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arXiv 1703.01769hep-th
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手征高自旋引力

Chiral Higher Spin Gravity

Chethan Krishnan, Avinash Raju

摘要:

我们用AdS $_3$边界条件构造了一个最一般的手征高自旋理论的候选者。在Chern-Simons语言中,左边是Drinfeld-Sokolov约化形式,而右边是所有电荷和化学势都被打开的形式,总之(对于自旋为3的情况)这些是$19$函数。尽管如此,我们表明,所得到的度量的形式的“最一般的”AdS $_3$边界条件讨论Grumiller和Riegler。根据需要,渐近对称代数是左侧的$\mathcal{W}_3$代数和右侧的仿射$sl(3)_k$当前代数的乘积。度量和更高自旋场取决于所有$19$函数。我们比较我们的工作与以前的结果在文献中。

英文摘要:

We construct a candidate for the most general chiral higher spin theory with AdS$_3$ boundary conditions. In the Chern-Simons language, on the left it has the Drinfeld-Sokolov reduced form, but on the right all charges and chemical potentials are turned on. Altogether (for the spin-3 case) these are $19$ functions. Despite this, we show that the resulting metric has the form of the "most general" AdS$_3$ boundary conditions discussed by Grumiller and Riegler. The asymptotic symmetry algebra is a product of a $\mathcal{W}_3$ algebra on the left and an affine $sl(3)_k$ current algebra on the right, as desired. The metric and higher spin fields depend on all the $19$ functions. We compare our work with previous results in the literature.

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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