  To the second order of the deformation parameter, we construct the black
brane solutions, which are dual to the multiple interface deformations of
conformal field theories. We compute their thermodynamic quantities from the
gravity and the field theory sides, and find a precise agreement, confirming
the validity of the AdS/CFT correspondence. The correlation of two separate
interfaces induces a Casimir energy and an interesting form of correlated
entropy contribution. We comment on the properties of the interface lattice
system too.
