  We construct a gravity dual to a system with multiple (2+1)-dimensional
layers in a (3+1)-dimensional ambient theory. Following a top-down approach, we
generate a geometry corresponding to the intersection of D3- and D5-branes
along 2+1 dimensions. The D5-branes create a codimension one defect in the
worldvolume of the D3-branes and are homogeneously distributed along the
directions orthogonal to the defect. We solve the fully backreacted
ten-dimensional supergravity equations of motion with smeared D5-brane sources.
The solution is supersymmetric, has an intrinsic mass scale, and exhibits
anisotropy at short distances in the gauge theory directions. We illustrate the
running behavior in several observables, such as Wilson loops, entanglement
entropy, and within thermodynamics of probe branes.
