The \(\mathrm{AdS}_4 \times \mathbb C\mathbb P_3\) string and its Bethe equations in the near plane wave limit

DOI10.1088/1126-6708/2009/02/046zbMath1245.81226arXiv0811.2775OpenAlexW3100246389MaRDI QIDQ440523

Per Sundin

Publication date: 18 August 2012

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

Full work available at URL: https://arxiv.org/abs/0811.2775

zbMATH Keywords

bosonic type IIA string theory

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) 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

Classical and quantum integrability in \(\mathrm{AdS}_2/\mathrm{CFT}^1\), Strings in \(\mathrm{AdS}_4\times\mathbb CP^3\): finite size spectrum vs. Bethe ansatz, On the absence of reflection in \(\text{AdS}_{4}/\text{CFT}_{3}\), 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, \(AdS_4 \times {\mathbb CP}^3\) Superstring in the light-cone gauge, Generalized dynamical spin chain and 4-loop integrability in \({\mathcal N}=6\) superconformal Chern-Simons theory, Review of AdS/CFT integrability, chapter IV.3: \({\mathcal{N}=6}\) Chern-Simons and strings on AdS\(_{4} \times\) CP\(^{3}\), Symmetry algebra of the \(\text{AdS}_{4}\times \mathbb {CP}^{3}\) superstring, Finite-size corrections for quantum strings on \( {\text{AdS}_4} \times \mathbb{C}{P^3} \), Y-system, TBA and quasi-classical strings in \(\mathrm{AdS}_{4} \times \mathbb{CP}^{3}\), On the pulsating strings in \(AdS_{4}\times {\mathbb CP}^{3}\), On string integrability: a journey through the two-dimensional hidden symmetries in the Ads/CFT dualities, 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

Cites Work

• \(\mathcal N = 8\) superconformal gauge theories and \(M2\) branes
• 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
• Integrable spin chain of superconformal \(U(M) \times \overline{U(N)}\) Chern-Simons theory
• Superstrings on \(AdS_4\times\mathbb{CP}^3\) as a coset sigma-model
• Semi-classical strings in \(AdS_{4} \times \mathbb C\mathbb P^{3}\)
• \(AdS_{4}/CFT_{3}\) at one loop
• Superconformal Chern-Simons theories and \(AdS_{4}/CFT_{3}\) correspondence
• The Bethe ansatz for superconformal Chern-Simons
• Neumann-Rosochatius integrable system for strings on \(\mathrm{AdS}_{4} \times \mathbb C \mathbb P^3\)
• \(\mathcal N = 6\) super Chern-Simons theory \(S\)-matrix and all-loop Bethe ansatz equations
• Holography beyond the Penrose limit
• Long-range \(\mathfrak{psu}(2,2|4)\) Bethe ansätze for gauge theory and strings
• Genus two partition functions of extremal conformal field theories
• 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 \(\mathrm{AdS}_4\times\mathbb CP^3\)
• Algebraic structures on parallel M2 branes
• The \(su(2| 3)\) dynamic spin chain
• Finite-size effects from giant magnons
• Three-algebras and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>6</mml:mn></mml:math>Chern-Simons gauge theories
• Singularities of the magnon<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>matrix
• Membranes on an Orbifold
• The AdS₅× S⁵superstring in light-cone gauge and its Bethe equations
• The off-shell symmetry algebra of the light-cone AdS₅×S⁵superstring