Integrable deformations of sine-Liouville conformal field theory and duality

DOI10.3842/SIGMA.2017.080zbMath1388.16035arXiv1705.06424OpenAlexW2616142953MaRDI QIDQ1680629

Vladimir A. Fateev

Publication date: 16 November 2017

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.06424

zbMATH Keywords

integrabilitydualityRicci flow

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Methods of quantum field theory in general relativity and gravitational theory (83C47) Yang-Baxter equations (16T25)

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Cites Work

• Unnamed Item
• Unnamed Item
• Integrability of the bi-Yang-Baxter \(\sigma\)-model
• Winding vacuum energies in a deformed \(\operatorname{O}(4)\) sigma model
• The large \(N\) limit of superconformal field theories and supergravity
• Anti de Sitter space and holography
• Affine Toda field theory and exact \(S\)-matrices
• Exact \(S\)-matrices for non-simply-laced affine Toda theories
• The large-\(N\) limit of superconformal field theories and supergravity
• Integrable deformations of affine Toda theories and duality
• Integrable Hamiltonian systems and interactions through quadratic constraints
• The sigma model (dual) representation for a two-parameter family of integrable quantum field theories
• Conformal bootstrap in Liouville field theory
• Integrable deformations of the \(\text{O}(3)\) sigma model. The sausage model
• Electric-magnetic duality, monopole condensation, and confinement in \(N=2\) supersymmetric Yang-Mills theory
• DUALITY IN GAUGED WZW MODELS
• String theory and black holes
• An eigenvalue problem related to the non-linear  -model: analytical and numerical results
• Unified approach to strings and vortices with soliton solutions
• Nonlinear integral equations for the sausage model