Full Lagrangian and Hamiltonian for quantum strings on AdS\({}_4 \times \text{C}P^3\) in a near plane wave limit

DOI10.1007/JHEP04(2010)079zbMath1272.81134arXiv0912.2257OpenAlexW2017232900MaRDI QIDQ367752

Davide Astolfi, Troels Harmark, Gianluca Grignani, Marta Orselli, Valentina Giangreco Marotta Puletti

Publication date: 16 September 2013

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

Full work available at URL: https://arxiv.org/abs/0912.2257

zbMATH Keywords

AdS-CFT correspondencesuperstrings and heterotic stringsPenrose limit and pp-wave background

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Constrained dynamics, Dirac's theory of constraints (70H45) Functional analysis on superspaces (supermanifolds) or graded spaces (46S60)

Related Items (11)

Classical and quantum integrability in \(\mathrm{AdS}_2/\mathrm{CFT}^1\) ⋮ Note on integrability of marginally deformed ABJ(M) theories ⋮ Strings in \(\mathrm{AdS}_4\times\mathbb CP^3\): finite size spectrum vs. Bethe ansatz ⋮ Quantum strings and the AdS\({}_{4}\)/CFT\({}_{3}\) interpolating function ⋮ Review of AdS/CFT integrability, chapter IV.3: \({\mathcal{N}=6}\) Chern-Simons and strings on AdS\(_{4} \times\) CP\(^{3}\) ⋮ Finite-size corrections for quantum strings on \( {\text{AdS}_4} \times \mathbb{C}{P^3} \) ⋮ New Penrose limits and AdS/CFT ⋮ Peculiarities of string theory on AdS₄ × CP³ ⋮ 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 ⋮ On string integrability: a journey through the two-dimensional hidden symmetries in the Ads/CFT dualities ⋮ Complete type IIA superstring action on IIA plane wave background

Cites Work

• Scattering of giant magnons in \(\mathbf{C}{\mathbf{P}}^3\)
• Two-loop spectroscopy of short ABJM operators
• A supermatrix model for \(\mathcal{N} = 6\) super Chern-Simons-matter theory
• One-loop corrections to type IIA string theory in \(AdS_4 \times CP^3\)
• On the worldsheet theory of the type IIA \(\text{AdS}_4 \times \mathbb{CP}_3\) superstring
• The all loop \(AdS_{4}/CFT_{3}\) Bethe ansatz
• \(\mathcal N= 6\) superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Integrable spin chain in superconformal Chern-Simons theory
• The \(\mathrm{AdS}_4 \times \mathbb C\mathbb P_3\) string and its Bethe equations in the near plane wave limit
• The \(AdS_{4}/CFT_{3}\) algebraic curve
• Matching gauge theory and string theory in a decoupling limit of AdS/CFT
• Superstrings on \(AdS_4\times\mathbb{CP}^3\) as a coset sigma-model
• \(AdS_{4}/CFT_{3}\) at one loop
• The Bethe ansatz for superconformal Chern-Simons
• \(\mathcal N = 6\) super Chern-Simons theory \(S\)-matrix and all-loop Bethe ansatz equations
• Generalized dynamical spin chain and 4-loop integrability in \({\mathcal N}=6\) superconformal Chern-Simons theory
• Gauge theory description of compactified pp-waves
• Holography beyond the Penrose limit
• Notes on superconformal Chern-Simons-matter theories
• Finite size giant magnons in the string dual of \(\mathcal N=6\) superconformal Chern-Simons theory
• Finite size giant magnons in the \(\mathrm{SU}(2)\times \mathrm{SU}(2)\) sector of \(\mathrm{AdS}_4\times\mathbb C\mathbb P^3\)
• 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
• Quantizing string theory in AdS\(_5\times S^5\): beyond the pp-wave
• Type IIB superstring action in \(\text{AdS}_5\times S^5\) background
• \(T\)-duality in the Green-Schwarz formalism, and the massless/massive IIA duality map
• Near horizon superspace
• Type IIA string and matrix string on \(pp\)-wave
• String instanton in \(\mathrm{AdS}_{4} \times\mathbb{CP}^{3}\)
• PURE SPINOR FORMALISM FOR ${\rm Osp}({\mathcal N}\vert 4)$ BACKGROUNDS
• Magnon dispersion to four loops in the ABJM and ABJ models
• Two-loop integrability of planar {\cal N}=6 superconformal Chern–Simons theory

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