Interpolating the Coulomb phase of little string theory
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13130_2015_Article_2652.pdf
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Author(s)
Lin, Ying-Hsuan
Shao, Shu-Heng
Wang, Yifan
Yin, Xi
Date Issued
December 2015
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Lin, Ying-Hsuan et al. “Interpolating the Coulomb Phase of Little String Theory.” Journal of High Energy Physics 2015.12 (2015): n. pag.
Version
Final published version
Abstract
We study up to 8-derivative terms in the Coulomb branch effective action of (1, 1) little string theory, by collecting results of 4-gluon scattering amplitudes from both perturbative 6D super-Yang-Mills theory up to 4-loop order, and tree-level double scaled little string theory (DSLST). In previous work we have matched the 6-derivative term from the 6D gauge theory to DSLST, indicating that this term is protected on the entire Coulomb branch. The 8-derivative term, on the other hand, is unprotected. In this paper we compute the 8-derivative term by interpolating from the two limits, near the origin and near the infinity on the Coulomb branch, numerically from SU(k) SYM and DSLST respectively, for k = 2, 3, 4, 5. We discuss the implication of this result on the UV completion of 6D SYM as well as the strong coupling completion of DSLST. We also comment on analogous interpolating functions in the Coulomb phase of circle-compactified (2, 0) little string theory.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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DOI of Published Version
https://doi.org/10.1007/JHEP12(2015)022
