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arXiv 2006.14902hep-th
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电磁麦克斯韦理论的全息投影

Holographic Projection of Electromagnetic Maxwell Theory

Erica Bertolini, Nicola Maggiore

摘要:

考虑了具有单侧平面边界的四维Maxwell理论。由于边界的存在,恢复了两个破缺的沃德恒等式,这在壳层上产生了两个生活在边缘的守恒流。在中心荷与麦克斯韦耦合常数的倒数成正比的情况下,得到了由体场子集构成的Kaplan-Moody代数,并将边界理论的自由度确定为两个矢量场,这也表明三维理论应该是一个规范理论.最后,以两种不等价的方式实现了体理论和边界理论之间的全息联系,这两种方式都导致了一种独特的三维作用量,它描述了一种新的具有拓扑Chern-Simons项和质量系数的两个耦合矢量场的规范理论。为了检查四维麦克斯韦理论的三维投影是否定义良好,我们计算了能量动量张量和传播子。简要讨论了离散对称性的作用。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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