Lecture notes on 2-dimensional defect TQFT
arXiv:1607.05747 · doi:10.4064/bc114-2
Abstract
These notes offer an introduction to the functorial and algebraic description of 2-dimensional topological quantum field theories `with defects', assuming only superficial familiarity with closed TQFTs in terms of commutative Frobenius algebras. The generalisation of this relation is a construction of pivotal 2-categories from defect TQFTs. We review this construction in detail, flanked by a range of examples. Furthermore we explain how open/closed TQFTs are equivalent to Calabi-Yau categories and the Cardy condition, and how to extract such data from pivotal 2-categories.
42 pages, prepared for the proceedings of the Advanced School on Topological Quantum Field Theory in Warsaw, December 2015; v2: references added
References in corpus (5)
Cited by in corpus (17)
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