Twisting the Mirror TBA
Gleb Arutyunov, Marius de Leeuw, Stijn J. van Tongeren

TL;DR
This paper investigates finite-size effects on magnon dispersion in three integrable models related to AdS/CFT, deriving corrections using TBA and Lüscher's formulas, and providing new predictions for dual gauge theories.
Contribution
It introduces a unified approach to compute finite-size corrections in twisted integrable models, including new predictions for two-particle states in the dual gauge theory.
Findings
Derived one-particle TBA equations for models I and II
Computed leading and next-to-leading finite-size corrections to magnon dispersion
Predicted new finite-size correction results for two-particle states in the sl(2) sector
Abstract
We study finite-size corrections to the magnon dispersion relation in three models which differ from string theory on AdS5 x S5 in their boundary conditions. Asymptotically, this is accomplished by twisting the transfer matrix in a way which manifestly preserves integrability. In model I all world-sheet fields are periodic, whereas model II represents a particular orbifold of AdS5 x S5 and model III is a beta-deformed theory. For models I and II we construct the one-particle TBA equations and use them to determine the leading finite-size correction to the asymptotic Bethe equation. We also make some interesting observations concerning the quantization conditions for the momentum. For the same models we compute the leading and for model II the next-to-leading order finite-size corrections to the asymptotic magnon dispersion relation. Furthermore, we apply L\"uscher's formulae to compute…
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
