1/4-BPS states on noncommutative tori

1999/07/31 by Anatoly Konechny, A. Konechny, Albert Schwarz +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Bioinformatics #Black Holes and Theoretical Physics #Degeneracy (biology) #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Physics #Pure mathematics #Quantum #Quantum mechanics #Torus #hep-th

paper · pdf · doi:10.1088/1126-6708/1999/09/030

published as JHEP 9909 (1999) 030 · 15 pages, Latex; v.2 typos corrected

arxiv created 1999/08/06 · openalex publication_date 1999/09/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We give an explicit expression for classical 1/4-BPS fields in supersymmetric Yang-Mills theory on noncommutative tori. We use it to study quantum 1/4-BPS states. In particular we calculate the degeneracy of 1/4-BPS energy levels.

Citations

• Dualities of the matrix model from T-duality of the Type II string
• A large-N reduced model as superstring
• Gauge bundles and Born-Infeld on the non-commutative torus
• Mtheory as a matrix model: A conjecture

Cited by

• Open Wilson lines and group theory of noncommutative Yang-Mills theory in two dimensions