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Gravity as a quantum effect on quantum space-time
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DOI：10.1016/j.physletb.2022.136946.png)
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The 3+1-dimensional Einstein-Hilbert action is obtained from the 1-loop effective action on noncommutative branes in the IIB or IKKT matrix model. The presence of compact fuzzy extra dimensions /C as well as maximal supersymmetry of the model is essential. The E-H action can be interpreted as interaction of /C with the space-time brane via IIB supergravity, and the effective Newton constant is determined by the Kaluza-Klein scale of /C. The classical matrix model defines a pre-gravity action with 2 derivatives less than the induced E-H action, governing the cosmological regime. The perturbative physics is confined to the space-time brane, which for covariant quantum space-times includes all dof of gravity, as well as a tower of higher-spin modes. The vacuum energy of the background is given in terms of the symplectic volume form, and hence does not act as cosmological constant. (C)& nbsp;2022 The Author(s). Published by Elsevier B.V.& nbsp;
Keyword:
YANG-MILLS
MATRIX
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4.5
论文数:
3.2W
被引数:
7.3W
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