2-Representation theory of gl(1|1)

Abstract: 2-Representations of simple Lie algebras are expected to lead to 4-dimensional TQFTs, as envisioned by Crane and Frenkel. The tensor product of 2-representations introduces homotopical phenomena which disappear when considering instead the case of the super Lie algebra gl(1|1). I will discuss how to construct parts of the structure of a braided monoidal 2-category associated to gl(1|1), and how this compares with the known 4-dimensional Heegaard–Floer TQFT.

mathematical physicsalgebraic topologycategory theoryquantum algebra

Audience: researchers in the topic

Topological Quantum Field Theory Club (IST, Lisbon)

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