nLab Pieter Naaijkens

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Selected writings

Discussion of anyon fusion categories via string-localized DHR theory/algebraic quantum field theory:

• Pieter Naaijkens: Localized endomorphisms in Kitaev’s toric code on the plane, Rev. Math. Phys. 23 (2011) 347-373 [doi:10.1142/S0129055X1100431X, arXiv:1012.3857]

• Pieter Naaijkens: Anyons in Infinite Quantum Systems – QFT in $d=2+1$ and the Toric Code, PhD thesis, Nijmegen (2012) [hdl:2066/92737, pdf]

• Matthew Cha, Pieter Naaijkens, Bruno Nachtergaele: On the stability of charges in infinite quantum spin systems, Commun. Math. Phys. 373 (2020) 219–264 [doi:10.1007/s00220-019-03630-1, arXiv:1804.03203]

• Pieter Naaijkens, David Penneys, Daniel Wallick: Local topological order, Haag duality, and reflection positivity [arXiv:2605.10693]

On the quantum double model via AQFT:

• Pieter Naaijkens: Kitaev’s quantum double model from a local quantum physics point of view, in: Advances in Algebraic Quantum Field Theory, Mathematical Physics Studies, Springer (2015) [doi:10.1007/978-3-319-21353-8_9, arXiv:1508.07170]

On the Levin-Wen model:

• Liang Chang, Meng Cheng, Shawn X. Cui, Yuting Hu, Wei Jin, Ramis Movassagh, Pieter Naaijkens, Zhenghan Wang, Amanda Young: On Enriching the Levin-Wen model with Symmetry, J. Phys. A: Math. Theor. 48 (2016) 12FT01 [arXiv:1412.6589]

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