Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries

Abstract

We review the role of integrability in the planar spectral problem of four-dimensional superconformal gauge theories besides N=4 SYM. The cases considered include the Leigh-Strassler marginal deformations of N=4 SYM, quiver theories which arise as orbifolds of AdS5xS5 on the dual gravity side, as well as various theories involving open spin chains.

24 pages, see also overview article arXiv:1012.3982, v2: references to other chapters updated, v3: references added, minor clarifications, v4: minor typos fixed, a reference added. Journal version

References in corpus (44)

• Giant Magnons
• Finite-size Effects from Giant Magnons
• Quantum Deformations of the One-Dimensional Hubbard Model
• Small deformations of supersymmetric Wilson loops and open spin-chains
• Connecting giant magnons to the pp-wave: An interpolating limit of $Ad{S}_5\times S^5$
• A study of open strings ending on giant gravitons, spin chains and integrability
• Gauge invariant finite size spectrum of the giant magnon
• Magnons, Classical Strings and beta-Deformations
• Classical Open String Integrability
• Twisting the Mirror TBA
• Finite-size effects in the superconformal beta-deformed N=4 SYM
• Y-system and beta-deformed N=4 Super-Yang-Mills
• Twisted Bethe equations from a twisted S-matrix
• Open Spin Chains in Super Yang-Mills at Higher Loops: Some Potential Problems with Integrability
• Spiky Strings, Giant Magnons and beta-deformations
• Integrable twists in AdS/CFT
• Dilatation operator and the Super Yang-Mills duals of open strings on AdS Giant Gravitons
• Finite-size effect for four-loop Konishi of the beta-deformed N=4 SYM
• Single impurity operators at critical wrapping order in the beta-deformed N=4 SYM
• Higher Loop Bethe Ansatz for Open Spin-Chains in AdS/CFT
• Comments on the Boundary Scattering Phase
• Yangian symmetry of the Y=0 maximal giant graviton
• Reflecting Magnon Bound States
• The Bethe Ansatz Equations for Reflecting Magnons
• Finite size corrections for open strings/open chains in planar AdS/CFT
• Giant magnons and spiky strings on the conifold
• On wrapping corrections to GKP-like operators
• Boundary finite size corrections for multiparticle states and planar AdS/CFT
• Finite-Size Dyonic Giant Magnons in TsT-transformed $Ad{S}_5\times S^5$
• Bethe ansatz equations for open spin chains from giant gravitons
• Gluon Scattering in Deformed N=4 SYM
• Finite size corrections and integrability of $\mathcal{N}=2$ SYM and DLCQ strings on a pp-wave
• Semi-classical Strings in Sasaki-Einstein Manifolds
• On the reflection of magnon bound states
• Issues on magnon reflection
• The Anatomy of Gauge/String Duality in Lunin-Maldacena Background
• Near-flat space limit and Einstein manifolds
• A review of integrable deformations in AdS/CFT
• Strings on the deformed T^{1,1}: giant magnon and single spike solutions
• Zero Modes for the Boundary Giant Magnons
• Is there a tower of charges to be discovered?
• Giant magnons and non-maximal giant gravitons
• Boundary Giant Magnons and Giant Gravitons
• A note on open-chain transfer matrices from q-deformed su(2|2) S-matrices

Cited by in corpus (55)

• An integrable deformation of the AdS_5 x S^5 superstring action
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• Quantum Spectral Curve and the Numerical Solution of the Spectral Problem in AdS5/CFT4
• Towards integrability for AdS3/CFT2
• Integrability of the AdS_5 x S^5 superstring and its deformations
• Quantum Spectral Curve for a Cusped Wilson Line in N=4 SYM
• Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle
• On Marginal Deformations and Non-Integrability
• Non-conformality of gamma_i-deformed N=4 SYM theory
• $Ad{S}_3/CF{T}_2$, finite-gap equations and massless modes
• Integrability in dipole-deformed N=4 super Yang-Mills
• Integrability in N=2 superconformal gauge theories
• Restricted Schur Polynomials for Fermions and integrability in the su(2|3) sector
• The complete one-loop dilatation operator of planar real beta-deformed N=4 SYM theory
• A piece of cake: the ground-state energies in gamma_i-deformed N=4 SYM theory
• Hybrid-NLIE for the AdS/CFT spectral problem
• Operators, Correlators and Free Fermions for SO(N) and Sp(N)
• A basis for large operators in N=4 SYM with orthogonal gauge group
• On the Integrability of Planar N=2 Superconformal Gauge Theories
• Giant gravitons and the emergence of geometric limits in $\beta$-deformations of $\mathcal{N}=4$ SYM
• Nonplanar integrability at two loops
• Yangian Symmetry for the Action of Planar N=4 Super Yang-Mills and N=6 Super Chern-Simons Theories
• A Requiem for $Ad{S}_4\times \mathbb{C}{P}^3$ Fermionic self-T-duality
• Y-system for Y=0 brane in planar AdS/CFT
• Numerical results for the exact spectrum of planar AdS4/CFT3
• Beyond the Planar Limit in ABJM
• D1 and D5-brane giant gravitons on $Ad{S}_3\times S^3\times S^3\times S^1$
• Simplifying one-loop amplitudes in superstring theory
• Bethe ansatz for an AdS/CFT open spin chain with non-diagonal boundaries
• String integrability of the ABJM defect
• Chaotic spin chains in AdS/CFT
• The Integrable (Hyper)eclectic Spin Chain
• D-branes in $\lambda$-deformations
• Dynamical Spin Chains in 4D $\mathcal{N}=2$ SCFTs
• Open Spin Chains from Determinant Like Operators in ABJM Theory
• Note on Integrability of Marginally Deformed ABJ(M) Theories
• Holographic Cusped Wilson loops in $q$-deformed $Ad{S}_5\times S^5$ Spacetime
• Fast spinning strings on $\eta$ deformed $Ad{S}_5\times S^5$
• Finite-size effects of beta-deformed AdS_5/CFT_4 at strong coupling
• Large-Spin Expansions of GKP Strings
• Boost generator in AdS_3 integrable superstrings for general braiding
• Y-system for $\gamma$-deformed ABJM Theory
• On integrable boundaries in the 2 dimensional $O(N)$ $\sigma$-models
• Untwisting the symmetries of $\beta$-deformed Super-Yang--Mills
• Integrability of Orbifold ABJM Theories
• Four-loop anomalous dimensions in Leigh-Strassler deformations
• Marginal deformations and quasi-Hopf algebras
• Contour deformation trick in hybrid NLIE
• One-Loop Partition Functions in Deformed $\mathcal{N}=4$ SYM Theory
• Multi-Spin Strings in AdS_4*CP^3 and its β-deformation
• Spin chains with boundary inhomogeneities
• Fusion for AdS/CFT boundary S-matrices
• Generalised cusp anomalous dimension in beta-deformed super Yang Mills theory
• Spin-$s$ $Q$-systems: Twist and Open Boundaries