BCT Programme v47j Letter 249: The Josephson Loop Integral over the Flag Manifold F(1, 2; 3) and Topological Phase-Locking

Key Points

• The aim is to compute the Josephson loop integral and investigate its implications for superfluid flow in a BCT lattice.
• Computed the Josephson loop integral over the flag manifold F(1, 2; 3).
• Built upon the QCD Ward identity framework established in prior work.
• Applied the Corrected Casimir-Void identity to analyze geometric constraints.
• Demonstrated that superfluid flow in the BCT lattice is topologically constrained.
• Proved that topological holonomy quantizes into rigid geometric limits.
• Showed that existing perturbative approaches are rendered obsolete.