Wrapping interactions and a new source of corrections to the spin-chain/string duality

TL;DR

This paper explores potential new corrections to the spin-chain/string duality in AdS/CFT, arising from virtual particles, which challenge the accuracy of Bethe ansatz quantization, especially at weak coupling.

Contribution

It introduces a novel source of corrections from virtual particles, expanding the understanding of integrability and the Bethe ansatz in the AdS/CFT framework.

Findings

Corrections behave like wrapping interactions at weak coupling.

Virtual particles induce modifications to Bethe ansatz conditions.

Corrections are analyzed at both weak and strong coupling in the near BMN limit.

Abstract

Assuming that the world-sheet sigma-model in the AdS/CFT correspondence is an integrable {\em quantum} field theory, we deduce that there might be new corrections to the spin-chain/string Bethe ansatz paradigm. These come from virtual particles propagating around the circumference of the cylinder and render Bethe ansatz quantization conditions only approximate. We determine the nature of these corrections both at weak and at strong coupling in the near BMN limit, and find that the first corrections behave qualitatively as wrapping interactions at weak coupling.