Interpolating the Coulomb phase of little string theory

Lin, Ying -Hsuan; Shao, Shu -Heng; Wang, Yifan; Yin, Xi

doi:10.1007/JHEP12(2015)022

Title: Interpolating the Coulomb phase of little string theory

Journal Article · Thu Dec 03 00:00:00 EST 2015 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP12(2015)022· OSTI ID:1240379

Lin, Ying -Hsuan ^[1]; Shao, Shu -Heng ^[1]; Wang, Yifan ^[2]; Yin, Xi ^[1]

Harvard Univ., Cambridge, MA (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

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.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0012567

OSTI ID:: 1240379

Journal Information:: Journal of High Energy Physics (Online), Vol. 2015, Issue 12; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 11 works

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Harmonic Superspace Approach to the Effective Action in Six-Dimensional Supersymmetric Gauge Theories Buchbinder, Ioseph; Ivanov, Evgeny; Merzlikin, Boris Symmetry, Vol. 11, Issue 1 https://doi.org/10.3390/sym11010068	journal	January 2019
Little strings and T-duality Kim, Jungmin; Kim, Seok; Lee, Kimyeong arXiv https://doi.org/10.48550/arxiv.1503.07277	text	January 2015

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