2025/02/04 by Manta, Alessandro, Steinacker, Harold C. · 2 citations
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2502.02498
We discuss minimal covariant quantum space-time \cal M1,30, which is defined through the minimal doubleton representation of \mathfrakso(4,2). An elementary definition in terms of generators and relations is given. This space is shown to admit a semi-classical interpretation as quantized twistor space \mathbb C P1,2, viewed as a quantized S2-bundle over a 3+1-dimensional k=-1 FLRW space-time. In particular we find an over-complete set of (quasi-) coherent states, with a large hierarchy between the uncertainty scale and the geometric curvature scale. This provides an interesting background for the IKKT model, leading to a \mathfrakhs-extended gravitational gauge theory, which is free of ghosts due to the constraints on phase space arising from the doubleton representation.