World-sheet Instanton Superpotentials in Heterotic String theory and their Moduli Dependence
World-sheet Instanton Superpotentials in Heterotic String theory and their Moduli Dependence
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异质弦理论中的世界表瞬时子超势及其模依赖性
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发表时间：
2008
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通讯作者：
G. Curio
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作者：
G. Curio
为了详细理解世界表瞬子对异质弦紧化中超势的贡献，我们必须理解涨落的单环行列式的模依赖性（束和复结构模），当评估世界体积配分函数时，它们伴随着经典指数贡献（包括Kahler模）。在这里，我们使用技术从几何上描述了椭圆纤维Calabi-Yau三倍的理性基曲线上谱束的这些Pfaffians，并提供了一个（部分详尽的）涉及分解（或消失）超势的情况列表。这给出了一个概念性的解释，并概括了以前仅通过数值计算实验得到的少数已知情况。
To understand in detail the contribution of a world-sheet instanton to the superpotential in a heterotic string compactification, one has to understand the moduli dependence (bundle and complex structure moduli) of the one-loop determinants from the fluctuations, which accompany the classical exponential contribution (involving Kahler moduli) when evaluating the world-volume partition function. Here we use techniques to describe geometrically these Pfaffians for spectral bundles over rational base curves in elliptically fibered Calabi-Yau threefolds, and provide a (partially exhaustive) list of cases involving factorising (or vanishing) superpotential. This gives a conceptual explanation and generalisation of the few previously known cases which were obtained just experimentally by a numerical computation.