Periods for Calabi-Yau and Landau-Ginzburg vacua

Per Berglund; Philip Candelas; Xenia de la Ossa; Anamaría Font; Tristan Hübsch; Dubravka Jančić; Fernando Quevedo

doi:10.1016/0550-3213(94)90047-7

Periods for Calabi-Yau and Landau-Ginzburg vacua

Per Berglund, Philip Candelas, Xenia de la Ossa, Anamaría Font, Tristan Hübsch, Dubravka Jančić, Fernando Quevedo

Physics

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Abstract

The complete structure of the moduli space of Calabi-Yau manifolds 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 Calabi-Yau manifolds. We also point out that it is possible to read off from the periods certain important information relating to the mirror manifolds.

Original language	English (US)
Pages (from-to)	352-403
Number of pages	52
Journal	Nuclear Physics, Section B
Volume	419
Issue number	2
DOIs	https://doi.org/10.1016/0550-3213(94)90047-7
State	Published - May 16 1994

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Nuclear and High Energy Physics

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abstract = "The complete structure of the moduli space of Calabi-Yau manifolds 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 Calabi-Yau manifolds. 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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AU - Candelas, Philip

AU - de la Ossa, Xenia

AU - Font, Anamaría

AU - Hübsch, Tristan

AU - Jančić, Dubravka

AU - Quevedo, Fernando

PY - 1994/5/16

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N2 - The complete structure of the moduli space of Calabi-Yau manifolds 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 Calabi-Yau manifolds. We also point out that it is possible to read off from the periods certain important information relating to the mirror manifolds.

AB - The complete structure of the moduli space of Calabi-Yau manifolds 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 Calabi-Yau manifolds. 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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Periods for Calabi-Yau and Landau-Ginzburg vacua

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