Noncommutative integrable field theories in 2d
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Publication:1411204
DOI10.1016/j.nuclphysb.2003.09.014zbMath1058.81722arXivhep-th/0211193OpenAlexW2086820322MaRDI QIDQ1411204
I. Cabrera-Carnero, M. Moriconi
Publication date: 26 October 2003
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0211193
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Noncommutative geometry methods in quantum field theory (81T75)
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Cites Work
- Two-dimensional exactly and completely integrable dynamical systems
- Divergencies in a field theory on quantum space.
- String theory and noncommutative geometry
- Comments on perturbative dynamics of non-commutative Yang-Mills theory
- Hermitian analyticity, IR/UV mixing and unitarity of noncommutative field theories
- An integrable noncommutative version of the sine-Gordon system
- The spectral theory of a functional-difference operator in conformal field theory
- Noncommutative field theory
- Noncommutative perturbative dynamics
- From noncommutative bosonization to \(S\)-duality
- Space-time noncommutative field theories and unitarity
- On the unitarity problem in space/time noncommutative theories
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