Kinks, chains, and loop groups in the CPn sigma models

DOI10.1063/1.3266172zbMath1372.58014arXiv0902.2303OpenAlexW3099312953WikidataQ61833256 ScholiaQ61833256MaRDI QIDQ3583743

Derek Harland

Publication date: 17 August 2010

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

Full work available at URL: https://arxiv.org/abs/0902.2303

zbMATH Keywords

Yang-Mills theorychainsLie algebraskinksloop groupssigma modelstopological solitonsHiggs modelSU(N) theory

Mathematics Subject Classification ID

Model quantum field theories (81T10) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (8)

Non-BPS exact solutions and their relation to bions in \(\mathbb C\mathbb P^{N-1}\) models ⋮ Resurgence in sine-Gordon quantum mechanics: exact agreement between multi-instantons and uniform WKB ⋮ Decoding perturbation theory using resurgence: Stokes phenomena, new saddle points and Lefschetz thimbles ⋮ Dual lattice representations for \(\mathrm{O}(N)\) and \(\mathrm{CP}(N - 1)\) models with a chemical potential ⋮ On supersymmetric interface defects, brane parallel transport, order-disorder transition and homological mirror symmetry ⋮ From 4d Yang-Mills to 2d \(\mathbb{C} {\mathbb{P}}^{N-1}\) model: IR problem and confinement at weak coupling ⋮ Fractional instantons and bions in the \(\mathrm{O}(N)\) model with twisted boundary conditions ⋮ Resurgence and trans-series in quantum field theory: the \(\mathbb{C}{{\mathbb{P}}^{N-1}}\) model

Cites Work

• Periodic monopoles
• Dynamics of \(\mathbb CP^1\) lumps on a cylinder
• Nahm transform and moduli spaces of \(\mathbb{C} P^{N}\)-models on the torus
• Multi-caloron solutions
• Kac-Moody monopoles and periodic instantons
• Calorons, Nahm's equations on \(S^{1}\) and bundles over \({\mathbb{P}^{1} \times \mathbb{P}^{1}}\)
• Instantons in two and four dimensions
• Periodic instantons with non-trivial holonomy
• Unsuppressed fermion-number violation at high temperature: An O(3) model
• Large scale and large period limits of symmetric calorons
• Topological Solitons

This page was built for publication: Kinks, chains, and loop groups in the CPn sigma models