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I study a one-matrix model of a real symmetric matrix with a potential whichis a sum of two logarithmic functions and a harmonic one. This two-logarithmmatrix model is the absolute square norm of a toy wave function which isobtained by replacing the tensor argument of the wave function of the canonicaltensor model (CTM) with a matrix. I discuss a symmetry enhancement phenomenonin this matrix model and show that symmetries and dimensions of emergent spacesare stable only in a phase which exists exclusively for the positivecosmological constant case in the sense of CTM. This would imply the importanceof the positivity of the cosmological constant in the emergence phenomena inCTM.

Symmetry enhancement in a two-logarithm matrix model and the canonical tensor model