More gravity solutions of AdS/CMT
Abstract
Description
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 $r \to \f{r}λ, x_i \to λ^b x_i, t \to λ^a t$. 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.
1+8 pp,v2 Solutions in arbitrary space time dimension added, v3 typos fixed and now appears in a compact form, v4 temporal scale invariance, b=0, added
1+8 pp,v2 Solutions in arbitrary space time dimension added, v3 typos fixed and now appears in a compact form, v4 temporal scale invariance, b=0, added