Implementation of conformal covariance by diffeomorphism symmetry

Details Implementation of conformal covariance by diffeomorphism symmetry Implementation of conformal covariance by diffeomorphism symmetry

2003-12-05

arxiv.org/abs/math-ph/0312017v1

Lett.Math.Phys. 67 (2004) 239-247

Physics

Mathematical Physics

11 pages,no figures

Scientific paper

10.1023/B:MATH.0000035040.57943.

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).

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