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Spacetime Quantization from Non-abelian D-particle Dynamics

Nick E. Mavromatos·Richard J. Szabo
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Abstract

We describe the short-distance properties of the spacetime of a system of D-particles by viewing their matrix-valued coordinates as coupling constants of a deformed worldsheet $σ$-model. We show that the Zamolodchikov metric on the associated moduli space naturally encodes properties of the non-abelian dynamics, and from this we derive new spacetime uncertainty relations directly from the quantum string theory. The non-abelian uncertainties exhibit decoherence effects which suggest the interplay of quantum gravity in multiple D-particle dynamics.

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BibTeXRIS

Nick E. Mavromatos, Richard J. Szabo. 1998-07-25. Spacetime Quantization from Non-abelian D-particle Dynamics. https://doi.org/10.1103/physrevd.59.064016

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