Haldane limits via Lagrangian embeddings

DOI10.1016/j.nuclphysb.2011.10.005zbMath1229.81209arXiv1104.1419OpenAlexW1973886444MaRDI QIDQ659410

Dmitri Bykov

Publication date: 18 January 2012

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.1419

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Path integrals in quantum mechanics (81S40) Continuum limits in quantum field theory (81T27) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Coherent states (81R30) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (13)

Flag manifold sigma models from \(\mathrm{SU}(n)\) chains ⋮ Flag manifold sigma models. Spin chains and integrable theories ⋮ The geometry of antiferromagnetic spin chains ⋮ Corrigendum to ``Generalization of the Haldane conjecture to SU(3) chains ⋮ Winding \(\theta\) and destructive interference of instantons ⋮ Flag manifold $\sigma$-models: the $\frac{1}{N}$-expansion and the anomaly two-form ⋮ Integrable properties of \(\sigma\) -models with non-symmetric target spaces ⋮ Generalization of the Haldane conjecture to \(\mathrm{SU}(n)\) chains ⋮ Phase structure of the twisted \(\mathrm{SU}(3)/\mathrm{U}(1)^2\) flag sigma model on \(\mathbb{R} \times S^1\) ⋮ \(\mathrm{SU}(3)\) knot solitons: Hopfions in the \(F_{2}\) Skyrme-Faddeev-Niemi model ⋮ Dual simulation of the 2d \(\operatorname{U}(1)\) gauge Higgs model at topological angle \(\theta = \pi\): Critical endpoint behavior ⋮ Grassmannian and flag sigma models on interval: phase structure and L-dependence ⋮ Fractional \({\theta}\) angle, 't Hooft anomaly, and quantum instantons in charge-\(q\) multi-flavor Schwinger model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The sigma model on complex projective superspaces
• General concept of quantization
• Comments on operators with large spin
• The worldsheet low-energy limit of the \(AdS_4\times {\mathbb C}P^3\)superstring
• Quantization of symplectic orbits of compact Lie groups by means of the functional integral
• Quantization of flag manifolds and their supersymmetric extensions
• Neighborhood classification of isotropic embeddings
• Topological methods in hydrodynamics
• Non-linear field theory of a frustrated Heisenberg spin chain
• Foundations of the AdS₅× S⁵superstring: I
• New Invariant Einstein Metrics on Generalized Flag Manifolds

This page was built for publication: Haldane limits via Lagrangian embeddings