Derives Minkowskian Nambu-Goto path integral for critical closed strings, proves equivalences to Polyakov and Schild forms, and obtains a causality-preserving Minkowski IKKT matrix model via regularization of the type IIB worldsheet integral.
Steinacker,Modified gravity at large scales on quantum spacetime in the IKKT model, JHEP04(2026) 044 [2601.08031]
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Complex Langevin simulations of the deformed Lorentzian type IIB matrix model show emergence of smooth (3+1)-dimensional expanding spacetime with real space and time.
In the IKKT matrix model, quantum fluctuations are negligible compared to noncommutativity scales at weak coupling for Moyal-Weyl and covariant quantum spacetime backgrounds, justifying semi-classical emergent geometry.
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Path integral for the closed superstring and the matrix model
Derives Minkowskian Nambu-Goto path integral for critical closed strings, proves equivalences to Polyakov and Schild forms, and obtains a causality-preserving Minkowski IKKT matrix model via regularization of the type IIB worldsheet integral.
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The emergence of (3+1)-dimensional expanding spacetime from complex Langevin simulations of the Lorentzian type IIB matrix model with deformations
Complex Langevin simulations of the deformed Lorentzian type IIB matrix model show emergence of smooth (3+1)-dimensional expanding spacetime with real space and time.
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Quantum spacetime and quantum fluctuations in the IKKT model at weak coupling
In the IKKT matrix model, quantum fluctuations are negligible compared to noncommutativity scales at weak coupling for Moyal-Weyl and covariant quantum spacetime backgrounds, justifying semi-classical emergent geometry.