Sigma models as Gross-Neveu models

DOI10.1134/S0040577921080018zbMath1471.81115arXiv2106.15598OpenAlexW3176612857MaRDI QIDQ2047690

Yanyan Li

Publication date: 23 August 2021

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.15598

zbMATH Keywords

Ricci flowsigma modelintegrable modelquiver varietyGross-Neveu model

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Representations of quivers and partially ordered sets (16G20) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Special quantum systems, such as solvable systems (81Q80) Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows) (53E30) Particle exchange symmetries in quantum theory (general) (81V72)

Related Items (5)

Flag manifold sigma models. Spin chains and integrable theories ⋮ Peculiarities of beta functions in sigma models ⋮ Sigma models as Gross-Neveu models. II ⋮ Quantum flag manifold \(\sigma \)-models \textit{and} Hermitian Ricci flow ⋮ Deformed \(\sigma\)-models, Ricci flow and Toda field theories

Cites Work

• Unnamed Item
• Integrability of the bi-Yang-Baxter \(\sigma\)-model
• The zero-curvature representation for the nonlinear \(O(3)\) sigma-model
• On classical \(q\)-deformations of integrable \(\sigma\)-models
• A survey on symplectic singularities and symplectic resolutions
• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• 4-dimensional black holes from Kaluza-Klein theories
• Variational principle for equations integrable by the inverse problem method
• Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras
• Quantum transfer-matrices for the sausage model
• Complex structures and zero-curvature equations for \(\sigma\)-models
• Integrable Hamiltonian systems and interactions through quadratic constraints
• The sigma model (dual) representation for a two-parameter family of integrable quantum field theories
• The integrable harmonic map problem versus Ricci flow
• Integrable deformations of the \(\text{O}(3)\) sigma model. The sausage model
• On nonlinear \(\sigma\)-models arising in (super-)gravity
• RG flows of integrable \(\sigma \)-models and the twist function
• On the Zakharov-Mikhailov action: 4d Chern-Simons origin and covariant Poisson algebra of the Lax connection
• Integrable 2d sigma models: quantum corrections to geometry from RG flow
• Ultralocal Lax connection for para-complex \(\mathbb{Z}_T\)-cosets
• Flag manifold sigma models and nilpotent orbits
• RG flow of integrable \(\mathcal{E}\)-models
• Integrable interpolations: From exact CFTs to non-abelian T-duals
• Sigma models with local couplings: a new integrability-RG flow connection
• On integrability of the Yang–Baxter σ-model
• Quantum anisotropic sigma and lambda models as spin chains
• New Invariant Einstein Metrics on Generalized Flag Manifolds
• Dimensionally reduced gravity, Hermitian symmetric spaces and the Ashtekar variables
• Integrability in sigma-models
• Gauge Theory and Integrability, I
• Solutions of the classical Yang-Baxter equation for simple Lie algebras

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