TY - JOUR
T1 - Marginal stability and the metamorphosis of Bogomol'nyi-Prasad-Sommerfield states
AU - Ritz, Adam
AU - Shifman, Mikhail
AU - Vainshtein, Arkady
AU - Voloshin, Mikhail
PY - 2001
Y1 - 2001
N2 - We discuss the restructuring of the BPS spectrum which occurs on certain submanifolds of the moduli or parameter space - the curves of the marginal stability (CMS) - using quasiclassical methods. We argue that in general a "composite" BPS soliton swells in coordinate space as one approaches the CMS and that, as a bound state of two "primary" solitons, its dynamics in this region is determined by nonrelativistic supersymmetric quantum mechanics. Near the CMS the bound state has a wave function which is highly spread out. Precisely on the CMS the bound state level reaches the continuum, the composite state delocalizes in coordinate space, and restructuring of the spectrum can occur. We present a detailed analysis of this behavior in a two-dimensional N=2 Wess-Zumino model with two chiral fields, and then discuss how it arises in the context of "composite" dyons near weak coupling CMS curves in N=2 supersymmetric gauge theories. We also consider cases where some states become massless on the CMS.
AB - We discuss the restructuring of the BPS spectrum which occurs on certain submanifolds of the moduli or parameter space - the curves of the marginal stability (CMS) - using quasiclassical methods. We argue that in general a "composite" BPS soliton swells in coordinate space as one approaches the CMS and that, as a bound state of two "primary" solitons, its dynamics in this region is determined by nonrelativistic supersymmetric quantum mechanics. Near the CMS the bound state has a wave function which is highly spread out. Precisely on the CMS the bound state level reaches the continuum, the composite state delocalizes in coordinate space, and restructuring of the spectrum can occur. We present a detailed analysis of this behavior in a two-dimensional N=2 Wess-Zumino model with two chiral fields, and then discuss how it arises in the context of "composite" dyons near weak coupling CMS curves in N=2 supersymmetric gauge theories. We also consider cases where some states become massless on the CMS.
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U2 - 10.1103/PhysRevD.63.065018
DO - 10.1103/PhysRevD.63.065018
M3 - Article
AN - SCOPUS:0034897281
SN - 0556-2821
VL - 63
SP - 650181
EP - 6501825
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 6
M1 - 065018
ER -