Planar Trivial Anyon: PlanarTrivial

PlanarTrivial is the one-object fusion category without braiding. It is mostly useful as the smallest planar, non-braided sector in tests and examples.

Sector type

TensorKitSectors.PlanarTrivialType
struct PlanarTrivial <: Sector
PlanarTrivial()

Represents a trivial anyon sector, i.e. a trivial sector without braiding. This is mostly useful for testing.

source

There is only one label, PlanarTrivial(). It is its own unit and dual.

Fusion Rules

Fusion is uniquely trivial:

\[1 \otimes 1 = 1.\]

FusionStyle(PlanarTrivial) = UniqueFusion() and Nsymbol is 1 for the only allowed channel.

Topological Data

The Fsymbol is 1. The quantum dimension is 1.

Unlike Trivial, this sector has BraidingStyle(PlanarTrivial) = NoBraiding(). Consequently, braiding data such as Rsymbol and twists are not part of this sector.