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arXiv · 2409.11435

Size and Shape of Fuzzy Spheres from Matrix/Membrane Correspondence

Hai H. Vo·Olivia M. Markowich·Angeline Hu·Nguyen H. Nguyen·Trung V. Phan
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Abstract

We study the size and shape statistics of ground state fuzzy spheres when projected onto the transverse plane, utilizing the regularized SU(N=2) matrix model in D=(1+3)-dimensional spacetime. We show that they appear as ellipses, from matrix/membrane correspondence. With our numerical and analytical approximation for the ground state wavefunction, we provide estimations for their expectation surface areas, perimeters, eccentricities, and shape-parameters. These geometric constants of quantum membranes deviate drastically from classical mechanics.

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Hai H. Vo, Olivia M. Markowich, Angeline Hu, Nguyen H. Nguyen, Trung V. Phan. 2024-09-15. Size and Shape of Fuzzy Spheres from Matrix/Membrane Correspondence. https://arxiv.org/abs/2409.11435

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