data
- Extra Spacetime Dimensions and Unification
- On Flux Quantization In M-Theory And The Effective Action
- Eleven Dimensional Origin of String/String Duality: A One Loop Test
- On the Four-Dimensional Effective Action of Strongly Coupled Heterotic String Theory
- A field-theory motivated approach to symbolic computer algebra
- Compact Hyperbolic Extra Dimensions: Branes, Kaluza-Klein Modes and Cosmology
- Boundary Terms, Variational Principles and Higher Derivative Modified Gravity
- R^4 terms in 11 dimensions and conformal anomaly of (2,0) theory
- Introducing Cadabra: a symbolic computer algebra system for field theory problems
- The Ten-dimensional Effective Action of Strongly Coupled Heterotic String Theory
- On the exact quartic effective action for the type IIB superstring
- Anomalies, Gauss laws, and Page charges in M-theory
- TASI 2003 Lectures on Anomalies
- Counterterms/M-theory Corrections to D=11 Supergravity
- Tree Amplitudes and Two-loop Counterterms in D=11 Supergravity
- Boundary terms for supergravity and heterotic M-Theory
- Brane Tensions and Coupling Constants from within M-Theory
- Toward the Determination of R^3F^2 Terms in M-theory
- A brief introduction to Cadabra: a tool for tensor computations in General Relativity
- Intersecting Orbifold Planes and Local Anomaly Cancellation in M-Theory
- Anomaly cancellation in M-theory
- Anomaly cancellation in M-theory: a critical review
- Boundary terms for eleven-dimensional supergravity and M-theory
- Accelerated Unification
- Compact hyperbolic extra dimensions: a M-theory solution and its implications for the LHC
- The One-Loop H^2R^3 and H^2(DH)^2R Terms in the Effective Action
- R^4 Corrections to Eleven Dimensional Supergravity via Supersymmetry
- M-Theory on S^1/Z_2 : New Facts from a Careful Analysis
- Eleven dimensional supergravity in light cone gauge
- Numerical Study of Length Spectra and Low-lying Eigenvalue Spectra of Compact Hyperbolic 3-manifolds
- Shortcuts to Spherically Symmetric Solutions: A Cautionary Note
- A new look at anomaly cancellation in heterotic -theory
- Coupling Constants and Brane Tensions from Anomaly Cancellation in M-theory
- Symmetric Criticality in Classical Field Theory
- On Volumes of Arithmetic Quotients of SO(1,n)
- Gravitational Anomaly Cancellation for M-Theory Fivebranes
- Constructing Hyperbolic Manifolds
- A description of several coordinate systems for hyperbolic spaces
- Remarks on M-theory coupling constants and M-brane tension quantizations
- Anomaly cancellation in M-theory on orbifolds
- Higher Derivative Corrections in M-theory via Local Supersymmetry
- Dehn filling and Einstein metrics in higher dimensions
- Addendum to: On Volumes of Arithmetic Quotients of SO(1,n)
- The Dirac Operator on Hyperbolic Manifolds of Finite Volume
- Compact hyperbolic Coxeter n-polytopes with n+3 facets
- TeV-scale gravity in Horava-Witten theory on a compact complex hyperbolic threefold
- Growth of Betti Numbers
- Coxeter groups and hyperbolic manifolds