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arXiv 0911.0679hep-thcond-mat.str-elgr-qc
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空间调制相位的引力对偶

Gravity Dual of Spatially Modulated Phase

Shin Nakamura, Hirosi Ooguri, Chang-Soon Park

摘要:

我们证明了在恒定电场存在下,具有Chern-Simons项的五维Maxwell理论是快子的。当耦合到引力时,足够大的Chern-Simons耦合导致Reissner-Nordstrom黑洞在反德西特空间中的不稳定性。不稳定性只发生在非零动量,这表明在3+1维全息双量子场论中的空间调制相位,在螺旋配置中产生自发电流。AdS_5 × S^5上IIB超弦理论中的三电荷极值黑洞几乎不满足稳定性条件。

英文摘要:

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 non-vanishing 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 x S^5 barely satisfies the stability condition.

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