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摘要翻译：
本文继续由D'Hoker和Phong提出，并由Cacciatori，Dalla Piazza和van Geemen最近提出的程序，即通过构造满足某些因式分解约束的模形式来求手征超弦测度。我们分别在属2和属3中给出了新的表达式，承认了一个简单的推广，然后在属4中给出了一个ansatz，并证明了它满足因式分解约束，给出了一个消失的宇宙常数。我们进一步在某些模形式承认全纯根的条件下，推测了任何属中超弦振幅的一个可能公式。
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英文标题：
《Superstring scattering amplitudes in higher genus》
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作者：
Samuel Grushevsky
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最新提交年份：
2008
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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：
In this paper we continue the program pioneered by D'Hoker and Phong, and recently advanced by Cacciatori, Dalla Piazza, and van Geemen, of finding the chiral superstring measure by constructing modular forms satisfying certain factorization constraints. We give new expressions for their proposed ans\"atze in genera 2 and 3, respectively, which admit a straightforward generalization. We then propose an ansatz in genus 4 and verify that it satisfies the factorization constraints and gives a vanishing cosmological constant. We further conjecture a possible formula for the superstring amplitudes in any genus, subject to the condition that certain modular forms admit holomorphic roots.
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PDF链接：
https://arxiv.org/pdf/0803.3469
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