Kitaev models based on unitary quantum groupoids

Update: 2017-08-02

Description

Kitaev originally constructed his quantum double model based on finite groups and anticipated the extension based on Hopf algebras, which was achieved later by Buerschaper, etc. In this talk, we will present the work on the generalization of Kitaev model for quantum groupoids and discuss its ground states.

Comments

In Channel

From 3D TQFTs to 4D models with defects

2017-08-0456:47

Hopf algebras and parafermionic lattice models

2017-08-0401:03:52

Frobenius algebras, Hopf algebras and 3-categories

2017-08-03--:--

Quantum computation with Turaev-Viro codes

2017-08-03--:--

The Kitaev model and aspects of semisimple Hopf algebras via the graphical calculus

2017-08-03--:--

A tensor network framework for topological phases of quantum matter

2017-08-03--:--

Interacting Hopf monoids and Graphical Linear Algebra

2017-08-02--:--

Introduction to CQM

2017-08-02--:--

Kitaev models based on unitary quantum groupoids

2017-08-02--:--

Symmetry-enriched topological order in tensor networks: Gauging and anyon condensation

2017-08-01--:--

Topological defects and higher-categorical structures

2017-08-01--:--

Kitaev lattice models as a Hopf algebra gauge theory

2017-08-01--:--

An Introduction to Hopf Algebra Gauge Theory

2017-08-01--:--

Gapped phases of matter vs. Topological field theories

2017-07-31--:--

Topological Quantum Computation

2017-07-3154:36

Modular categories and the Witt group

2017-07-31--:--

The Hopf C*-algebraic quantum double models - symmetries beyond group theory

2017-07-31--:--

Semisimple Hopf algebras and fusion categories

2017-07-31--:--

00:00

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Kitaev models based on unitary quantum groupoids

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Kitaev models based on unitary quantum groupoids

Liang Chang

Kitaev models based on unitary quantum groupoids