New type of saddle in the Euclidean IKKT matrix model and its emergent geometry
Abstract
We study the equation of motion of the Euclidean Ishibashi-Kawai-Kitazawa-Tsuchiya matrix model, and realize a new type of classical saddle that only exists in the N → ∞ limit. Under the assumption that the matrices are the generators of so ( n , m ) , we identify a unique solution, that is, so ( 1 , 3 ) . Even though it has 6 generators and thus 6 nonzero matrices, they are not independent due to the 2 Casimir constraints in so ( 1 , 3 ) . Exploiting the Lie-algebraic structure and the Casimir constraints, we derive a four-dimensional space that a test scalar propagates on. The associated metric possesses SU(2) isometry, which is closely related to the Taub–Newman-Unti-Tamburino/Bolt geometry and may, more broadly, be related to black hole physics.
Fields of Study & Subjects
Matrix Theory and Algorithms
Theoretical and Computational Physics
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- Physical review. D/Physical review. D.
- Publisher
- American Physical Society (APS)
- Volume
- 114
- Issue
- 2
- Publication date
- 25 June 2026
- Language
- EN