Triangle-generation in topological D-brane categories

Abstract

Tachyon condensation in topological Landau-Ginzburg models can generally be studied using methods of commutative algebra and properties of triangulated categories. The efficiency of this approach is demonstrated by explicitly proving that every D-brane system in all minimal models of type ADE can be generated from only one or two fundamental branes.

34 pages

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Cited by in corpus (2)

• Matrix factorisations and open topological string theory
• Algorithmic deformation of matrix factorisations