Tachyon Condensation on Noncommutative Torus
arXiv:hep-th/0010101 · doi:10.1103/PhysRevD.63.086001
Abstract
We discuss noncommutative solitons on a noncommutative torus and their application to tachyon condensation. In the large B limit, they can be exactly described by the Powers-Rieffel projection operators known in the mathematical literature. The resulting soliton spectrum is consistent with T-duality and is surprisingly interesting. It is shown that an instability arises for any D-branes, leading to the decay into many smaller D-branes. This phenomenon is the consequence of the fact that K-homology for type II von Neumann factor is labeled by R.
LaTeX, 17 pages, 1 figure
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