A braided monoidal category for symplectic fermions
Alexei Davydov, Ingo Runkel
TL;DR
This paper constructs a class of braided monoidal categories from Hopf algebras in symmetric categories, motivated by conformal field theory and applicable to models like the Ising model and symplectic fermions.
Contribution
It introduces a new construction of braided monoidal categories tailored to symplectic fermions and related models in conformal field theory.
Findings
Provides explicit examples of braided monoidal categories from Hopf algebras.
Connects the construction to models like the Ising and symplectic fermions.
Extends the framework to Tamabara-Yamagami categories.
Abstract
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.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Nonlinear Waves and Solitons