A note on ODEs from mirror symmetry

We give close formulas for the counting functions of rational curves on complete intersection Calabi-Yau manifolds in terms of special solutions of generalized hypergeometric differential systems. For the one modulus cases we derive a differential equation for the Mirror map, which can be viewed as...

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Detalles Bibliográficos
Autores principales: Klemm, A., Lian, B.H., Roan, S.S., Yau, Shing-Tung
Lenguaje:eng
Publicado: 1994
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/266669
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author Klemm, A.
Lian, B.H.
Roan, S.S.
Yau, Shing-Tung
author_facet Klemm, A.
Lian, B.H.
Roan, S.S.
Yau, Shing-Tung
author_sort Klemm, A.
collection CERN
description We give close formulas for the counting functions of rational curves on complete intersection Calabi-Yau manifolds in terms of special solutions of generalized hypergeometric differential systems. For the one modulus cases we derive a differential equation for the Mirror map, which can be viewed as a generalization of the Schwarzian equation. We also derive a nonlinear seventh order differential equation which directly governs the instanton corrected Yukawa coupling.
id cern-266669
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1994
record_format invenio
spelling cern-2666692023-03-15T19:10:50Zhttp://cds.cern.ch/record/266669engKlemm, A.Lian, B.H.Roan, S.S.Yau, Shing-TungA note on ODEs from mirror symmetryMathematical Physics and MathematicsWe give close formulas for the counting functions of rational curves on complete intersection Calabi-Yau manifolds in terms of special solutions of generalized hypergeometric differential systems. For the one modulus cases we derive a differential equation for the Mirror map, which can be viewed as a generalization of the Schwarzian equation. We also derive a nonlinear seventh order differential equation which directly governs the instanton corrected Yukawa coupling.We give close formulas for the counting functions of rational curves on complete intersection Calabi-Yau manifolds in terms of special solutions of generalized hypergeometric differential systems. For the one modulus cases we derive a differential equation for the Mirror map, which can be viewed as a generalization of the Schwarzian equation. We also derive a nonlinear seventh order differential equation which directly governs the instanton corrected Yukawa coupling.hep-th/9407192CERN-TH-7369-94CERN-TH-7369-94oai:cds.cern.ch:2666691994
spellingShingle Mathematical Physics and Mathematics
Klemm, A.
Lian, B.H.
Roan, S.S.
Yau, Shing-Tung
A note on ODEs from mirror symmetry
title A note on ODEs from mirror symmetry
title_full A note on ODEs from mirror symmetry
title_fullStr A note on ODEs from mirror symmetry
title_full_unstemmed A note on ODEs from mirror symmetry
title_short A note on ODEs from mirror symmetry
title_sort note on odes from mirror symmetry
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/266669
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AT roanss anoteonodesfrommirrorsymmetry
AT yaushingtung anoteonodesfrommirrorsymmetry
AT klemma noteonodesfrommirrorsymmetry
AT lianbh noteonodesfrommirrorsymmetry
AT roanss noteonodesfrommirrorsymmetry
AT yaushingtung noteonodesfrommirrorsymmetry

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