More on Supersymmetric Domain Walls, N Counting and Glued Potentials

Abstract

Various features of domain walls in supersymmetric gluodynamics are discussed. We give a simple field-theoretic interpretation of the phenomenon 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 supersymmetric theories which support degenerate vacuum states with distinct physical properties. The issue of existence (or non-existence) of the BPS saturated walls in the theories with glued (super)potentials is addressed. The amended Veneziano-Yankielowicz effective Lagrangian belongs to this class. The physical origin of the cusp structure of the effective Lagrangian is revealed, and the limitation it imposes on the calculability of the wall tension is explained. Related problems are considered. In particular, it is shown that the so called discrete anomaly matching, when properly implemented, does not rule out the chirally symmetric phase of supersymmetric gluodynamics, contrary to recent claims.

40 pages, Latex, 5 figures. Several references added, final version to be published in Physical Review D

References in corpus (8)

• Branes And The Dynamics Of QCD
• Domain Walls in Supersymmetric Yang-Mills Theories
• BPS-Saturated Walls in Supersymmetric Theories
• Non-Perturbative Dynamics in Supersymmetric Gauge Theories
• Degenerate Domain Wall Solutions in Supersymmetric Theories
• Chirally Symmetric Phase of Supersymmetric Gluodynamics
• Complex BPS domain walls and phase transition in mass in supersymmetric QCD
• Degeneracy and Continuous Deformations of Supersymmetric Domain Walls

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