Hagedorn-like transition at high supersymmetry breaking scale
Résumé
We consider phase transitions occurring in four-dimensional heterotic orbifold models, when the scale of spontaneous breaking of N = 1 supersymmetry is of the order of the string scale. The super-Higgs mechanism is implemented by imposing distinct boundary conditions for bosons and fermions along an internal circle of radius R. Depending on the orbifold action, the usual scalars becoming tachyonic when R falls below the Hagedorn radius may or may not be projected out of the spectrum. In all cases, infinitely many other scalars, which are pure Kaluza-Klein or pure winding states along other internal directions, become tachyonic in subregions in moduli space. We derive the off-shell tree level effective potential that takes into account these potentially tachyonic modes. We show that when a combination of the usual tachyons survives the orbifold action, it is the only degree of freedom that actually condenses.
Mots clés
tachyon
dimension: 4
supersymmetry: 1
supersymmetry: symmetry breaking
scale: string
orbifold: heterotic
Tachyon Condensation
Supersymmetry Breaking
Supersymmetric Effective Theories
Superstrings and Heterotic Strings
circle
Hagedorn
off-shell
moduli space
Kaluza-Klein
tree approximation
boundary condition
critical phenomena
effective potential
spontaneous symmetry breaking
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