Periods for Calabi--Yau and Landau--Ginzburg Vacua

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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54pp. Use harvmac; WARNING: option l does not work. (Replaces unTeXable version.)

Scientific paper

10.1016/0550-3213(94)90047-7

The complete structure of the moduli space of \cys\ and the associated Landau-Ginzburg theories, and hence also of the corresponding low-energy effective theory that results from (2,2) superstring compactification, may be determined in terms of certain holomorphic functions called periods. These periods are shown to be readily calculable for a great many such models. We illustrate this by computing the periods explicitly for a number of classes of \cys. We also point out that it is possible to read off from the periods certain important information relating to the mirror manifolds.

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