Quantum isometry groups and Born reciprocity in 3d gravity

Prince K. Osei ()
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Prince K. Osei: Perimeter Institute

A chapter in Physical and Mathematical Aspects of Symmetries, 2017, pp 279-286 from Springer

Abstract: 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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-69164-0_41

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DOI: 10.1007/978-3-319-69164-0_41

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