Extension of the D1-string mechanism to symmetry breaking in the BFSS matrix model

Determine whether the D1-string annihilation mechanism, including the absence of long-range forces between parallel D1 strings, can also account for the origin of symmetry breaking in the BFSS matrix model that leads to three large spatial dimensions.

Background

The authors previously proposed emergent cosmology from the BFSS matrix model, where the bosonic Matsubara zero modes share the action with the bosonic sector of the IKKT model. Given this relation, it is natural to ask whether the same physical mechanism—based on D1-strings and their interactions—could drive symmetry breaking in BFSS as argued for IKKT.

Clarifying this connection would unify the understanding of symmetry breaking across related nonperturbative formulations and strengthen the broader cosmological implications of matrix models.