Mirror Manifolds: A Brief Review and Progress Report

Details Mirror Manifolds: A Brief Review and Progress Report Mirror Manifolds: A Brief Review and Progress Report

1991-10-04

arxiv.org/abs/hep-th/9110014v1

Physics

High Energy Physics

High Energy Physics - Theory

19 pages

Scientific paper

We first give a complete, albeit brief, review of the discovery of mirror symmetry in $N=2$ string/conformal field theory. In particular, we describe the naturality arguments which led to the initial mirror symmetry conjectures and the subsequent work which established the existence of mirror symmetry through direct construction. We then review a number of striking consequences of mirror symmetry -- both conceptual and calculational. Finally, we describe recent work which introduces a variant on our original proof of the existence of mirror symmetry. This work affirms classical--quantum symmetry duality as well as extends the domain of our initial mirror symmetry construction.

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