论文标题
矩阵模型弯曲背景的费米子
Fermions on curved backgrounds of matrix models
论文作者
论文摘要
我们讨论了在IKKT型矩阵模型中对通用，弯曲的麸皮的传播。可以根据weitzenböck的连接或用额外的扭转项来理解狄拉克操作员。我们详细讨论使用JWKB近似旋转与背景几何形状的耦合。尽管在基础IKKT框架中没有局部洛伦兹的不变性，但我们的结果与爱因斯坦 - 卡丹理论的期望一致，并且仅与一般相对性不同，只有与扭转的完全反对称部分的额外耦合。将FLRW宇宙背景解决方案的情况讨论为特殊情况。
We discuss the propagation of fermions on generic, curved branes in IKKT-type matrix models. The Dirac operator can be understood either in terms of a Weitzenböck connection, or in terms of the Levi-Civita connection with extra torsion term. We discuss in detail the coupling of spin to the background geometry using the JWKB approximation. Despite the absence of local Lorentz invariance in the underlying IKKT framework, our results agree with the expectations of Einstein-Cartan theory, and differ from general relativity only by an extra coupling to the totally antisymmetric part of the torsion. The case of FLRW cosmic background solutions is discussed as a special case.
