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2020

Higher-spin gravity and torsion on quantized space-time in matrix models

Steinacker, Harold C.

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A geometric formalism is developed which allows to describe the non-linear regime of higher-spin gravity emerging on a cosmological quantum space-time in the IKKT matrix model.

The vacuum solutions are Ricci-flat up to an effective vacuum energy-momentum tensor quadratic in the torsion, which arises from a Weitzenb\"ock-type higher spin connection.
Torsion is expected to be significant only at cosmic scales and around very massive objects, and could behave like dark matter.
A non-linear equation for the torsion tensor is found, which encodes the Yang-Mills equations of the matrix model.

Higher-spin gravity and torsion on quantized space-time in matrix models · Around

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M. Sperling and H. C. Steinacker, Covariant cosmological quantum space-time, higher-spin and gravity in the IKKT matrix model
Original
1901
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J. Nishimura and A. Tsuchiya, Complex Langevin analysis of the space-time structure in the Lorentzian type IIB matrix model
Original
1904
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H. C. Steinacker, Scalar modes and the linearized Schwarzschild solution on a quantized FLRW space-time in Yang-Mills matrix models
Original
1905
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M. Grigoriev, I. Lovrekovic, and E. Skvortsov, New Conformal Higher Spin Gravities in 3 d 3d
Original
1909
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H. C. Steinacker, Higher-spin kinematics & no ghosts on quantum space-time in Yang-Mills matrix models
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1910
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H. C. Steinacker, On the quantum structure of space-time, gravity, and higher spin
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1911
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K. Hatakeyama, A. Matsumoto, J. Nishimura, A. Tsuchiya, and A. Yosprakob, The emergence of expanding space-time and intersecting D-branes from classical solutions in the Lorentzian type IIB matrix model
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N. Ishibashi, H. Kawai, Y. Kitazawa, and A. Tsuchiya, A Large N reduced model as superstring
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