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Calabi-Yau manifolds and renormalization group flows. (English) Zbl 0744.53044
Summary: Using ideas of renormalization group flows we show how to represent a large class of Calabi-Yau manifolds in terms of renormalization group fixed points of Landau-Ginzburg models. In particular we show why Gepner’s construction yields Calabi-Yau compactifications. More precisely, we show that all of his models correspond to strings propagating on algebraic varieties in weighted projective spaces.

53Z05 Applications of differential geometry to physics
81T15 Perturbative methods of renormalization applied to problems in quantum field theory
Full Text: DOI
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