A braided monoidal category for symplectic fermions. (English) Zbl 1297.81147
Bai, Chengming (ed.) et al., Symmetries and groups in contemporary physics. Proceedings of the XXIX international colloquium on group-theoretical methods in physics, Tianjin, China, August 20–26, 2012. Hackensack, NJ: World Scientific (ISBN 978-981-4518-54-3/hbk; 978-981-4518-56-7/ebook). Nankai Series in Pure, Applied Mathematics and Theoretical Physics 11, 399-404 (2013).
Summary: We describe a class of examples of braided monoidal categories which are built from Hopf algebras in symmetric categories. The construction is motivated by a calculation in two-dimensional conformal field theory and is tailored to contain the braided monoidal categories occurring in the study of the Ising model, their generalisation to Tamabara-Yamagami categories, and categories occurring for symplectic fermions.
For the entire collection see [Zbl 1279.81005].
For the entire collection see [Zbl 1279.81005].
MSC:
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 81Q70 | Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory |
| 18D10 | Monoidal, symmetric monoidal and braided categories (MSC2010) |
| 16T05 | Hopf algebras and their applications |
| 82B20 | Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics |
