Gravity, p-branes and a spacetime counterpart of the Higgs effect

Abstract

We point out that the worldvolume coordinate functions ${\hat{x}}^{\mu }(\xi )$ of a $p$-brane, treated as an independent object interacting with dynamical gravity, are Goldstone fields for spacetime diffeomorphisms gauge symmetry. The presence of this gauge invariance is exhibited by its associated Noether identity, which expresses that the source equations follow from the gravitational equations. We discuss the spacetime counterpart of the Higgs effect and show that a $p$-brane does not carry any local degrees of freedom, extending early known general relativity features. Our considerations are also relevant for brane world scenarios.

arXiv comment5 pages, RevTeX. v2 (30-IV-03) with additional text and references

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• Dirac equation for the supermembrane in a background with fluxes from a component description of the D=11 supergravity-supermembrane interacting system
• D=4 supergravity dynamically coupled to superstring in a superfield Lagrangian approach
• Classical Solutions of Ghost Condensation Models
• Superfield T-duality rules
• Massive Gravity in Curved Cosmological Backgrounds
• Massless Limit of Gravitational Higgs Mechanism
• Spacetime Brout-Englert-Higgs effect in General Relativity interacting with p-brane matter
• Superfield T-duality rules in ten dimensions with one isometry
• Gravity on de-Sitter 3-Brane, Induced Einstein-Hilbert Term and Massless Gravitons