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arxiv: math-ph/9804002 · v1 · submitted 1998-04-01 · 🧮 math-ph · gr-qc· math.MP

Deformations of extended objects with edges

classification 🧮 math-ph gr-qcmath.MP
keywords fluctuationsbulkdirac-nambu-gotoedgeedgesextendedobjectworldsheet
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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.

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