Twisted bundles on noncommutativeT4and D-brane bound states

1999/12/31 by Eunsang Kim, Hoil Kim, Nakwoo Kim +4 · 13 citations
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Combinatorics #Cosmology and Gravitation Theories #Duality (order theory) #Mathematical analysis #Mathematical physics #Mathematics #Moduli space #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Physics #Pure mathematics #String theory #T-duality #Upper and lower bounds #hep-th

paper · pdf · doi:10.1103/physrevd.62.046001

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 62(4) (American Physical Society) · 19 pages, Latex. v2: Title is changed. Minor corrections. A reference added

arxiv created 2000/01/25 · openalex publication_date 2000/06/28 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We construct twisted quantum bundles and adjoint sections on noncommutative T⁴, and investigate relevant D-brane bound states with non-Abelian backgrounds. We also show that the noncommutative T⁴ with non-Abelian backgrounds exhibits SO(4,4|Z) duality and via this duality we get a Morita equivalent T⁴ on which only D0-branes exist. For a reducible non-Abelian background, the moduli space of D-brane bound states in type II string theory takes the form \ensuremath∏_a(T⁴)^q_a/S_q_a.

Citations

• String theory and noncommutative geometry
• Dualities of the matrix model from T-duality of the Type II string
• Algebraic treatment of compactification on noncommutative tori
• Gauge bundles and Born-Infeld on the non-commutative torus
• Instantons on Noncommutative ℝ 4 , and (2,0) Superconformal Six Dimensional Theory
• Dirichlet Branes and Ramond-Ramond Charges
• Mtheory as a matrix model: A conjecture
• Microscopic Origin of the Bekenstein-Hawking Entropy
• U-duality of Born-Infeld on the noncommutative two-torus
• Noncommutative geometry and Matrix theory