Complex projective geometry and quantum projective field theory
DOI10.1007/BF01035459zbMath0852.17028OpenAlexW2076238729MaRDI QIDQ1920531
Publication date: 12 December 1996
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01035459
noncommutative geometryquantum groupsVerma modulesmatrix representations\(q_ R\)-conformal theoriesalgebra of vertex operatorsbasic ideas of quantum projective field theorycentral extension of the Racah-Wigner algebrafields of higher weightsFubini-Veneziano projective fieldsinfinite-dimensional \(R\) matriceslocal projective field algebra of linear operatorslocal projective field algebrasQPFT operator algebrassheaves of associative algebrassheaves of operator algebrassuper-\(q_ R\)-conformal theoriesuniversal covering algebra
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69) Applications of Lie (super)algebras to physics, etc. (17B81) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Axiomatic quantum field theory; operator algebras (81T05)
Related Items (1)
Cites Work
- Exactly solvable models of conformal-invariant quantum field theory in D- dimensional space
- Local conformal field algebras
- Infinite conformal symmetry in two-dimensional quantum field theory
- On the structure of \(L\)-algebra \(L(C \text{vir} )\)
- Quantum Riemann surfaces. I: The unit disc
- On the theory of primitive rings
- Vertex algebras, Kac-Moody algebras, and the Monster
- On the representation of operator algebras of the quantum conformal field theory
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