Abstract
Abstract We investigate n-gluon scattering amplitudes in the multi-Regge region of $ \mathcal{N}=4 $ supersymmetric Yang-Mills theory at strong coupling. Through a careful analysis of the thermodynamic bubble ansatz (TBA) for surfaces in AdS 5 with n-g(lu)on boundary conditions we demonstrate that the multi-Regge limit probes the large volume regime of the TBA. In reaching the multi-Regge regime we encounter wall-crossing in the TBA for all n > 6. Our results imply that, in this limit, amplitudes at strong coupling can be calculated through an auxiliary system of algebraic Bethe ansatz equations. Their solutions are expected to determine the strong coupling analogue of Regge cut contributions to the amplitude.
Highlights
Hidden symmetries, such as dual conformal symmetry [1], and the celebrated duality with string theory on AdS5 × S5 [2]
We investigate n-gluon scattering amplitudes in the multi-Regge region of N = 4 supersymmetric Yang-Mills theory at strong coupling
Through a careful analysis of the thermodynamic bubble ansatz (TBA) for surfaces in AdS5 with n-g(lu)on boundary conditions we demonstrate that the multi-Regge limit probes the large volume regime of the TBA
Summary
We discuss the relevant variables and kinematics necessary for the description of 2 → n − 2 scattering in the multi-Regge limit. The multi-Regge limit is characterized by the behavior of a particular set of Mandelstam invariants. The remainder function of scattering amplitudes in N = 4 SYM theory, on the other hand, depends only on very special cross ratios of Mandelstam variables which are invariant under dual conformal symmetry. Our task here is to describe the multi-Regge limit in terms of such cross ratios
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