论文标题
电磁麦克斯韦理论的全息投影
Holographic Projection of Electromagnetic Maxwell Theory
论文作者
论文摘要
考虑了具有单面平面边界的4D麦克斯韦理论。由于边界的存在，恢复了两个破碎的病房身份，在壳上产生了两种居住在边缘的保守电流。由大体字段子集形成的kaç-moody代数与与麦克斯韦耦合常数成比例成正比的中心电荷获得，边界理论的自由度的程度被确定为两个矢量场，也表明3D理论应为一个规格理论。最后，以两种不相等的方式达到了批量与边界理论之间的全息接触，这既导致了独特的3D动作，描述了带有拓扑结构的两个耦合矢量场的新量表理论，具有较高的系数。为了检查4D Maxwell理论的3D投影已很好地定义，我们计算了能量量张量和传播器。简要讨论了离散对称性的作用。
The 4D Maxwell theory with single-sided planar boundary is considered. As a consequence of the presence of the boundary, two broken Ward identities are recovered, which, on-shell, give rise to two conserved currents living on the edge. A Kaç-Moody algebra formed by a subset of the bulk fields is obtained with central charge proportional to the inverse of the Maxwell coupling constant, and the degrees of freedom of the boundary theory are identified as two vector fields, also suggesting that the 3D theory should be a gauge theory. Finally the holographic contact between bulk and boundary theory is reached in two inequivalent ways, both leading to a unique 3D action describing a new gauge theory of two coupled vector fields with a topological Chern-Simons term with massive coefficient. In order to check that the 3D projection of 4D Maxwell theory is well defined, we computed the energy-momentum tensor and the propagators. The role of discrete symmetries is briefly discussed.
