Spontaneous Collapse of Supersymmetry

Detlev Buchholz, Izumi Ojima
January 03, 1997
It is shown that, if generators of supersymmetry transformations (supercharges) can be defined in a spatially homogeneous physical state, then this state describes the vacuum. Thus, supersymmetry is broken in any thermal state and it is impossible to proceed from it by ``symmetrization'' to states on which an action of supercharges can be defined. So, unlike the familiar spontaneous breakdown of bosonic symmetries, there is a complete collapse of supersymmetry in thermal states. It is also shown that spatially homogeneous superthermal ensembles are never supersymmetric.
open access link Nucl.Phys. B498 (1997) 228-242
@article{Buchholz:1997mf, author = "Buchholz, Detlev and Ojima, Izumi", title = "{Spontaneous collapse of supersymmetry}", journal = "Nucl. Phys.", volume = "B498", year = "1997", pages = "228-242", doi = "10.1016/S0550-3213(97)00274-5", eprint = "hep-th/9701005", archivePrefix = "arXiv", primaryClass = "hep-th", reportNumber = "RIMS-1123", SLACcitation = "%%CITATION = HEP-TH/9701005;%%" }