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arXiv · 2011.00845

Perverse schobers and the Algebra of the Infrared

Mikhail Kapranov·Yan Soibelman·Lev Soukhanov
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Abstract

We relate the Algebra of the Infrared of Gaiotto-Moore-Witten with the theory of perverse schobers which are (conjectural, in general) categorical analogs of perverse sheaves. A perverse schober on a complex plane C can be seen as an algebraic structure that can encode various categories of D-branes of a 2-dimensional supersymmetric field theory, as well as the interaction (tunnelling) between such categories. We show that many constructions of the Algebra of the Infrared can be developed once we have a schober on C. These constructions can be seen as giving various features of the analog, for schobers, of the geometric Fourier transform well known for D-modules and perverse sheaves.

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Mikhail Kapranov, Yan Soibelman, Lev Soukhanov. 2020-11-02. Perverse schobers and the Algebra of the Infrared. https://arxiv.org/abs/2011.00845

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