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arXiv 1502.06685hep-thgr-qcmath-phmath.MP
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作为固定(反)de Sitter背景理论的高自旋引力

Higher-spin gravity as a theory on a fixed (anti) de Sitter background

Yasha Neiman

摘要:

我们研究了3+1d的Vasiliev高自旋引力。我们制定的理论在所谓的补偿形式主义,其中的局部等距群SO(4,1)减少到洛伦兹群SO(3,1)通过选择类空方向在内部4+1d空间。我们提出了一个一致的扩展瓦西里耶夫的方程,使这个内部的方向成为时空依赖。这允许一个新的观点的理论,其中时空是确定的德西特空间的可能的内部方向。这样,我们得到了一个固定的、最大对称背景时空上的高自旋无质量规范场的相互作用理论。我们期望的影响,为高自旋引力的物理解释,为一个拉格朗日公式和/或量子化的搜索,以及高自旋全息。

英文摘要:

We study Vasiliev's higher-spin gravity in 3+1d. We formulate the theory in the so-called compensator formalism, where the local isometry group SO(4,1) is reduced to the Lorentz group SO(3,1) by a choice of spacelike direction in an internal 4+1d space. We present a consistent extension of Vasiliev's equations that allows this internal direction to become spacetime-dependent. This allows a new point of view on the theory, where spacetime is identified with the de Sitter space of possible internal directions. We thus obtain an interacting theory of higher-spin massless gauge fields on a fixed, maximally symmetric background spacetime. We expect implications for the physical interpretation of higher-spin gravity, for the search for a Lagrangian formulation and/or quantization, as well as for higher-spin holography.

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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