Hagedorn-like transition at high supersymmetry breaking scale

Abstract

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.

35+1 pages, 1 figure. v2: Improved discussion of the orbifold action

References in corpus (20)

• Target Space Duality in String Theory
• Closed String Field Theory: Quantum Action and the BV Master Equation
• Introduction to string field theory
• Universality of the Tachyon Potential
• Pure Spinor Formalism as an N=2 Topological String
• Perturbative and Non-Perturbative Partial Supersymmetry Breaking; N=4 -> N=2 -> N=1
• Gauged N=4 supergravities
• Supersymmetry breaking, open strings and M-theory
• Partial breaking of supersymmetry, open strings and M-theory
• Strong/Weak Coupling Duality Relations for Non-Supersymmetric String Theories
• Duality without Supersymmetry: The Case of the SO(16)xSO(16) String
• Non-perturbative Temperature Instabilities in N=4 Strings
• Open Descendants of Z_2\times Z_2 Freely-Acting Orbifolds
• Thermal duality and non-singular cosmology in d-dimensional superstrings
• Resolution of Hagedorn singularity in superstrings with gravito-magnetic fluxes
• S-brane to thermal non-singular string cosmology
• Non-singular string cosmology in a 2d Hybrid model
• Quantum no-scale regimes and moduli dynamics
• N=2 -> 0 super no-scale models and moduli quantum stability
• Cosmological Perturbations Across an S-brane