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)