Size and Shape of Fuzzy Spheres from Matrix/Membrane Correspondence

ORAL

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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Publication: https://arxiv.org/abs/2409.11435

Presenters

  • Angeline Hu

    • Claremont McKenna College

Authors

  • Trung Phan

    • Claremont Colleges (Scripps and Pitzer)

  • Olivia M Markowich

    • Scripps College

  • Angeline Hu

    • Claremont McKenna College

  • Hai H Vo

    • Massachusetts Institute of Technology

  • Nguyen H Nguyen

    • Ho Chi Minh City University of Technology