Tachyon Condensation on Noncommutative Torus

Details Tachyon Condensation on Noncommutative Torus Tachyon Condensation on Noncommutative Torus

2000-10-12

arxiv.org/abs/hep-th/0010101v2

Phys.Rev. D63 (2001) 086001

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 17 pages, 1 figure

Scientific paper

10.1103/PhysRevD.63.086001

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.

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