Six-point gluon scattering amplitudes from $$ {\mathbb{Z}_4} $$ -symmetric integrable model

Abstract

We study six-point gluon scattering amplitudes in N = 4 super Yang-Mills theory at strong coupling by investigating the thermodynamic Bethe ansatz equations of the underlying Z 4 -symmetric integrable model both analytically and numerically.By the conformal field theory (CFT) perturbation, we compute the free energy part of the remainder function with generic chemical potential near the CFT/small mass limit. Combining this with the expansion of the Y-functions, we obtain the remainder function near the small mass limit up to a function of the chemical potential, which can be evaluated numerically. We also find the leading corrections to the remainder function near the large mass limit. We confirm that these results are in good agreement with numerical computations.

Null-polygonal minimal surfaces in AdS4 from perturbed W minimal models

“…For n = 6, this is indeed the case [22], and we argue below that this holds also for n = 7. We expect it to be true for any n ∈ 4Z.…”

“…We can compare this with the above results. To this end, we note that the relation between the Y-and T-functions in this case reads as Y 1 = 1/T 2 , Y 2 = 1/(T 1 ) 2 , and that the Y-functions in [13,22] and those in this paper are inverse to each other,…”

“…, k − 1. The S-matrix of the diagonal scattering between the particles (a, r) and (b, s) is then given by [37] S rs ab (θ; 22) where σ rs := σ r − σ s , and…”

“…In [22], the expansion of the Y-functions for N = 2 was numerically determined up to and including O(l 4/3 ). We can compare this with the above results.…”

“…Since the Wilson loops become regular polygonal in the UV limit, those expansions give an analytic expansion of the remainder function around this regularpolygonal limit. For the analysis in the opposite IR/large-mass regime, see [12,13,[21][22][23][24][25].…”