English

More gravity solutions of AdS/CMT

High Energy Physics - Theory 2008-10-24 v4

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\frλ,xiλbxi,tλatr \to \f{r}{\lambda}, x_i \to \lambda^b x_i, t \to \lambda^a t. However, for b=0b=0, we have the solution in arbitrary space time dimension, not restricted to even dimensional. The physical meaning of this particular choice of bb 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.

Keywords

Cite

@article{arxiv.0809.1756,
  title  = {More gravity solutions of AdS/CMT},
  author = {Shesansu Pal},
  journal= {arXiv preprint arXiv:0809.1756},
  year   = {2008}
}

Comments

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

R2 v1 2026-06-21T11:18:46.099Z