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A number of arguments exists that the ``minimal'' Bogomol'nyi-Prasad-Sommerfeld (BPS) wall width in large-N supersymmetric gluodynamics vanishes as $1/N.$ There is a certain tension between this assertion and the fact that the mesons coupled to λλ have masses O(N⁰). To reconcile these facts we argue that there should exist additional solitonlike states with masses scaling as N. The BPS walls must be ``made'' predominantly of these heavy states which are coupled to λλ stronger than the conventional mesons. The tension of the BPS wall junction scales as N², which serves as an additional argument in favor of the $1/N$ scaling of the wall width. The heavy states can be thought of as solitons of the corresponding closed string theory. They are related to certain fivebranes in the M-theory construction. We study the issue of the wall width in toy models which capture some features of supersymmetric gluodynamics. We speculate that the special hadrons with mass scaling as N should also exist in the large-N limit of nonsupersymmetric gluodynamics.
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Gabadadze et al. (2000) studied this question.
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