论文标题
两种矩阵模型和规范张量模型中的对称性增强
Symmetry enhancement in a two-logarithm matrix model and the canonical tensor model
论文作者
论文摘要
我研究了一个真正的对称矩阵的一个矩阵模型，其电势是两个对数函数和谐波函数的总和。这个两元素矩阵模型是玩具波函数的绝对平方规范，它是通过用矩阵替换规范张量模型（CTM）的波函数的张量参数而获得的。我在此矩阵模型中讨论了对称性增强现象，并表明仅在CTM意义上仅适用于正宇宙学恒定情况的阶段中，出现空间的对称性和尺寸才稳定。这将暗示宇宙学常数在CTM中的出现现象中的重要性。
I study a one-matrix model of a real symmetric matrix with a potential which is a sum of two logarithmic functions and a harmonic one. This two-logarithm matrix model is the absolute square norm of a toy wave function which is obtained by replacing the tensor argument of the wave function of the canonical tensor model (CTM) with a matrix. I discuss a symmetry enhancement phenomenon in this matrix model and show that symmetries and dimensions of emergent spaces are stable only in a phase which exists exclusively for the positive cosmological constant case in the sense of CTM. This would imply the importance of the positivity of the cosmological constant in the emergence phenomena in CTM.
