Volume 90, Number 4, May 2010
|Number of page(s)||4|
|Section||The Physics of Elementary Particles and Fields|
|Published online||03 June 2010|
Hidden conformal symmetries and quantum-gravitational anomalies
Department of Theoretical Physics, National Institute for Physics and Nuclear Engineering Magurele, Bucharest, Romania, EU
Corresponding author: firstname.lastname@example.org
Accepted: 20 May 2010
The relationship between conformal symmetries in a curved-space background and the corresponding quantum operators that commute with the fundamental wave operator in a first-quantized field theory is investigated. It is shown that the conformal Killing vectors and tensors do not in general produce symmetry operators for the Klein-Gordon equation. These differ from the standard Killing tensors for which, under a few notable favorable circumstances, the existence of such operators is possible.
PACS: 11.30.-j – Symmetry and conservation laws / 11.30.Ly – Other internal and higher symmetries / 11.30.Na – Nonlinear and dynamical symmetries (spectrum-generating symmetries)
© EPLA, 2010
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