Implementation of Conformal Covariance by Diffeomorphism Symmetry
Copyright policy )Implementation of Conformal Covariance by Diffeomorphism Symmetry
Every locally normal representation of a local chiral conformal quantum theory is covariant with respect to global conformal transformations, if this theory is diffeomorphism covariant in its vacuum representation. The unitary, strongly continuous representation implementing conformal symmetry is constructed; it consists of operators which are inner in a global sense for the representation of the quantum theory. The construction is independent of positivity of energy and applies to all locally normal representations irrespective of their statistical dimensions (index).
11 pages,no figures
- University of Göttingen Germany
- Universität Hamburg Germany
- University of Rome Tor Vergata Italy
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, FOS: Physical sciences, Mathematical Physics (math-ph), conformal field theory, diffeomorphism symmetry, 81T40, 81T05, 81R10, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Axiomatic quantum field theory; operator algebras, implementation of Moebius groups, Mathematical Physics
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, FOS: Physical sciences, Mathematical Physics (math-ph), conformal field theory, diffeomorphism symmetry, 81T40, 81T05, 81R10, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Axiomatic quantum field theory; operator algebras, implementation of Moebius groups, Mathematical Physics
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