A review of integrable deformations in AdS/CFT

Understand

Marginal beta deformations of N=4 super-Yang-Mills theory are known to correspond to a certain class of deformations of the S^5 background subspace of type IIB string theory in AdS_5 x S^5.

• An analogous set of deformations of the AdS_5 subspace is reviewed here.
• String energy spectra computed in the near-pp-wave limit of these backgrounds match predictions encoded by discrete, asymptotic Bethe equations, suggesting that the twisted string theory is classically integrable in this regime.
• These Bethe equations can be derived algorithmically by relying on the existence of Lax representations, and on the Riemann-Hilbert interpretation of the thermodynamic Bethe ansatz.