Related papers: Defects and excitations in the Kitaev model

Defects and excitations in the Kitaev model

URL: http://arxiv.org/abs/2205.15208v1
Date: Mon, 30 May 2022 16:05:39 GMT
Title: Defects and excitations in the Kitaev model
Authors: Thomas Vo{\ss}
Abstract summary: We construct a Kitaev model with defects using twists or 2-cocycles of semi-simple, finite-dimensional Hopf algebras as defect data. Data is derived by applying Tannaka duality to Turaev-Viro topological quantum field theories with defects.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We construct a Kitaev model with defects using twists or 2-cocycles of semi-simple, finite-dimensional Hopf algebras as defect data. This data is derived by applying Tannaka duality to Turaev-Viro topological quantum field theories with defects. From this we also derive additional conditions for moving, fusing and braiding excitations in the Kitaev model with defects. We give a description of excitations in the Kitaev model and show that they satisfy conditions we derive from Turaev-Viro topological quantum field theories with defects. Assigning trivial defect data one obtains transparent defects and we show that they can be removed, yielding the Kitaev model without defects.

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