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

1998/11/12 by Nick E. Mavromatos, Richard J. Szabo, Mavromatos, Nick E. +1
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9811116

20 pages LaTeX, 3 eps figures, uses epsf.sty; Based on talks given by R.J.S. at SUSY'98, Oxford, England, July 11-17, 1998, and by N.E.M. at the 6th Hellenic School and Workshop on Elementary Particle Physics, TMR project "Physics Beyond the Standard Model", Corfu, Greece, September 15-18, 1998

arxiv created 1998/11/12 · openalex publication_date 1998/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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