SU3 coherent state operators and invariant correlation functions and their quantum group counterparts

DOI10.1063/1.531100zbMath0838.17037arXivhep-th/9409027OpenAlexW2003843346MaRDI QIDQ4836957

H. Sazdjian, Yassen S. Stanev, Ivan T. Todorov

Publication date: 4 June 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9409027

zbMATH Keywords

coherent state vectors\(q\)-deformed algebra of functionscoherent state operatorinvariant \(n\)-point functionnoncommutative quantum coset spacequantum Borel subgroupquantum coherent state vectorsquantum group deformation

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81) Coherent states (81R30)

Related Items (3)

Coherent states for Hopf algebras. ⋮ Representations of 𝒰h (𝔰𝔲(N) ) derived from quantum flag manifolds ⋮ Unnamed Item

Cites Work

• \(U_q(\mathrm{sl}(2))\) invariant operators and minimal theories fusion matrices
• q-Weyl group and a multiplicative formula for universal R-matrices
• An analogue of P.B.W. theorem and the universal R-matrix for \(U_ h\mathfrak{sl}(N+1)\)
• Twisted canonical anticommutation relations
• On the universal \(R\)-matrix for \(U_ q(sl_{r+1})\)
• Coherent state operators and \(n\)-point invariants for \(U_ q ( sl (2))\)
• Duality and quantum groups
• Coherent states for arbitrary Lie group
• Crystalizing the q-analogue of universal enveloping algebras
• $\widehat{{\rm su}}\left( 3 \right)_k $ FUSION COEFFICIENTS
• Canonical Bases Arising from Quantized Enveloping Algebras. II

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