Derived categories and stacks in physics

Details Derived categories and stacks in physics Derived categories and stacks in physics

2006-08-08

arxiv.org/abs/hep-th/0608056v2

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, LaTeX, 2 figures, contribution to proceedings of Vienna homological mirror symmetry conference, June 2006; v2: refs

Scientific paper

In this note we review how both derived categories and stacks enter physics. The physical realization of each has many formal similarities. For example, in both cases, equivalences are realized via renormalization group flow: in the case of derived categories, (boundary) renormalization group flow realizes the mathematical procedure of localization on quasi-isomorphisms, and in the case of stacks, worldsheet renormalization group flow realizes presentation-independence. For both, we outline current technical issues and applications.

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