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Gravity dual of spatially modulated phase

2010; American Physical Society; Volume: 81; Issue: 4 Linguagem: Inglês

10.1103/physrevd.81.044018

1550-7998

Shin Nakamura, Hirosi Ooguri, Chang-Soon Park,

Advanced Mathematical Physics Problems

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.