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Stringy Jacobi fields in Morse theory

Mathematical Physics 2008-11-26 v2 High Energy Physics - Theory math.MP

Abstract

We consider the variation of the surface spanned by closed strings in a spacetime manifold. Using the Nambu-Goto string action, we induce the geodesic surface equation, the geodesic surface deviation equation which yields a Jacobi field, and we define the index form of a geodesic surface as in the case of point particles to discuss conjugate strings on the geodesic surface.

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Cite

@article{arxiv.0704.0116,
  title  = {Stringy Jacobi fields in Morse theory},
  author = {Yong Seung Cho and Soon-Tae Hong},
  journal= {arXiv preprint arXiv:0704.0116},
  year   = {2008}
}

Comments

4 pages, more references are added