Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
Phys Rev Lett. 2013 May 24;110(21):211601. doi: 10.1103/PhysRevLett.110.211601. Epub 2013 May 21.
The Schwarzschild black two-brane in four-dimensional anti-de Sitter space is dual to a finite temperature state in three-dimensional conformal field theory. We show that the solution acquires a nonzero angular momentum density when a gravitational Chern-Simons coupling is turned on in the bulk, even though the solution is not modified. A similar phenomenon is found for the Reissner-Nordström black two-brane with axionic coupling to the gauge field. We discuss interpretation of this phenomenon from the point of view of the boundary three-dimensional conformal field theory.
在四维反德西特空间中的 Schwarzschild 黑两胚对偶于三维共形场论中的有限温度态。我们表明,即使解没有被修改,当在体中打开引力陈-西蒙斯耦合时,该解会获得非零的角动量密度。对于带有规范场的轴子耦合的 Reissner-Nordström 黑两胚,也发现了类似的现象。我们从边界三维共形场论的角度讨论了这种现象的解释。