Exact Gravitational Threshold Correction in the FHSV Model
Exact Gravitational Threshold Correction in the FHSV Model
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FHSV 模型中的精确重力阈值校正
DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
G. Moore
中科院分区：
文献类型：
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作者：
J. Harvey;G. Moore
我们认为自守形式，管理的引力阈值校正F1模型的杂合/IIA对偶N = 2超对称性在四维。特别地，我们导出了由费拉拉，Harvey，Strominger和Vafa（FHSV）最初考虑的对偶对的F1的完全非微扰公式.答案涉及到Borcherds构造的一个有趣的自守积，它与“假怪物李超代数”有关。作为这个结果的应用，我们重新导出了Jorgenson & Todorov关于K3曲面上的N-S算子的行列式的一个结果.
We consider the automorphic forms which govern the gravitational threshold correction F 1 in models of heterotic/IIA duality with N = 2 supersymmetry in four dimensions. In particular we derive the full nonperturbative formula for F 1 for the dual pair origi-nally considered by Ferrara, Harvey, Strominger and Vafa (FHSV). The answer involves an interesting automorphic product constructed by Borcherds which is associated to the “fake Monster Lie superalgebra.” As an application of this result we rederive a result of Jorgenson & Todorov on determinants of ¯ ∂ operators on K 3 surfaces.