Classical and quantum integrability in \(\mathrm{AdS}_2/\mathrm{CFT}^1\)

DOI10.1007/JHEP01(2013)047zbMath1342.81461arXiv1209.6062MaRDI QIDQ302584

Jeff Murugan, Per Sundin, Linus Wulff

Publication date: 12 August 2016

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.6062

zbMATH Keywords

AdS-CFT correspondenceintegrable field theoriessuperstrings and heterotic strings

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items

Integrable S-matrices, massive and massless modes and the \(\mathrm{AdS}_{2} \times S^{2}\) superstring ⋮ Worldsheet scattering in \(\mathrm{AdS}_3/\mathrm{CFT}_2\) ⋮ The \(\mathrm{AdS}_n \times S^n \times T^{10-2n}\) BMN string at two loops ⋮ Infinite-dimensional R-matrices for the relativistic scattering of massless modes on \(\mathrm{AdS}_2\) ⋮ The complete worldsheet S matrix of superstrings on \(\mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathrm{T}^4\) with mixed three-form flux ⋮ A study of integrable form factors in massless relativistic \(AdS_2\) ⋮ On $\boldsymbol {AdS_2/CFT_1}$ transfer matrices, Bethe ansatz and scale invariance ⋮ Massless \(\mathrm{AdS}_{2}\) scattering and Bethe ansatz ⋮ Free fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT ⋮ Classical integrability and quantum aspects of the AdS\(_3\times S^3\times S^3\times S^1\) superstring ⋮ Scattering in \(\mathrm{AdS}_2/\mathrm{CFT}_1\) and the BES phase ⋮ Geometry of massless scattering in integrable superstring

Cites Work

• Strings in \(\mathrm{AdS}_4\times\mathbb CP^3\): finite size spectrum vs. Bethe ansatz
• Integrability and the \(AdS_3/CFT_2\) correspondence
• Full Lagrangian and Hamiltonian for quantum strings on AdS\({}_4 \times \text{C}P^3\) in a near plane wave limit
• On the worldsheet theory of the type IIA \(\text{AdS}_4 \times \mathbb{CP}_3\) superstring
• Quantum strings and the AdS\({}_{4}\)/CFT\({}_{3}\) interpolating function
• \(\mathcal N= 6\) superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• The \(\mathrm{AdS}_4 \times \mathbb C\mathbb P_3\) string and its Bethe equations in the near plane wave limit
• Superstrings on \(AdS_4\times\mathbb{CP}^3\) as a coset sigma-model
• \(AdS_{4}/CFT_{3}\) at one loop
• Integrability, spin-chains and the AdS\({}_{3}\)/CFT\({}_{2}\) correspondence
• Gauge theory correlators from non-critical string theory
• Algebraic curves for integrable string backgrounds
• The algebraic curve of classical superstrings on \(\mathrm{AdS}_{5} \times S^{5}\)
• Holography beyond the Penrose limit
• Higher impurity AdS/CFT correspondence in the near-BMN limit
• \(N\)-impurity superstring spectra near the pp-wave limit
• World-sheet scattering in \(\mathrm{AdS}_5\times S^5\) at two loops
• Spinning strings at one-loop in \(\mathrm{AdS}_4\times\mathbb P^3\)
• Green-Schwarz action for type IIA strings on \(AdS_{4}\times CP^{3}\)
• The \(SU(2)\times SU(2)\) sector in the string dual of \({\mathcal N}=6\) superconformal Chern-Simons theory
• Finite-size corrections in the \(\mathrm{SU}(2)\times \mathrm{SU}(2)\) sector of type IIA string theory on \(\mathrm{AdS}_4\times\mathbb CP^3\)
• The large \(N\) limit of superconformal field theories and supergravity
• Anti de Sitter space and holography
• Type IIB superstring action in \(\text{AdS}_5\times S^5\) background
• Super \(0\)-brane and GS superstring actions on \(\text{AdS}_2\times S^2\)
• Superstring theory on \(\text{AdS}_2\times S^2\) as a coset supermanifold
• \(T\)-duality in the Green-Schwarz formalism, and the massless/massive IIA duality map
• \(\text{AdS}_2\) quantum gravity and string theory
• Anti-de Sitter fragmentation
• Near BMN dynamics of the \(\mathrm{AdS}_3\times S^3\times S^3\times S^1\) superstring
• Classical integrability and quantum aspects of the AdS\(_3\times S^3\times S^3\times S^1\) superstring
• Intersecting \(M\)-branes as four-dimensional black holes
• More on integrable structures of superstrings in \(\operatorname{AdS}_{4} \times\mathbb{CP}^{3}\) and \(\operatorname{AdS}_{2} \times S^{2} \times T^{6}\) superbackgrounds
• Large \(N\) field theories, string theory and gravity
• ELIMINATING AMBIGUITIES FOR QUANTUM CORRECTIONS TO STRINGS MOVING IN AdS₄×ℂℙ³
• The near-flat-space and BMN limits for strings inAdS₄×CP³at one loop
• The AdS₅× S⁵superstring in light-cone gauge and its Bethe equations
• Foundations of the AdS₅× S⁵superstring: I
• On dilaton dependence of type II superstring action
• The generalized cusp in ${ {\rm AdS}}_4\times \mathbb {C}{ {\rm P}}^3$ and more one-loop results from semiclassical strings
• Comments on world-sheet form factors in AdS/CFT
• Black holes and Calogero models