Hagedorn-like transition at high supersymmetry breaking scale

Hervé Partouche (1) , Balthazar de Vaulchier (1)

1 CPHT - Centre de Physique Théorique [Palaiseau]

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

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Relativité Générale et Cosmologie Quantique [gr-qc]

Hervé Partouche, Balthazar de Vaulchier. Hagedorn-like transition at high supersymmetry breaking scale. Journal of High Energy Physics, 2019, 2019 (8), pp.155. ⟨10.1007/JHEP08(2019)155⟩. ⟨hal-02343008⟩