Abstract

Abstract We study description of ellipsoids by matrices to gain insights into emergence of space in matrix models. We apply the coherent state method to the fuzzy ellipsoids and perform the Berezin-Toeplitz quantization for ellipsoids. We see that the manifold described by the coherent state method is an ellipsoid. We find that the Toeplitz operators obtained in the Berezin-Toeplitz quantization agree with the matrices for the fuzzy ellipsoids used in the coherent state method and that the wave functions in the above two methods coincide.

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