Prepotentials for local mirror symmetry via Calabi-Yau fourfolds

Brian Forbes; Masao Jinzenji

doi:10.1088/1126-6708/2006/03/061

Prepotentials for local mirror symmetry via Calabi-Yau fourfolds

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we first derive an intrinsic definition of classical triple intersection numbers of K_S, where S is a complex toric surface, and use this to compute the extended Picard-Fuchs system of K_S of [1], without making use of the instanton expansion. We then extend this formalism to local fourfolds K_X, where X is a complex 3-fold. As a result, we are able to fix the prepotential of local Calabi-Yau threefolds K_S up to polynomial terms of degree 2. We then outline methods of extending the procedure to non canonical bundle cases.

Original language	English
Pages (from-to)	1475-4516
Number of pages	3042
Journal	Journal of High Energy Physics
Issue number	3
DOIs	https://doi.org/10.1088/1126-6708/2006/03/061
Publication status	Published - Mar 1 2006
Externally published	Yes

Keywords

Differential and Algebraic Geometry
String Duality
Topological Strings

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1088/1126-6708/2006/03/061

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abstract = "In this paper, we first derive an intrinsic definition of classical triple intersection numbers of KS, where S is a complex toric surface, and use this to compute the extended Picard-Fuchs system of KS of [1], without making use of the instanton expansion. We then extend this formalism to local fourfolds KX, where X is a complex 3-fold. As a result, we are able to fix the prepotential of local Calabi-Yau threefolds KS up to polynomial terms of degree 2. We then outline methods of extending the procedure to non canonical bundle cases.",

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AB - In this paper, we first derive an intrinsic definition of classical triple intersection numbers of KS, where S is a complex toric surface, and use this to compute the extended Picard-Fuchs system of KS of [1], without making use of the instanton expansion. We then extend this formalism to local fourfolds KX, where X is a complex 3-fold. As a result, we are able to fix the prepotential of local Calabi-Yau threefolds KS up to polynomial terms of degree 2. We then outline methods of extending the procedure to non canonical bundle cases.

KW - Differential and Algebraic Geometry

KW - String Duality

KW - Topological Strings

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Prepotentials for local mirror symmetry via Calabi-Yau fourfolds

Abstract

Keywords

ASJC Scopus subject areas

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