More gravity solutions of AdS/CMT

Details More gravity solutions of AdS/CMT More gravity solutions of AdS/CMT

2008-09-10

arxiv.org/abs/0809.1756v4

Physics

High Energy Physics

High Energy Physics - Theory

1+8 pp,v2 Solutions in arbitrary space time dimension added, v3 typos fixed and now appears in a compact form, v4 temporal sca

Scientific paper

We have generalized the gravity solutions presented in arXiv:0808.1725 and arXiv:0808.3232 to arbitrary but even space time dimensions with the scaling symmetry $r \to \f{r}{\lambda}, x_i \to \lambda^b x_i, t \to \lambda^a t$. However, for $b=0$, we have the solution in arbitrary space time dimension, not restricted to even dimensional. The physical meaning of this particular choice of $b$ is that we can have a solution with only temporal scale invariance. From the dual field theory point of view, the BF bound and the unitarity bound for operators dual to scalar field is discussed.

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