Holonomy operator for spin connection in twisted geometry
Long G, Liu H (2025)
Publication Type: Journal article
Publication year: 2025
Journal
Book Volume: 866
Article Number: 139580
DOI: 10.1016/j.physletb.2025.139580
Abstract
In this article we construct the holonomy operator for spin connection in (1+3)-dimensional LQG based on the twisted geometry. The starting point of the construction is to express the holonomy of the spin connection on a graph in terms of the twisted geometry variables, and we check that this expression reproduces the spin connection in terms of triads in a certain continuum limit. By using the twisted geometry parametrization of the holonomy-flux phase space, we further express the holonomy of the spin connection in terms of fluxes. Finally, it is promoted as well-defined operators by replacing the fluxes with ordered flux operators.
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APA:
Long, G., & Liu, H. (2025). Holonomy operator for spin connection in twisted geometry. Physics Letters B, 866. https://doi.org/10.1016/j.physletb.2025.139580
MLA:
Long, Gaoping, and Hongguang Liu. "Holonomy operator for spin connection in twisted geometry." Physics Letters B 866 (2025).
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