Deformations of extended objects with edges

Abstract

We present a manifestly gauge covariant description of fluctuations of a relativistic extended object described by the Dirac-Nambu-Goto action with Dirac-Nambu-Goto loaded edges about a given classical solution. Whereas physical fluctuations of the bulk lie normal to its worldsheet, those on the edge possess an additional component directed into the bulk. These fluctuations couple in a non-trivial way involving the underlying geometrical structures associated with the worldsheet of the object and of its edge. We illustrate the formalism using as an example a string with massive point particles attached to its ends.

17 pages, revtex, to appear in Phys. Rev. D57

References in corpus (4)

• Geometry of Deformations of Relativistic Membranes
• Propagation of perturbations along strings
• Perturbations of a topological defect as a theory of scalar fields interacting with an external vector potential
• Extended objects with edges

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• Constrained Superconducting Membranes
• Towards a covariant canonical formulation for closed topological defects without boundaries
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• Nucleation of ${}^{(4)}R$ Brane Universes
• Self-gravitating branes again
• 5-dimensional braneworld with gravitating Nambu-Goto matching conditions