Abstract
In this note we show a bosonic conformal string theory on U(1)-bundles over AdS 3. To this end, we first look for r-elastic helices in the space AdS 3, because they generate solutions of the motion equation on backgrounds P which are principal circle-bundles over AdS 3 endowed with the standard metric or generalized Kaluza–Klein metrics. In fact, we reduce the search of U(1)-symmetric string configurations on P to the search of r-elastic curves in the orbit space AdS 3.
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