Prepotentials for local mirror symmetry via Calabi-Yau fourfolds | Zendy

Brian Forbes | Zendy; Masao Jinzenji | Zendy

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Prepotentials for local mirror symmetry via Calabi-Yau fourfolds

Author(s) -

Brian Forbes,

Masao Jinzenji

Publication year - 2006

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2006/03/061

Subject(s) - calabi–yau manifold , mirror symmetry , formalism (music) , pure mathematics , instanton , bundle , mathematics , complete intersection , canonical bundle , theoretical physics , physics , mathematical physics , literature , art , musical , materials science , composite material

In this paper, we first derive an intrinsic definition of classical tripleintersection numbers of K_S, where S is a complex toric surface, and use thisto compute the extended Picard-Fuchs system of K_S of our previous paper,without making use of the instanton expansion. We then extend this formalism tolocal fourfolds K_X, where X is a complex 3-fold. As a result, we are able tofix the prepotential of local Calabi-Yau threefolds K_S up to polynomial termsof degree 2. We then outline methods of extending the procedure to noncanonical bundle cases.Comment: 42 pages, 7 figures. Expanded, reorganized, and added a theoretical background for the calculation

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