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

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

1999-12-30

arxiv.org/abs/hep-th/9912272v2

Phys.Rev.D62:046001,2000

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.62.046001

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 $\prod_a (T^4)^{q_a}/S_{q_a}$.

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