dS3超重力的渐近对称性和经典全息对偶

Arindam Bhattacharjee
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引用次数: 1

摘要

我们考虑在(2+1)维de-Sitter背景下的最小超重力。我们固定了引力场的衰减条件,以固定其渐近相空间。利用chen - simons公式,我们导出了该理论的渐近对称代数。脱落条件对相空间施加了约束,使陈-西蒙斯理论简化为WZW模型。进一步的约束使其在边界处简化为超刘维尔理论。这可以看作是超引力理论在整体中的经典对偶。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Asymptotic symmetry and classical holographic dual of dS3 supergravity
We consider minimal supergravity on (2+1)dimensional de-Sitter background. We fix the fall-off conditions for gravitini fields in order to fix the asymptotic phase space. Using the Chern-Simons formulation, we then derive the asymptotic symmetry algebra for this theory. The fall-off conditions impose constraints on the phase space which reduces the Chern Simons theory to a WZW model. Further constraints reduce it to a super-Liouville theory at the boundary. This can be treated as a classical dual for the supergravity theory in the bulk.
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