Ribbon categories associated to gl(1|1)

Abstract: In recent seminars you have heard about topological field theories associated to gl(1|1). These are TFTs constructed out of ribbon supercategories whose underlying algebra is related to gl(1|1), i.e. the quantum supergroup gl(1|1) or the affine VOA of gl(1|1). I will give an overview on the representation theory of the affine VOA of gl(1|1) and explain why its ribbon supercategory coincides with the one of quantum gl(1|1).

mathematical physicsalgebraic topologycategory theoryquantum algebra

Audience: researchers in the topic

Topological Quantum Field Theory Club (IST, Lisbon)

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