The curvature of branes, currents and gravity in matrix models
The curvature of branes, currents and gravity in matrix models
复制标题
矩阵模型中的膜曲率、电流和重力
DOI：
10.1007/jhep01(2013)112
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发表时间：
2012
影响因子：
5.4
通讯作者：
H. Steinacker
中科院分区：
文献类型：
--
作者：
H. Steinacker
本文用与模型整体对称性有关的守恒流来表示Yang-Mills矩阵模型膜解的曲率。这意味着里奇张量和能量动量张量之间的关系，由于基本矩阵模型的作用，没有调用爱因斯坦-希尔伯特项。耦合是由外在的曲率膜嵌入，这自然会出现紧致膜解决方案。因此，膜上的有效引力与紧化模有关，并且由于与全局对称性的关系而免受量子修正。
A bstractThe curvature of brane solutions in Yang-Mills matrix models is expressed in terms of conserved currents associated with global symmetries of the model. This implies a relation between the Ricci tensor and the energy-momentum tensor due to the basic matrix model action, without invoking an Einstein-Hilbert term. The coupling is governed by the extrinsic curvature of the brane embedding, which arises naturally for compactified brane solutions. The effective gravity on the brane is thereby related to the compactification moduli, and protected from quantum corrections due to the relation with global symmetries.