January 9, 2023 to February 17, 2023
Europe/Paris timezone

Twisted geometries and spin network states

Jan 9, 2023, 2:10 PM
Amphitheater Darboux (IHP)

Amphitheater Darboux


11, Rue Pierre et Marie Curie 75005 Paris


Simone Speziale (CPT, Marseille)


Loop quantum gravity is a background-independent approach to the
quantization of general relativity. The fundamental states of the
theory are described by spin networks, states associated with graphs
whose quantum numbers give the spectra of discrete and non-commuting
geometric operators. On a fixed graph, the quantum numbers can be
interpreted as a collection of fuzzy polyhedra describing a twisted
geometry. The maths describing the twisted geometry uses an amusing
interplay of symplectic geometry, group theory and Regge geometry
which I will describe in some details. There is also a connection to
twistors that I will briefly discuss.

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