ISSN:
1432-0916
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract The consequences of the invariance of the superpotential under the complexificationG c of the internal symmetry group on the determination of the possible patterns of symmetry and supersymmetry breaking are established in a globally supersymmetric theory. In particular, in the case of global internal symmetry we show that a vacuum associaated to a pointz, whereG z c ≠G z c is always degenerate with a vacuum associated to a pointz′, whereG z′ c =G z′ c ; all the other degeneracies of the minimum of the potential on an orbit ofG c are also determined and shown to be completely removed when the internal symmetry is gauged. The zeroes of theD-term of a supersymmetric gauge theory are characterized as the points of the closed orbits ofG c which are at minimum distance from the origin; at these pointsG z c =G z c . It is rigorously proved that the minimum of the potential is zero if the gradient of the superpotential vanishes somewhere. It is also shown that theD-term necessarily vanishes at the minimum of the potential if the direction of spontaneous supersymmetry breaking is invariant byG.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01215226
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