Finite-size effects of beta-deformed AdS_5/CFT_4 at strong coupling

TL;DR

This paper calculates finite-size corrections for giant magnons in a beta-deformed AdS_5/CFT_4 setting at strong coupling, confirming results through multiple methods and extending Luscher formulas to twisted boundary conditions.

Contribution

It introduces a generalized Luscher formula for twisted boundary conditions in the beta-deformed background and verifies finite-size corrections via classical, quantum, and algebraic curve methods.

Findings

Finite-size corrections match across different computational approaches.

Generalized Luscher formula successfully incorporates twisted boundary conditions.

Results confirm the consistency of the deformed integrable structure at strong coupling.

Abstract

We compute both classical and quantum finite-size corrections at leading order in the strong coupling limit for the (dyonic) giant magnon in the Lunin-Maldacena background. Based on the exact S-martix conjectured for the deformed theory, we generalize the Luscher formula to include twisted boundary conditions and show that the results match with those derived both by finite-size classical solutions of the giant magnon and by algebraic curve analysis.