  We study a defect system of two parallel D5 probe branes in a large-N_c D3
background. Using the non-abelian DBI action, we study three different fields
that can give rise to a superconducting phase transition: A vector (p-wave), a
scalar corresponding to a non-trivial "separation"' of the branes in the (3+1)
field theory directions and a scalar corresponding to a separation in the
"internal" S^5 (both s-wave).
  Comparing these phases first in the \alpha'^2 expansion, we find that the
internal scalar has the largest critical temperature and is always
thermodynamically preferred. Further, there is an interesting attractor
behavior.
  Taking a simplified version of the full DBI action that preserves its
regularity and geometry, we find that the divergences of the \alpha'^2
expansion are resolved and some second order transitions turn into first order
ones. In addition to some other changes of the phase diagram due to the
structure of the DBI action, we observe that the ground state degeneracy of the
unbroken theory is lifted. We also isolate the unphysical artifacts of our
simplification.
