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arXiv · hep-th/9811116

D-branes and the Non-commutative Structure of Quantum Spacetime

Nick E. Mavromatos·Richard J. Szabo
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Abstract

A worldsheet approach to the study of non-abelian D-particle dynamics is presented based on viewing matrix-valued D-brane coordinate fields as coupling constants of a deformed sigma-model which defines a logarithmic conformal field theory. The short-distance structure of spacetime is shown to be naturally captured by the Zamolodchikov metric on the corresponding moduli space which encodes the geometry of the string interactions between D-particles. Spacetime quantization is induced directly by the string genus expansion and leads to new forms of uncertainty relations which imply that general relativity at very short-distance scales is intrinsically described by a non-commutative geometry. The indeterminancies exhibit decoherence effects suggesting the natural incorporation of quantum gravity by short-distance D-particle probes. Some potential experimental tests are briefly described.

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Nick E. Mavromatos, Richard J. Szabo. 1998-11-12. D-branes and the Non-commutative Structure of Quantum Spacetime. https://arxiv.org/abs/hep-th/9811116

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