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arXiv 1504.07579hep-thgr-qc
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三维引力弦:自由边界条件下PDKEEPAAA $_3$引力的渐近动力学

Strings from 3D gravity: asymptotic dynamics of AdS$_3$ gravity with free boundary conditions

Luis Apolo, Bo Sundborg

摘要:

反de Sitter空间中的纯三维引力可以表述为SL(2,R)$\times $ SL(2,R)Chern-Simons理论,后者在边界处可以约化为WZW理论。在本文中,我们证明了AdS $_3$重力与自由边界条件描述的字符串在边界上的目标时空也是AdS $_3$。虽然边界条件在标准建设的Lessaert,Henneaux,和范Driel通过约束WZW电流强制执行,我们发现,自由边界条件部分通过字符串维拉索罗约束强制执行。

英文摘要:

Pure three-dimensional gravity in anti-de Sitter space can be formulated as an SL(2,R) $\times $ SL(2,R) Chern-Simons theory, and the latter can be reduced to a WZW theory at the boundary. In this paper we show that AdS$_3$ gravity with free boundary conditions is described by a string at the boundary whose target spacetime is also AdS$_3$. While boundary conditions in the standard construction of Coussaert, Henneaux, and van Driel are enforced through constraints on the WZW currents, we find that free boundary conditions are partially enforced through the string Virasoro constraints.

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