Twisted Bundles on Noncommutative $T^4$ and D-brane Bound States

Abstract

We construct twisted quantum bundles and adjoint sections on noncommutative $T^4$, and investigate relevant D-brane bound states with non-Abelian backgrounds. We also show that the noncommutative $T^4$ with non-Abelian backgrounds exhibits SO$(4,4|Z)$ duality and via this duality we get a Morita equivalent $T^4$ 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 ${\prod }_a(T^4{)}^{q_a}/S_{q_a}$.

19 pages, Latex. v2: Title is changed. Minor corrections. A reference added

References in corpus (3)

• String Theory and Noncommutative Geometry
• Large N Limit of Non-Commutative Gauge Theories
• Non-Commutative Yang-Mills and the AdS/CFT Correspondence

Cited by in corpus (9)

• Quantum Field Theory on Noncommutative Spaces
• Emergent Gravity from Noncommutative Spacetime
• The CP(n) Model on Noncommutative Plane
• CP^n Model on Fuzzy Sphere
• Noncommutative K3 Surfaces
• Theta functions on Noncommutative T^4
• N-Point Deformation of Algebraic K3 Surfaces
• Matrix Theory Compactification on Noncommutative $T^4/Z_2$
• Morita Equivalence of Noncommutative Supertori