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

2014/07/31 by Chi‐Ming Chang, Chi-Ming Chang, Ying-Hsuan Lin +3 · 1 citation
Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Combinatorics #Conformal map #Coset #Coulomb #Gluon #Invariant (physics) #Massless particle #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Scattering amplitude #String (physics) #String theory #Supersymmetry #hep-th

paper · pdf · doi:10.1007/jhep12(2014)176

58 pages, 5 figures, 3 tables, comments added, references added

arxiv created 2014/08/05 · openalex publication_date 2014/12/01 · arxiv updated 2015/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

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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