Twisting perturbed parafermions

Abstract

The near-collinear expansion of scattering amplitudes in maximally supersymmetric Yang-Mills theory at strong coupling is governed by the dynamics of stings propagating on the five sphere. The pentagon transitions in the operator product expansion which systematize the series get reformulated in terms of matrix elements of branch-point twist operators in the two-dimensional O(6) nonlinear sigma model. The facts that the latter is an asymptotically free field theory and that there exists no local realization of twist fields prevents one from explicit calculation of their scaling dimensions and operator product expansion coefficients. This complication is bypassed making use of the equivalence of the sigma model to the infinite-level limit of WZNW models perturbed by current-current interactions, such that one can use conformal symmetry and conformal perturbation theory for systematic calculations. Presently, to set up the formalism, we consider the O(3) sigma model which is reformulated as perturbed parafermions.

16 pages, 4 figures

References in corpus (8)

• Gluon scattering amplitudes at strong coupling
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• On the collinear limit of scattering amplitudes at strong coupling
• The importance of the Selberg integral
• Expectation values of twist fields and universal entanglement saturation of the free massive boson
• The contribution of scalars to $\mathcal{N}=4$ SYM amplitudes
• Nonperturbative enhancement of superloop at strong coupling
• Thermodynamics of QCD-inspired theories

Cited by in corpus (3)

• The contribution of scalars to $\mathcal{N}=4$ SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling
• Vacuum expectation value of twist fields
• Spectral determinants for twist field correlators