Braid Group Representations from Braiding Gapped Boundaries of Dijkgraaf-Witten Theories

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Hector Bombin and MA Martin-Delgado, Family of non-abelian kitaev models on a lattice: Topological condensation and confinement , Physical Review B 78

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Pavel Etingof, Eric Rowell, and Sarah Witherspoon, Braid group representations from twisted quantum doubles of finite groups , Pacific J. Math. 234

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Alexei Davydov, Modular invariants for group-theoretical modular data. I , J. Algebra 323

2010

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Salman Beigi, Peter W. Shor, and Daniel Whalen, The quantum double model with boundary: condensations and symmetries , Comm. Math. Phys. 306

2011

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Alexei Kitaev and Liang Kong, Models for gapped boundaries and domain walls , Comm. Math. Phys. 313

2012

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Alexei Davydov, Michael Müger, Dmitri Nikshych, and Victor Ostrik, The Witt group of non-degenerate braided fusion categories , J. Reine Angew. Math. 677

2013

Cited alongside, same era.

Iris Cong, Meng Cheng, and Zhenghan Wang, Topological quantum computation with gapped boundaries , arXiv preprint arXiv:1609.02037 (2016)

Original

2016

Cited alongside, same era.

Sonia Natale, On the equivalence of module categories over a group-theoretical fusion category , arXiv preprint arXiv:1608.04435 (2016)

Original

2016

Later among the works it cites.

by same author, Hamiltonian and algebraic theories of gapped boundaries in topological phases of matter , Commun. Math. Phys. (to appear) (2017)

2017

Closest in time.

by same author, On defects between gapped boundaries in two-dimensional topological phases of matter , arXiv preprint arXiv:1703.03564 (2017)

Original

2017

Closest in time.

by same author, Universal quantum computation with gapped boundaries , in preparation (2017)

2017

Closest in time.

Alexei Davydov and Darren Simmons, On lagrangian algebras in group-theoretical braided fusion categories , Journal of Algebra 471

2017