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arXiv 1208.2277hep-th
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基于sl(N)的三维高自旋超引力探索|N - 1)Chern-Simons理论

Exploring Three-dimensional Higher-Spin Supergravity based on sl(N |N - 1) Chern-Simons theories

H. S. Tan

摘要:

本文在有限维超代数sl(N)的基础上研究了Chern-Simons理论所描述的三维高自旋反de Sitter超引力的各个方面|N - 1),以N = 3的特殊情况作为我们的主要例子。这类理论是基于sl(N)陈-西蒙斯理论的高自旋引力理论的自然超对称化。证明了渐近对称代数在每个扇区中包含N = 2的超共形代数。适当的Killing旋量方程的推导和分类现有的和新的经典解决方案。我们还讨论了这类理论中的完整性条件、高自旋黑洞和锥形亏损时空。

英文摘要:

We investigate various aspects of higher-spin anti-de Sitter supergravity in three dimensions as described by Chern-Simons theory based on the finite-dimensional superalgebra sl(N |N - 1), with the particular case of N = 3 as our prime example. This class of theories serves as a natural supersymmetrization of the higher-spin gravity theory based on sl(N) Chern-Simons theories. We demonstrate explicitly that the asymptotic symmetry algebra contains the N = 2 superconformal algebra in each sector. The appropriate Killing spinor equations are derived and used to classify existing and new classical solutions. We also discuss holonomy conditions, higher-spin black holes and conical defect spacetimes in this class of theories.

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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