More gravity solutions of AdS/CMT

Abstract

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

References in corpus (4)

• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Towards Gravity solutions of AdS/CMT
• Null Melvin Twist to Sakai-Sugimoto model