Lecture notes on 2-dimensional defect TQFT
Quantum Algebra
2020-07-08 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1607.05747,
title = {Lecture notes on 2-dimensional defect TQFT},
author = {Nils Carqueville},
journal= {arXiv preprint arXiv:1607.05747},
year = {2020}
}
Comments
42 pages, prepared for the proceedings of the Advanced School on Topological Quantum Field Theory in Warsaw, December 2015; v2: references added