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Title: Interpolating the Coulomb phase of little string theory

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. As a result, we also comment on analogous interpolating functions in the Coulomb phase of circle-compactified (2,0) little string theory.
Authors:
 [1] ;  [1] ;  [2] ;  [1]
  1. Harvard Univ., Cambridge, MA (United States)
  2. 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 1029-8479
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) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; gauge-gravity 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 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. As a result, we also comment on analogous interpolating functions in the Coulomb phase of circle-compactified (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}
}