2012/11/05 by Κωνσταντίνος Αναγνωστόπουλος, Anagnostopoulos, Konstantinos N., Takehiro Azuma +3
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.1211.0950
openalex publication_date 2012/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The IKKT or IIB matrix model has been postulated to be a non perturbative\ndefinition of superstring theory. It has the attractive feature that spacetime\nis dynamically generated, which makes possible the scenario of dynamical\ncompactification of extra dimensions, which in the Euclidean model manifests by\nspontaneously breaking the SO(10) rotational invariance (SSB). In this work we\nstudy using Monte Carlo simulations the 6 dimensional version of the Euclidean\nIIB matrix model. Simulations are found to be plagued by a strong complex\naction problem and the factorization method is used for effective sampling and\ncomputing expectation values of the extent of spacetime in various dimensions.\nOur results are consistent with calculations using the Gaussian Expansion\nmethod which predict SSB to SO(3) symmetric vacua, a finite universal extent of\nthe compactified dimensions and finite spacetime volume.\n