Finite-size effect of \eta-deformed AdS_5 x S^5 at strong coupling

TL;DR

This paper calculates finite-size corrections for giant magnons in the ta-deformed AdS_5 x S^5 at strong coupling, confirming the S-matrix's role in describing world-sheet excitations.

Contribution

It provides the first computation of Luscher corrections in the ta-deformed background at strong coupling and confirms the S-matrix's validity in this setting.

Findings

Luscher corrections match the finite-size string state effects

The ta-deformed S-matrix accurately describes world-sheet excitations

Supports the integrability of the ta-deformed AdS/CFT correspondence

Abstract

We compute Luscher corrections for a giant magnon in the \eta-deformed (AdS_5\times S^5)_{\eta} using the su(2|2)_q-invariant S-matrix at strong coupling and compare with the finite-size effect of the corresponding string state, derived previously. We find that these two results match and confirm that the su(2|2)_q-invariant S-matrix is describing world-sheet excitations of the \eta-deformed background.