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Quantum isometry groups and Born reciprocity in 3d gravity

In: Physical and Mathematical Aspects of Symmetries

Author

Listed:
  • Prince K. Osei

    (Perimeter Institute)

Abstract

Born reciprocity (or semidualisation) is an algebraic operation defined using quantum group (Lie bialgebra) methods. It is shown that this map provides a way of relating quantum groups that emerge in the application of the combinatorial quantisation programme to the Chern-Simons formulation of 3d gravity. It leads to the interpretation of the semiduality relation bewtween pairs of quantum groups arising from the same classical action as a physical equivalence of associated quantum theories after a suitable exchange of position and momentum degrees of freedom.

Suggested Citation

  • Prince K. Osei, 2017. "Quantum isometry groups and Born reciprocity in 3d gravity," Springer Books, in: Sergio Duarte & Jean-Pierre Gazeau & Sofiane Faci & Tobias Micklitz & Ricardo Scherer & Francesco To (ed.), Physical and Mathematical Aspects of Symmetries, pages 279-286, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-69164-0_41
    DOI: 10.1007/978-3-319-69164-0_41
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