Twisted Conformal Symmetry in Noncommutative Two-Dimensional Quantum Field Theory
arXiv:hep-th/0601056 · doi:10.1103/PhysRevD.73.125020
Abstract
By twisting the commutation relations between creation and annihilation operators, we show that quantum conformal invariance can be implemented in the 2-d Moyal plane. This is an explicit realization of an infinite dimensional symmetry as a quantum algebra.
10 pages. Text enlarged. References added
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Cited by in corpus (26)
- Symmetry, Gravity and Noncommutativity
- On "full" twisted Poincare' symmetry and QFT on Moyal-Weyl spaces
- Twisting all the way: from Classical Mechanics to Quantum Fields
- Numerical simulations of a non-commutative theory: the scalar model on the fuzzy sphere
- kappa-deformed Spacetime From Twist
- Braided quantum field theories and their symmetries
- Noncommutative spacetime symmetries: Twist versus covariance
- On second quantization on noncommutative spaces with twisted symmetries
- Drinfeld Twist and General Relativity with Fuzzy Spaces
- Drinfel'd Twisted Superconformal Algebra and Structure of Unbroken Symmetries
- Stability of a Noncommutative Jackiw-Teitelboim Gravity
- Twisted conformal algebra related to -Minkowski space
- Domain wall solitons and Hopf algebraic translational symmetries in noncommutative field theories
- Heat kernel of non-minimal gauge field kinetic operators on Moyal plane
- The quantum sinh-Gordon model in noncommutative (1+1) dimensions
- Z^0 \to 2γand the Twisted Coproduct of the Poincaré Group
- Deformed Kac-Moody and Virasoro Algebras
- Star Product Geometries
- On the consequences of twisted Poincare' symmetry upon QFT on Moyal noncommutative spaces
- Wilson Loops and Area-Preserving Diffeomorphisms in Twisted Noncommutative Gauge Theory
- Noncommutative Conformal Field Theory in the Twist-deformed context
- On the Correspondence between Poincaré Symmetry of Commutative QFT and Twisted Poincaré Symmetry of Noncommutative QFT
- Time dependent transitions with time-space noncommutativity & its implications in Quantum Optics
- Inverse square problem and so(2,1) symmetry in noncommutative space
- Deformed Kac-Moody Algebra and Noncommutative Fermi Theory in Two-Dimensions
- Nonperturbative deformation of D-brane states by the world sheet noncommutativity