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arXiv 2002.08487hep-th
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量子手征高自旋引力的进一步研究

More on Quantum Chiral Higher Spin Gravity

Evgeny Skvortsov, Tung Tran, Mirian Tsulaia

摘要:

手征高自旋引力是引力的最小的高自旋扩张,并且在平坦和(反)-de Sitter空间中都具有简单的局部作用量。它必须是四维空间中任何其他更高自旋理论的一个封闭的子部门,这使它成为一个重要的基石和基准。为了简单起见,我们使用平坦空间版本,在手征理论中进行量子校正的深入研究,这加强了我们早期的结果arXiv:1805.00048。即使相互作用是天真的不可重正化,我们表明,有两个,三个和四个点的振幅在一个循环由于较高的自旋对称性没有UV发散。我们也给的论点,AdS手征理论应该表现出类似的属性。结果表明手征理论允许具有$U(N)$、$SO(N)$和$USp(N)$群的杨-米尔斯规范,这使人想起弦论中的Chan-Paton对称性.

英文摘要:

Chiral Higher Spin Gravity is unique in being the smallest higher spin extension of gravity and in having a simple local action both in flat and (anti)-de Sitter spaces. It must be a closed subsector of any other higher spin theory in four dimensions, which makes it an important building block and benchmark. Using the flat space version for simplicity, we perform a thorough study of quantum corrections in Chiral Theory, which strengthen our earlier results arXiv:1805.00048. Even though the interactions are naively non-renormalizable, we show that there are no UV-divergences in two-, three- and four-point amplitudes at one loop thanks to the higher spin symmetry. We also give arguments that the AdS Chiral Theory should exhibit similar properties. It is shown that Chiral Theory admits Yang-Mills gaugings with $U(N)$, $SO(N)$ and $USp(N)$ groups, which is reminiscent of the Chan-Paton symmetry in string theory.

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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