May 6 – 10, 2024
US/Eastern timezone

Poincare symmetries for 4D gravity and spin networks

May 9, 2024, 3:55 PM
15m
FAU FTL Room 312

FAU FTL Room 312

Boundaries, Symmetries, and Classical aspects Cosmology, Black Holes, and other applications/phenomenology

Speaker

Simon Langenscheidt (LMU München, MCQST)

Description

"3D gravity in tetrad variables shows a rich symmetry structure that includes both rotations and Kalb-Ramond translations which has been instrumental in understanding its properties. Therefore, extensions of this type of symmetries to the four-dimensional case, like the $\mathfrak{isu}(2)$-algebra described in [1910.05642] for Loop Quantum Gravity, may be crucial in understanding states of quantum geometry.
Here, we present a set of $\mathfrak{iso}(1,3)$ symmetries of 4D gravity that form the direct analogue of the 3D ones, which were described in [1704.04248], and describe their canonical generators for the first time. We also highlight their implications and uses for spin networks and the kinematics of quantum geometry."

Author

Simon Langenscheidt (LMU München, MCQST)

Co-author

Prof. Daniele Oriti (Complutense Madrid)

Presentation materials

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