Exact Tachyon Condensation on Noncommutative Torus

Abstract

We construct the exact noncommutative solutions on tori. This gives an exact description of tachyon condensation on bosonic D-branes, non-BPS D-branes and brane-antibrane systems. We obtain various bound states of D-branes after the tachyon condensation. Our results show that these solutions can be generated by applying the gauge Morita equivalence between the constant curvature projective modules. We argue that there is a general framework of the noncommutative geometry based on the notion of Morita equivalence which underlies this specific example.

Latex 31 pages, v2: presentation much improved, various points clarified

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• Gauge Fields on Tori and T-duality
• Kronecker foliation, D1-branes and Morita equivalence of Noncommutative two-tori
• A New Matrix Model for Noncommutative Field Theory
• Elliptic Algebra and Integrable Models for Solitons on Noncummutative Torus $\mathcal{T}$
• Unstable solitons on noncommutative tori and D-branes