论文标题

D3-Brane循环振幅来自M5-Brane树振幅

D3-Brane Loop Amplitudes from M5-Brane Tree Amplitudes

论文作者

Wen, Congkao, Zhang, Shun-Qing

论文摘要

我们研究了探针D3-Brane的世界体积理论中散射幅度的循环校正,该理论由超对称性狄拉克出生的智能理论描述。我们表明,可以从探针M5-Brane(或D5-Brane)的世界体积理论中获得D3-Brane Loop超级增压。 M5-Brane理论描述了带有$(2,0)$ supersymmetry的Abelian Tensor Supermultiplet的自我互动,而Twistor公式给出了树级的超级增压。我们将构造应用于D3-Brane理论中的最大甲基侵略性(MHV)幅度,以一环阶,这是纯粹是理性术语(除了四点振幅除外)。通过广义单位方法进一步证实了结果。通过对M5-Brane树级超级增压的超对称性降低,我们还对非苏匹配D3-Brane振幅构建了一环校正,这与文献中已知的结果一致。

We study loop corrections to scattering amplitudes in the world-volume theory of a probe D3-brane, which is described by the supersymmetric Dirac-Born-Infeld theory. We show that the D3-brane loop superamplitudes can be obtained from the tree-level superamplitudes in the world-volume theory of a probe M5-brane (or D5-brane). The M5-brane theory describes self-interactions of an abelian tensor supermultiplet with $(2,0)$ supersymmetry, and the tree-level superamplitudes are given by a twistor formula. We apply the construction to the maximally-helicity-violating (MHV) amplitudes in the D3-brane theory at one-loop order, which are purely rational terms (except for the four-point amplitude). The results are further confirmed by generalised unitarity methods. Through a supersymmetry reduction on the M5-brane tree-level superamplitudes, we also construct one-loop corrections to the non-supersymmetric D3-brane amplitudes, which agree with the known results in the literature.

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