Quantum space-time, higher spin and gravity from matrix models
Abstract:
I will discuss how a higher-spin gauge theory on a (3+1)-dimensional quantum space-time describing a FLRW cosmology
arises from the framework of (Yang-Mills) matrix models. The underlying mathematical structure is a quantized coadjoint orbit of SO(4,2),
which is naturally viewed as S^2 bundle over fuzzy H^4, closely related to quantized twistor space.
The quantum space-time M^{3,1} arises as a projection of this structure, and is a solution of the matrix model.
The bosonic fluctuation spectrum consists of a tower of higher-spin modes, truncated at n. The resulting higher-spin gauge theory includes all degrees of
freedom required for gravity, and should be well suited for quantization. All modes propagate with the same speed of light, even though local boost
invariance is not manifest.