Bigraded Fusion Algebra of the Prime Hypercube B₃, ₂

Key Points

• This research aims to explore the fusion algebra associated with the prime hypercube B_{3,2} based on a specific Diophantine constraint.
• Identified B_{3,2} using a Diophantine constraint.
• Analyzed the corresponding fusion algebra.
• Characterized the algebra in terms of its 21 rules.
• Determined the specific structure of the fusion algebra for B_{3,2}.
• Revealed that the selected Diophantine constraint leads to a 21-rule configuration.