论文标题
矩阵模型中量化时空的高旋转重力和扭转
Higher-spin gravity and torsion on quantized space-time in matrix models
论文作者
论文摘要
开发了一种几何形式主义，它允许描述IKKT矩阵模型中宇宙学量子时空上出现的高旋转重力的非线性状态。真空溶液是ricci-flat，直至扭转中有效的真空能量量量量子，这是由weitzenböck-type较高的自旋连接引起的。扭转只有在宇宙尺度和非常庞大的物体周围才有意义，并且可能像暗物质一样行事。找到了扭转张量的非线性方程，该方程编码矩阵模型的Yang-Mills方程。度量和扭转在较高自旋的扩张差异性的较高跨度的概括下，这是由矩阵模型的仪表不变性引起的。
A geometric formalism is developed which allows to describe the non-linear regime of higher-spin gravity emerging on a cosmological quantum space-time in the IKKT matrix model. The vacuum solutions are Ricci-flat up to an effective vacuum energy-momentum tensor quadratic in the torsion, which arises from a Weitzenböck-type higher spin connection. Torsion is expected to be significant only at cosmic scales and around very massive objects, and could behave like dark matter. A non-linear equation for the torsion tensor is found, which encodes the Yang-Mills equations of the matrix model. The metric and torsion transform covariantly under a higher-spin generalization of volume-preserving diffeomorphisms, which arises from the gauge invariance of the matrix model.
