Integrable noncommutative sine-Gordon model

DOI10.1016/j.nuclphysb.2004.10.050zbMath1119.81331arXivhep-th/0406065OpenAlexW2084268277MaRDI QIDQ874554

Alexander D. Popov, Laura Tamassia, Olaf Lechtenfeld, Liuba Mazzanti, Silvia Penati

Publication date: 10 April 2007

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

Full work available at URL: https://arxiv.org/abs/hep-th/0406065

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Yang-Mills and other gauge theories in quantum field theory (81T13) Noncommutative geometry methods in quantum field theory (81T75) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (18)

Isospectral Hamiltonians from Moyal products ⋮ Integrable discretisations for a class of nonlinear Schrödinger equations on Grassmann algebras ⋮ Gauge theory on twist-noncommutative spaces ⋮ An integrable noncommutative generalization of the AB system and its multisoliton solutions ⋮ Exact solutions of the noncommutative and commutative nonlinear Schrödinger equation in 2 + 1 dimensions ⋮ Scattering of noncommutative waves and solitons in a supersymmetric chiral model in \(2 + 1\) dimensions ⋮ The quantum sinh-Gordon model in noncommutative \((1+1)\) dimensions ⋮ DARBOUX TRANSFORMATION AND MULTI-SOLITON SOLUTIONS OF A NONCOMMUTATIVE SINE–GORDON SYSTEM ⋮ Time-space noncommutative abelian solitons ⋮ Matrix models and D-branes in twistor string theory ⋮ Noncommutative coupled complex modified Korteweg–de Vries equation: Darboux and binary Darboux transformations ⋮ On the \(3D\) consistency of a Grassmann extended lattice Boussinesq system ⋮ Noncommutative Wess-Zumino-Witten actions and their Seiberg-Witten invariance ⋮ TWISTED BOSONIZATION IN TWO-DIMENSIONAL NONCOMMUTATIVE SPACETIME ⋮ The noncommutative sine-Gordon breather ⋮ A noncommutative coupled dispersionless system, Darboux transformation and explicit solutions ⋮ Noncommutative sine‐Gordon model ⋮ Matrix solutions of a noncommutative KP equation and a noncommutative mKP equation

Cites Work

• Non-Abelian bosonization in two dimensions
• Classical solutions of the chiral model, unitons, and holomorphic vector bundles
• Super-matrix KdV and super-generalized NS equations from self-dual Yang-Mills systems with supergauge groups
• Noncommutative integrable field theories in 2d
• An integrable noncommutative version of the sine-Gordon system
• Non-abelian bosonization in two and three dimensions
• HIDDEN SYMMETRIES OF THE OPEN N=2 STRING
• Self-Dual Yang–Mills Equations and Integrable Reductions
• Solutions of the modified chiral model in (2+1) dimensions
• Noncommutative Burgers equation
• Interaction of noncommutative plane waves in (2 $plus$ 1) dimensions
• Automorphisms of associative algebras and noncommutative geometry
• A New Approach to Noncommutative Soliton Equations
• Noncommutative instantons and solitons
• NONCOMMUTATIVE EXTENDED WAVES AND SOLITON-LIKE CONFIGURATIONS IN N = 2 STRING THEORY
• The spectral theory of a functional-difference operator in conformal field theory
• Four-dimensional avatars of two-dimensional RCFT
• Anti-self-dual Yang-Mills equations on noncommutative space-time
• Restrictions on gauge groups in noncommutative gauge theory
• Space-time noncommutative field theories and unitarity
• Open \(N=2\) strings in a \(B\)-field background and noncommutative self-dual Yang-Mills

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