Coset construction of AdS particle dynamics

DOI10.1063/1.4974322zbMath1431.81121arXiv1610.08212OpenAlexW2539778438MaRDI QIDQ2963290

Martin Heinze, Luka Megrelidze, G. P. Dzhordzhadze

Publication date: 13 February 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.08212

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on curved space or space-time backgrounds (81T20) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15) Coadjoint orbits; nilpotent varieties (17B08)

Related Items (5)

Couplings in \(D(2, 1; \alpha)\) superconformal mechanics from the SU(2) perspective ⋮ Super 0-brane action on the coset space of \(D(2, 1; \alpha)\) supergroup ⋮ Quantization of the \(\mathrm{AdS}_{3}\) superparticle on \(\operatorname{OSP}(1 | 2)^2 / \operatorname{SL}(2, \mathbb{R})\) ⋮ Twistor description of spinning particles in AdS ⋮ Superintegrability of geodesic motion on the sausage model

Cites Work

• Integrability and the \(AdS_3/CFT_2\) correspondence
• Many-particle mechanics with \(D(2, 1; {\alpha})\) superconformal symmetry
• Review of AdS/CFT integrability, chapter IV.3: \({\mathcal{N}=6}\) Chern-Simons and strings on AdS\(_{4} \times\) CP\(^{3}\)
• Oscillator quantization of the massive scalar particle dynamics on AdS spacetime
• On the spectrum of the \(\mathrm{AdS}_{5} {\times} S^{5}\) string at large {\(\lambda\)}
• \(N = 2\) supersymmetric particle near extreme Kerr throat
• Stability in gauged extended supergravity
• Spinning strings in \(\text{AdS}_5\times S^5\) and integrable systems
• Light-cone superstring in AdS space-time
• A semi-classical limit of the gauge/string correspondence
• Superconformal \(SU(1, 1|n)\) mechanics
• 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
• Exact spectrum of anomalous dimensions of planar \(N = 4\) supersymmetric Yang-Mills theory: TBA and excited states
• Large \(N\) field theories, string theory and gravity
• Strings on semisymmetric superspaces
• An integrability primer for the gauge-gravity correspondence: an introduction
• Orbit method quantization of the AdS₂superparticle
• On particle dynamics in AdS_N+1 space‐time
• Bosonic string quantization in a static gauge
• Quantization of AdS × S particle in static gauge
• Towards integrability for ${\rm Ad}{{{\rm S}}_{{\bf 3}}}/{\rm CF}{{{\rm T}}_{{\bf 2}}}$
• Isometry group orbit quantization of spinning strings in AdS₃× S³
• Static gauge and energy spectrum of single-mode strings in AdS₅× S⁵
• Green-Schwarz string in \(\text{AdS}_5\times S^5\): Semiclassical partition function

This page was built for publication: Coset construction of AdS particle dynamics