Gravity Dual of Spatially Modulated Phase
Gravity Dual of Spatially Modulated Phase
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DOI：
10.1103/physrevd.81.044018
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发表时间：
2009-11
影响因子：
5
通讯作者：
Shin-ichi Nakamura;H. Ooguri;C. Park
中科院分区：
文献类型：
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作者：
Shin-ichi Nakamura;H. Ooguri;C. Park
我们证明了具有chen - simons项的五维麦克斯韦理论在恒定电场存在下是速子的。当与重力耦合时，足够大的chen - simons耦合导致反德西特空间中的Reissner-Nordstrom黑洞不稳定。这种不稳定性只发生在不消失的动量下，这表明在（3+1）维全息对偶量子场论中存在空间调制相位，具有螺旋形的自发电流产生。在AdS_5×S^5上IIB型超弦理论中的三荷极黑洞勉强满足稳定条件。
We show that the five-dimensional Maxwell theory with the Chern-Simons term is tachyonic in the presence of a constant electric field. When coupled to gravity, a sufficiently large Chern-Simons coupling causes instability of the Reissner-Nordstrom black holes in anti-de Sitter space. The instability happens only at nonvanishing momenta, suggesting a spatially modulated phase in the holographically dual quantum field theory in (3+1) dimensions, with spontaneous current generation in a helical configuration. The three-charge extremal black hole in the type IIB superstring theory on AdS_5×S^5 barely satisfies the stability condition.