Observations on open and closed string scattering amplitudes at high energies
Observations on open and closed string scattering amplitudes at high energies
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DOI：
10.1007/jhep02(2012)111
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发表时间：
2011-08
影响因子：
5.4
通讯作者：
Paweł Caputa;S. Hirano
中科院分区：
文献类型：
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作者：
Paweł Caputa;S. Hirano
本文研究了高能下平坦空间中无质量开弦和闭弦散射的振幅。类似于AdS空间的情况，我们证明了，在T-对偶映射下，开弦振幅由负极小表面积的指数给出，其边界是由类光动量矢量形成的尖闭环。我们进一步证明了闭弦振幅是通过将极小曲面的两个副本沿着其尖点类光边界粘合而得到的。这可以被认为是Kawai-Lewellen-Tye（KLT）关系在高能量下的表现。我们还讨论了AdS/CFT中的KLT关系及其与超引力中振幅的可能联系以及相关器/振幅对偶性。
We study massless open and closed string scattering amplitudes in flat space at high energies. Similarly to the case of AdS space, we demonstrate that, under the T-duality map, the open string amplitudes are given by the exponential of minus minimal surface areas whose boundaries are cusped closed loops formed by lightlike momentum vectors. We show further that the closed string amplitudes are obtained by gluing two copies of minimal surfaces along their cusped lightlike boundaries. This can be thought of as a manifestation of the Kawai-Lewellen-Tye (KLT) relation at high energies. We also discuss the KLT relation in AdS/CFT and its possible connection to amplitudes insupergravity as well as the correlator/amplitude duality.