26–31 May 2024
Western University
America/Toronto timezone
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(G) On the SU(2) gauge symmetry in Loop Quantum Cosmology

27 May 2024, 15:15
15m
PAB Rm 148 (cap. 96) (Physics & Astronomy Bldg., Western U.)

PAB Rm 148 (cap. 96)

Physics & Astronomy Bldg., Western U.

Oral not-in-competition (Graduate Student) / Orale non-compétitive (Étudiant(e) du 2e ou 3e cycle) Theoretical Physics / Physique théorique (DTP-DPT) (DTP) M2-2 Gravity and Cosmology | Gravité et cosmologie (DPT)

Speaker

Matteo Bruno

Description

Loop Quantum Cosmology offers a successful quantization of cosmological models using techniques adapted from Loop Quantum Gravity (LQG). However, the connection with LQG remains unclear, primarily due to the absence of the $SU(2)$ gauge symmetry, which is a fundamental aspect of LQG. We aim to address this issue by demonstrating that the Gauss constraint can always be reformulated into abelian constraints within the cosmological framework, indicating the inherent abelian nature of the model in the minisuperspace.

To overcome this challenge, we propose employing a symmetry reduction approach inspired by Yang-Mills theory. This approach compels us to leave the minisuperspace, but, on the other hand, it allows us to construct a classical cosmological sector for the theory within the LQG framework and provide an analogous quantization.

Keyword-1 Quantum Cosmology
Keyword-2 Loop Quantum Gravity
Keyword-3 Symmetry reduction

Primary author

Matteo Bruno

Co-author

Prof. Giovanni Montani (Sapienza Università di Roma)

Presentation materials