Berry Phases on Virasoro Orbits
arXiv:1703.06142 · doi:10.1007/JHEP10(2017)114
Abstract
We point out that unitary representations of the Virasoro algebra contain Berry phases obtained by acting on a primary state with conformal transformations that trace a closed path on a Virasoro coadjoint orbit. These phases can be computed exactly thanks to the Maurer-Cartan form on the Virasoro group, and they persist after combining left- and right-moving sectors. Thinking of Virasoro representations as particles in AdS_3 dressed with boundary gravitons, the Berry phases associated with Brown-Henneaux diffeomorphisms provide a gravitational extension of Thomas precession.
34 pages, 3 figures. v2: examples moved to appendix + minor clarifications. Published in JHEP
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