Stringy Jacobi fields in Morse theory

Details Stringy Jacobi fields in Morse theory Stringy Jacobi fields in Morse theory

2007-04-02

arxiv.org/abs/0704.0116v2

Phys.Rev.D75:127902,2007

Physics

Mathematical Physics

4 pages, more references are added

Scientific paper

10.1103/PhysRevD.75.127902

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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