A Higgs Mechanism for Gravity. Part II: Higher Spin Connections

Abstract

We continue the work of hep-th/0503024 in which gravity is considered as the Goldstone realization of a spontaneously broken diffeomorphism group. We complete the discussion of the coset space Diff(d,R)/SO(1,d-1) formed by the d-dimensional group of analytic diffeomorphisms and the Lorentz group. We find that this coset space is parameterized by coordinates, a metric and an infinite tower of higher-spin-like or generalized connections. We then study effective actions for the corresponding symmetry breaking which gives mass to the higher spin connections. Our model predicts that gravity is modified at high energies by the exchange of massive higher spin particles.

arXiv comment17 pages; discussion on local Poincare invariance and matter currents added; references added

References in corpus (18)

• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• Hybrid Inflation
• Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)d{S}_d$
• Nonlinear higher spin theories in various dimensions
• Spontaneously Broken Spacetime Symmetries and Goldstone's Theorem
• Cubic Interactions of Bosonic Higher Spin Gauge Fields in $Ad{S}_5$
• On geometric equations and duality for free higher spins
• N=1 Supersymmetric Theory of Higher Spin Gauge Fields in AdS(5) at the Cubic Level
• A note on spin-s duality
• A Higgs Mechanism for Gravity
• Einstein-aether theory, violation of Lorentz invariance, and metric-affine gravity
• The Higgs sector of gravitational gauge theories
• Is the Lorentz signature of the metric of spacetime electromagnetic in origin?
• More on La Grande Bouffe: towards higher spin symmetry breaking in AdS
• Plane waves in metric-affine gravity
• GUT Phase Transition and Hybrid Inflation
• From Poincare to affine invariance: How does the Dirac equation generalize?
• Gauge gravitation theory from the geometric viewpoint

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