2024/01/29 by Samuel Laliberte, Laliberte, Samuel
Biochemistry, Genetics and Molecular Biology · Materials Science · #Enzyme Structure and Function #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Protein Structure and Dynamics
paper · pdf · doi:10.48550/arxiv.2401.16401
openalex publication_date 2024/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The IKKT model is a promising candidate for a non-perturbative description of Type IIB superstring theory. It is known from analytic approaches and numerical simulations that the IKKT matrix model with a mass term admits interesting cosmological solutions. However, this mass term is often introduced by hand, and serves as a regulator in the theory. In the present paper, we show that an effective mass matrix can arise naturally in the IKKT model by imposing a toroidal compactification where the space-time fermions acquire anti-periodic boundary conditions. When six spatial dimensions are chosen to be compact, the effective mass matrix breaks the SO(1,9) space-time symmetry of the IKKT model to SO(1,3) × SO(6). This paves the way for space-time solutions of the IKKT model where SO(1,9) symmetry is naturally broken to SO(1,3) × SO(6).