Interpolating the Coulomb phase of little string theory
We study up to 8derivative terms in the Coulomb branch effective action of (1,1) little string theory, by collecting results of 4gluon scattering amplitudes from both perturbative 6D superYangMills theory up to 4loop order, and treelevel double scaled little string theory (DSLST). In previous work we have matched the 6derivative term from the 6D gauge theory to DSLST, indicating that this term is protected on the entire Coulomb branch. The 8derivative term, on the other hand, is unprotected. In this paper we compute the 8derivative 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. As a result, we also comment on analogous interpolating functions in the Coulomb phase of circlecompactified (2,0) little string theory.
 Authors:

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 Harvard Univ., Cambridge, MA (United States)
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
 Publication Date:
 Grant/Contract Number:
 SC0012567
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 12; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; gaugegravity correspondence; scattering amplitudes; supersymmetric gauge theory; superstrings and heterotic strings
 OSTI Identifier:
 1240379
Lin, Ying Hsuan, Shao, Shu Heng, Wang, Yifan, and Yin, Xi. Interpolating the Coulomb phase of little string theory. United States: N. p.,
Web. doi:10.1007/JHEP12(2015)022.
Lin, Ying Hsuan, Shao, Shu Heng, Wang, Yifan, & Yin, Xi. Interpolating the Coulomb phase of little string theory. United States. doi:10.1007/JHEP12(2015)022.
Lin, Ying Hsuan, Shao, Shu Heng, Wang, Yifan, and Yin, Xi. 2015.
"Interpolating the Coulomb phase of little string theory". United States.
doi:10.1007/JHEP12(2015)022. https://www.osti.gov/servlets/purl/1240379.
@article{osti_1240379,
title = {Interpolating the Coulomb phase of little string theory},
author = {Lin, Ying Hsuan and Shao, Shu Heng and Wang, Yifan and Yin, Xi},
abstractNote = {We study up to 8derivative terms in the Coulomb branch effective action of (1,1) little string theory, by collecting results of 4gluon scattering amplitudes from both perturbative 6D superYangMills theory up to 4loop order, and treelevel double scaled little string theory (DSLST). In previous work we have matched the 6derivative term from the 6D gauge theory to DSLST, indicating that this term is protected on the entire Coulomb branch. The 8derivative term, on the other hand, is unprotected. In this paper we compute the 8derivative 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. As a result, we also comment on analogous interpolating functions in the Coulomb phase of circlecompactified (2,0) little string theory.},
doi = {10.1007/JHEP12(2015)022},
journal = {Journal of High Energy Physics (Online)},
number = 12,
volume = 2015,
place = {United States},
year = {2015},
month = {12}
}