D6ℛ4 amplitudes in various dimensions
D6ℛ4 amplitudes in various dimensions
复制标题
D6ℛ4 各个维度的振幅
DOI：
10.1007/jhep04(2015)057
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发表时间：
2015
影响因子：
5.4
通讯作者：
B. Pioline
中科院分区：
文献类型：
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作者：
B. Pioline
环面上紧化型弦真空低能有效作用中的四重子耦合受到超对称和u二象性的强烈约束。虽然从u -对偶群的朗兰兹-爱森斯坦级数可以准确地了解到D4和D4的耦合，但对D6的耦合却知之甚少。利用D = 6中的u -对偶群与D = 5中的t -对偶群的符合性，我们提出了在T4上紧化的II型弦理论中的D6 - π - 4耦合的精确公式，即双属模积分加上合适的爱森斯坦级数。同样的模积分计算了在5维中对D6的双环修正，但这里提供了D = 6中已知微扰项的非微扰补全。这一建议依赖于系统地重新分析在D≥3的所有维度中D6的弱耦合和大半径，这填补了一些空白，解决了一些先前研究中的不一致。
A bstractFour-graviton couplings in the low energy effective action of type II string vacua compactified on tori are strongly constrained by supersymmetry and U-duality. While the ℛ4 and D4ℛ4 couplings are known exactly in terms of Langlands-Eisenstein series of the U-duality group, the D6ℛ4 couplings are not nearly as well understood. Exploiting the coincidence of the U-duality group in D = 6 with the T-duality group in D = 5, we propose an exact formula for the D6ℛ4 couplings in type II string theory compactified on T4, in terms of a genus-two modular integral plus a suitable Eisenstein series. The same modular integral computes the two-loop correction to D6ℛ4 in 5 dimensions, but here provides the non-perturbative completion of the known perturbative terms in D = 6. This proposal hinges on a systematic re-analysis of the weak coupling and large radius of the D6ℛ4 in all dimensions D ≥ 3, which fills in some gaps and resolves some inconsistencies in earlier studies.