Little string amplitudes (and the unreasonable effectiveness of 6D SYM)

Chi-Ming Chang Jefferson Physical Laboratory, Harvard University, 17 Oxford Street, Cambridge, MA, 02138, U.S.A. Ying-Hsuan Lin Jefferson Physical Laboratory, Harvard University, 17 Oxford Street, Cambridge, MA, 02138, U.S.A. Shu-Heng Shao Jefferson Physical Laboratory, Harvard University, 17 Oxford Street, Cambridge, MA, 02138, U.S.A. Yifan Wang Center for Theoretical Physics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA, 02139, U.S.A. Xi Yin Jefferson Physical Laboratory, Harvard University, 17 Oxford Street, Cambridge, MA, 02138, U.S.A.

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.74006

Journal of High Energy Physics, 2014, (176), 2014.12
We study tree level scattering amplitudes of four massless states in the double scaled little string theory, and compare them to perturbative loop amplitudes in six-dimensional super-Yang-Mills theory. The little string amplitudes are computed from correlators in the cigar coset CFT and in N = 2 minimal models. The results are expressed in terms of integrals of conformal blocks and evaluated numerically in the α ′ expansion. We find striking agreements with up to 2-loop scattering amplitudes of massless gluons in 6D SU(k) SYM at a ℤ_k invariant point on the Coulomb branch. We comment on the issue of UV divergence at higher loop orders in the gauge theory and discuss the implication of our results.
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@inproceedings{chi-ming2014little,
  title={Little string amplitudes (and the unreasonable effectiveness of 6D SYM)},
  author={Chi-Ming Chang, Ying-Hsuan Lin, Shu-Heng Shao, Yifan Wang, and Xi Yin},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220702135404955211502},
  booktitle={Journal of High Energy Physics},
  volume={2014},
  number={176},
  year={2014},
}
Chi-Ming Chang, Ying-Hsuan Lin, Shu-Heng Shao, Yifan Wang, and Xi Yin. Little string amplitudes (and the unreasonable effectiveness of 6D SYM). 2014. Vol. 2014. In Journal of High Energy Physics. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220702135404955211502.
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