Precision holography for non-conformal branes

Understand

We set up precision holography for the non-conformal branes preserving 16 supersymmetries.

• The near-horizon limit of all such p-brane solutions with p \leq 4, including the case of fundamental string solutions, is conformal to AdS_{p+2} x S^{8-p} with a linear dilaton.
• We develop holographic renormalization for all these cases.
• In particular, we obtain the most general asymptotic solutions with appropriate Dirichlet boundary conditions, find the corresponding counterterms and compute the holographic 1-point functions, all in complete generality and at the full non-linear level.