Supersymmetric quantum mechanics of the flux tube
arXiv:1604.00418 · doi:10.1016/j.nuclphysb.2016.10.002
Abstract
The Operator Product Expansion approach to scattering amplitudes in maximally supersymmetric gauge theory operates in terms of pentagon transitions for excitations propagating on a color flux tube. These obey a set of axioms which allow one to determine them to all orders in 't Hooft coupling and confront against explicit calculations. One of the simplifying features of the formalism is the factorizability of multiparticle transitions in terms of single-particle ones. In this paper we extend an earlier consideration of a sector populated by one kind of excitations to the case of a system with fermionic as well as bosonic degrees of freedom to address the origin of the factorization. While the purely bosonic case was analyzed within an integrable noncompact open-spin chain model, the current case is solved in the framework of a supersymmetric sl(2|1) magnet. We find the eigenfunctions for the multiparticle system making use of the R-matrix approach. Constructing resulting pentagon transitions, we prove their factorized form. The discussion corresponds to leading order of perturbation theory.
43 pages, 8 figures
References in corpus (12)
- Gluon scattering amplitudes at strong coupling
- MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
- The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
- Space-time S-matrix and Flux-tube S-matrix IV. Gluons and Fusion
- OPE for all Helicity Amplitudes
- On the collinear limit of scattering amplitudes at strong coupling
- OPE for all Helicity Amplitudes II. Form Factors and Data Analysis
- Asymptotic Bethe Ansatz on the GKP vacuum as a defect spin chain: scattering, particles and minimal area Wilson loops
- On factorization of multiparticle pentagons
- Baxter equation for long-range SL(2|1) magnet
- Nonperturbative enhancement of superloop at strong coupling
- Towards NMHV amplitudes at strong coupling