Triangulated categories of singularities and D-branes in Landau-Ginzburg models
Dmitri Orlov
TL;DR
This paper introduces triangulated categories associated with algebraic singularities and explores their connection to D-branes in Landau-Ginzburg models, bridging mathematical structures with physical theories.
Contribution
It establishes a mathematical framework linking triangulated categories of singularities to D-branes in Landau-Ginzburg models, providing a new perspective in mathematical physics.
Findings
Defined triangulated categories of singularities
Connected these categories to D-branes in Landau-Ginzburg models
Provided mathematical tools for studying singularities in physics
Abstract
In spite of physics terms in the title, this paper is purely mathematical. Its purpose is to introduce triangulated categories related to singularities of algebraic varieties and establish a connection of these categories with D-branes in Landau-Ginzburg models.
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Algebra and Geometry · Advanced Topics in Algebra