String scale in noncommutative Yang–Mills

2000/04/30 by Nobuyuki Ishibashi, N. Ishibashi, Satoshi Iso +4 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1016/s0550-3213(00)00308-4

published as Nucl.Phys. B583 (2000) 159-181 · 28 pages, 4 figures, published version in NPB

arxiv created 2000/05/22 · openalex publication_date 2000/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

We identify the effective string scale of noncommutative Yang-Mills theory (NCYM) with the noncommutativity scale through its dual supergravity description. We argue that Newton's force law may be obtained with 4 dimensional NCYM with maximal SUSY. It provides a nonperturbative compactification mechanism of IIB matrix model. We can associate NCYM with the von Neumann lattice by the bi-local representation. We argue that it is superstring theory on the von Neumann lattice. We show that our identification of its effective string scale is consistent with exact T-duality (Morita equivalence) of NCYM.

Citations

• On noncommutative and commutative equivalence for BFYM theory : : Seiberg-Witten map
• Evidence for winding states in noncommutative quantum field theory
• Mtheory as a matrix model: A conjecture
• D-brane field theory on compact spaces

Cited by

• Stretched strings in noncommutative field theory