A review of integrable deformations in AdS/CFT

Abstract

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. This letter is a review of a seminar given at the Institute for Advanced Study, based on research completed in collaboration with McLoughlin.

16 pages; Seminar review written for the `Brief Reviews' section of Mod. Phys. Lett. A: [http://www.worldscinet.com/mpla/mpla.shtml]

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• N-Impurity Superstring Spectra Near the pp-Wave Limit
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Cited by in corpus (9)

• Review of AdS/CFT Integrability: An Overview
• Integrability of the AdS_5 x S^5 superstring and its deformations
• Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries
• The spectral problem for strings on twisted AdS_5 x S^5
• Spiky Strings, Giant Magnons and beta-deformations
• Notes on beta-deformations of the pure spinor superstring in AdS(5) x S(5)
• On the anatomy of multi-spin magnon and single spike string solutions
• D1-brane in beta-Deformed Background
• Spin chains and classical strings in two parameters $q$-deformed AdS${}_3\times$S${}^3$