$C^\ast$-categorical prefactorization algebras for superselection sectors and topological order

Marco Benini, Victor Carmona, Pieter Naaijkens, Alexander Schenkel
May 12, 2025
prefactorization algebras, C*-categories, higher algebra, algebraic quantum field theory, Superselection sectors, topological order
open access link

The complete set of infinite volume ground states for Kitaev's abelian quantum double models

Matthew Cha, Pieter Naaijkens, Bruno Nachtergaele
August 16, 2016
open access link doi:10.1007/s00220-017-2989-4

Jones index, secret sharing and total quantum dimension

Leander Fiedler, Pieter Naaijkens, Tobias J. Osborne
August 08, 2016
open access link New J. Phys. 19 023039 (2017)

Lieb-Robinson bounds, Arveson spectrum and Haag-Ruelle scattering theory for gapped quantum spin systems

Sven Bachmann, Wojciech Dybalski, Pieter Naaijkens
December 09, 2014
open access link

Haag duality for Kitaev's quantum double model for abelian groups

Leander Fiedler, Pieter Naaijkens
June 04, 2014
open access link Rev. Math. Phys. 27, 1550021 (2015)

Quantum spin systems on infinite lattices

Pieter Naaijkens
November 12, 2013
lectures
open access link Lecture Notes in Physics 933, Springer International Publishing (Cham), 2017

Kosaki-Longo index and classification of charges in 2D quantum spin models

Pieter Naaijkens
March 18, 2013
open access link J. Math. Phys. 54:081901

Haag duality and the distal split property for cones in the toric code

Pieter Naaijkens
June 21, 2011
open access link Lett. Math. Phys. 101 (2012), 341-354

Localized endomorphisms in Kitaev's toric code on the plane

Pieter Naaijkens
December 17, 2010
open access link Rev. Math. Phys. 23 (2011), 347-373

On the extension of stringlike localised sectors in 2+1 dimensions

Pieter Naaijkens
April 27, 2010
open access link Commun.Math.Phys.303:385-420,2011