English

The QM/NCG Correspondence

High Energy Physics - Theory 2022-11-02 v1 General Relativity and Quantum Cosmology

Abstract

The correspondence between quantum mechanics and noncommutative geometry is illustrated in the context of the noncommutative AdSθ2/CFT1{\rm AdS}^2_{\theta}/{\rm CFT_1} duality where CFT1{\rm CFT}_1 is identified as conformal quantum mechanics. This model is conjectured to describe the gauge/gravity correspondence in one dimension. Applications to quantum black holes and emergent geometry/gravity are also discussed.

Keywords

Cite

@article{arxiv.2211.00339,
  title  = {The QM/NCG Correspondence},
  author = {Badis Ydri},
  journal= {arXiv preprint arXiv:2211.00339},
  year   = {2022}
}

Comments

To be published in Particles, Fields and Topology: Celebrating A.P. Balachandran, a Festschrift volume for A.P. Balachandran. arXiv admin note: text overlap with arXiv:2109.01010, arXiv:2109.00380

R2 v1 2026-06-28T04:54:52.487Z