Dynamical Compactification as a Mechanism of Spontaneous Supersymmetry Breaking

TL;DR

The paper proposes that SUSY breaking and the emergence of a 4D universe can arise from dynamical compactification: our world may be a defect in higher dimensions, with standard particles as zero modes trapped on the defect core. Extra dimensions remain non-compact yet inaccessible, so a KK tower is absent and SUSY breaking inside the defect can be complete, potentially accompanied by four-momentum leakage above a SUSY-restoration threshold. The authors construct toy models using domain walls, global and gauge strings, gradient-energy configurations, and global winding to realize and analyze complete SUSY breaking, determine goldstino content, and discuss phenomenological pathways such as gauge mediation. They highlight potential collider signatures, including momentum non-conservation at accessible energies, and emphasize that the compactification scale can be at TeV scales, offering a novel link between spacetime structure and SUSY phenomenology. The work motivates extending these ideas to more realistic theories and exploring their cosmological and experimental implications.

Abstract

Supersymmetry breaking and compactification of extra space-time dimensions may have a common dynamical origin if our universe is spontaneously generated in the form of a four-dimensional topological or non-topological defect in higher dimensional space-time. Within such an approach the conventional particles are zero modes trapped in the core of the defect. In many cases solutions of this type spontaneously break all supersymmetries of the original theory, so that the low-energy observer from ``our'' universe inside the core would not detect supersymmetry. Since the extra dimensions are not compact but, rather, inaccessible to low-energy observers, the usual infinite tower of the Kaluza-Klein excitations does not exist. Production of superpartners at the energy scale of SUSY restoration will be accompanied by four-momentum non-conservation. (Depending on the nature of the solution at hand, the non-conservation may either happen above some threshold energy or be continuous). In either case, the door to extra dimensions may be not very far from the energies accessible at present colliders.