Classical Geometry and Target Space Duality

Details Classical Geometry and Target Space Duality Classical Geometry and Target Space Duality

1995-11-04

arxiv.org/abs/hep-th/9511024v2

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, LaTeX and epsf.sty. Two figures in epsf files. A one sentence comment on a reference was amended

Scientific paper

This is the written version of lectures presented at Cargese 95. A new formulation for a ``restricted'' type of target space duality in classical two dimensional nonlinear sigma models is presented. The main idea is summarized by the analogy: euclidean geometry is to riemannian geometry as toroidal target space duality is to ``restricted'' target space duality. The target space is not required to possess symmetry. These lectures only discuss the local theory. The restricted target space duality problem is identified with an interesting problem in classical differential geometry.

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