ABJM -Bremsstrahlung at four loops and beyond: non-planar corrections
arXiv:1709.10092 · doi:10.1007/JHEP11(2017)166
Abstract
We consider the Bremsstrahlung function associated to a 1/6-BPS Wilson loop in ABJM theory, with a cusp in the couplings to scalar fields. We non-trivially extend its recent four-loop computation at weak coupling to include non-planar corrections. We have recently proposed a conjecture relating this object to supersymmetric circular Wilson loops with multiple windings, which can be computed via localization. We find agreement between this proposal and the perturbative computation of the Bremsstrahlung function, including color sub-leading corrections. This supports the conjecture and hints at its validity beyond the planar approximation.
22 pages
References in corpus (11)
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Fractional M2-branes
- Algorithm FIRE -- Feynman Integral REduction
- FIRE5: a C++ implementation of Feynman Integral REduction
- Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual
- Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
- BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
- Towards the exact Bremsstrahlung function of ABJM theory
- On the Casimir scaling violation in the cusp anomalous dimension at small angle
- Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM
- ABJ(M) Chiral Primary Three-Point Function at Two-loops