MORE ON SUPERSYMMETRIC DOMAIN-WALLS, N-COUNTING, AND GLUED POTENTIALS

Various features of domain walls in supersymmetric gluodynamics are di scussed. We give a simple field-theoretic interpretation of the phenom enon of strings ending on the walls recently conjectured by Witten. An explanation of this phenomenon in the framework of gauge field theory is outlined. The phenomenon is argued to be particularly natural in s upersymmetric theories which support degenerate vacuum states with dis tinct physical properties. The issue of the existence (or nonexistence ) of the BPS saturated walls in the theories with glued (super)potenti als is addressed. The amended Veneziano-Yankielowicz effective Lagrang ian belongs to this class. The physical origin of the cusp structure o f the effective Lagrangian is revealed, and the limitation it imposes on the calculability of the wall tension is explained. Related problem s an considered. In particular, it is shown that the so-called discret e anomaly matching, when properly implemented, does not rule out the c hirally symmetric phase of supersymmetric gluodynamics, contrary to re cent claims.