Flag manifold sigma models. Spin chains and integrable theories
From MaRDI portal
Publication:2127421
DOI10.1016/j.physrep.2021.09.004zbMath1494.81008arXiv2101.11638OpenAlexW4210623417MaRDI QIDQ2127421
Publication date: 20 April 2022
Published in: Physics Reports (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.11638
flag manifoldRicci flowcoherent statessigma modelintegrable modelspin chaingeometric quantizationGross-Neveu modelsupersymmetric sigma model't Hooft anomaly\(\mathrm{PSU}(n)\) bundleHaldane conjectures
Grassmannians, Schubert varieties, flag manifolds (14M15) Renormalization group methods in equilibrium statistical mechanics (82B28) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Coherent states (81R30) Geometry and quantization, symplectic methods (81S10) Supersymmetry and quantum mechanics (81Q60) Constrained dynamics, Dirac's theory of constraints (70H45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Special quantum systems, such as solvable systems (81Q80)
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Wilson loop in general representation and RG flow in 1D defect QFT, 3-dimensional mixed BF theory and Hitchin's integrable system, Peculiarities of beta functions in sigma models, On supersymmetric interface defects, brane parallel transport, order-disorder transition and homological mirror symmetry, Quantum flag manifold \(\sigma \)-models \textit{and} Hermitian Ricci flow, Classical Yang-Baxter equation, Lagrangian multiforms and ultralocal integrable hierarchies
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