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The QM/NCG Correspondence
Published 1 Nov 2022 in hep-th and gr-qc | (2211.00339v1)
Abstract: The correspondence between quantum mechanics and noncommutative geometry is illustrated in the context of the noncommutative ${\rm AdS}2_{\theta}/{\rm CFT_1}$ duality where ${\rm CFT}_1$ 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.
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