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We study the low energy effective theory of two sets of D3-branes overlappingin 1+1 dimensions, recently considered by Mintun, Polchinski, and Sun. In theoriginal treatment by MPS, by studying the properties of magnetic solitons, thelow energy effective field theory was found to require some ultravioletcompletion, possibly involving full string dynamics. Recently in a companionpaper, it was shown that by scaling the angle between the D3-branes and theD3'-branes in the zero slope limit in specific way, one can find simplereffective field theory which consists of a single tower of Regge trajectorystates and yet is ultraviolet complete and non-singular. In this article, westudy this model by further studying a limit which recovers the MPS dynamicsfrom this non-singular construction. We approach this issue from a holographicperspective, where we consider a stack of $N$ D3-branes overlapping with asingle D3'-brane, and treat that D3'-brane as a probe in the $AdS_5 \times S^5$dual. In general, the D3'-brane probe supports a magnetic monopole as anon-singular soliton configuration, but in the limit where the MPS dynamics isrecovered, the soliton degenerates. This is consistent with the idea that theeffective dynamics in the MPS setup is incomplete, but that it can be completedwith a single tower of Regge trajectory states.

Solitons on intersecting 3-Branes II: a holographic perspective