Braided geometry of the conformal algebra
Copyright policy )Braided geometry of the conformal algebra
We show that the action of the special conformal transformations of the usual (undeformed) conformal group is the q→1 scaling limit of the braided adjoint action or R-commutator of q-Minkowski space on itself. We also describe the q-deformed conformal algebra in R-matrix form and its quasi-* structure.
- University of Cambridge United Kingdom
- IE University Spain
- Department of Applied Mathematics & Theoretical Physics DAMTP University of Cambridge
- Harvard University United States
\(q\)-conformal algebra, \(R\)-commutator, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, \(q\)-Poincaré algebra, Applications of functional analysis in quantum physics, \(q\)-Minkowski space, Applications of selfadjoint operator algebras to physics, quasi-\(*\) structure, double-bosonizations, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), bosonization, Quantum groups and related algebraic methods applied to problems in quantum theory, \(R\)-matrix
\(q\)-conformal algebra, \(R\)-commutator, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, \(q\)-Poincaré algebra, Applications of functional analysis in quantum physics, \(q\)-Minkowski space, Applications of selfadjoint operator algebras to physics, quasi-\(*\) structure, double-bosonizations, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), bosonization, Quantum groups and related algebraic methods applied to problems in quantum theory, \(R\)-matrix
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