摘要翻译:
我们解释了紧致Calabi-Yau三元上D-Brane超势所满足的扩展Picard-Fuchs方程的B-模型起源。通过Abel-Jacobi映射,用一个Poincare正规函数--Griffiths中间Jacobian的横向全纯截面来识别畴壁张力。在这种形式下,我们导出了与实五次的镜像相关联的扩展Picard-Fuchs方程。
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英文标题:
《D-branes and Normal Functions》
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作者:
David R. Morrison, Johannes Walcher
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:High Energy Physics - Theory 高能物理-理论
分类描述:Formal aspects of quantum field theory. String theory, supersymmetry and supergravity.
量子场论的形式方面。弦理论,超对称性和超引力。
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一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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英文摘要:
We explain the B-model origin of extended Picard-Fuchs equations satisfied by the D-brane superpotential on compact Calabi-Yau threefolds. Via the Abel-Jacobi map, the domainwall tension is identified with a Poincare normal function--a transversal holomorphic section of the Griffiths intermediate Jacobian. Within this formalism, we derive the extended Picard-Fuchs equation associated with the mirror of the real quintic.
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PDF链接:
https://arxiv.org/pdf/0709.4028