2006/11/08 by Ko Furuta, Masanori Hanada, H. Kawai +2 · 28 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Covariant transformation #Dilaton #Equations of motion #Interpretation (philosophy) #Massless particle #Mathematical physics #Mathematics #Matrix (chemical analysis) #Noncommutative and Quantum Gravity Theories #Philosophy #Physics #String (physics) #String field theory #Theoretical physics #Torsion (gastropod) #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2007.01.003
published in Nuclear Physics B 767(1-2), 82-99 (Elsevier BV) · 21 pages
arxiv created 2006/11/08 · openalex publication_date 2007/01/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Recently, some of the authors have introduced a new interpretation of matrix models in which covariant derivatives on any curved space can be expressed by large-N matrices. It has been shown that the Einstein equation follows from the equation of motion of IIB matrix model in this interpretation. In this paper, we generalize this argument to covariant derivatives with torsion. We find that some components of the torsion field can be identified with the dilaton and the B-field in string theory. However, the other components do not seem to have string theory counterparts. We also consider the matrix model with a mass term or a cubic term, in which the equation of motion of string theory is exactly satisfied.