\(\text{SU} (\infty)\) and the large-\(N\) limit
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Publication:1816169
DOI10.1016/0003-4916(92)90267-PzbMath0875.58007OpenAlexW2045388739MaRDI QIDQ1816169
Publication date: 8 April 1997
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0003-4916(92)90267-p
path integrallarge-\(N\) limit\(\text{SU} (N)\)-invariant theoriesglobally Hamiltonian symplectic diffeomorphisms
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05)
Related Items (3)
Solutions of the generic non-compact Weyl equation ⋮ On emergence in gauge theories at the 't Hooft limit ⋮ \(W_\infty\) and \(w_\infty\) gauge theories and contraction.
Cites Work
- Trigonometric structure constants for new infinite-dimensional algebras
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- Integrable systems from gauged matrix models.
- Quantization and the uniqueness of invariant structures
- \(gl(\infty{})\) and geometric quantization
- Deformation quantization of Heisenberg manifolds
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- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- Lie Group Convolution Algebras as Deformation Quantizations of Linear Poisson Structures
- Infinite-dimensional algebras and a trigonometric basis for the classical Lie algebras
- Area-preserving diffeomorphisms of Riemann surfaces
- Semiclassical Approach to Planar Diagrams
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