摘要翻译：
我们证明了在Cacciatori,Dalla Piazza,van Geemen-Grushevsky ansatz的手征测度框架下，最近推测的超弦三点振幅表达式在三个环上没有消失，这与非重整化定理的期望相反。基于类似的双环计算，我们讨论了对振幅进行非平凡校正的可能性，并提出了这种贡献的自然候选者。由于一个新的显着恒等式，我们可以合理地期望校正后的三点振幅在三环处消失，从而恢复与非重整化定理的一致性。
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英文标题：
《Superstring measure and non-renormalization of the three-point amplitude》
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作者：
Marco Matone and Roberto Volpato
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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：
  We show that a recently conjectured expression for the superstring three-point amplitude, in the framework of the Cacciatori, Dalla Piazza, van Geemen - Grushevsky ansatz for the chiral measure, fails to vanish at three-loop, in contrast with expectations from non-renormalization theorems. Based on analogous two-loop computations, we discuss the possibility of a non-trivial correction to the amplitude and propose a natural candidate for such a contribution. Thanks to a new remarkable identity, it is reasonable to expect that the corrected three-point amplitude vanishes at three-loop, recovering the agreement with non-renormalization theorems.
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PDF链接：
https://arxiv.org/pdf/0806.4370