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JHEP08(2025)036Published for SISSA by SpringerReceived: March 7, 2025Revised: June 30, 2025Accepted: June 30, 2025Published: August 5, 2025Lattice defect networks in 2d Yang-MillsLuca Griguolo , a Elisa Iris Marieniband Itamar Yaakovba Dipartimento SMFI, Università di Parma and INFN Gruppo Collegato di Parma,Viale G.P. Usberti 7/A, 43100 Parma, Italyb STAG Research Center & Mathematical Sciences, University of Southampton,Highf i eld, Southampton SO17 1BJ, U.K.E-mail: luca.griguolo@unipr.it, e.i.marieni@soton.ac.uk,i.yaakov@soton.ac.ukAbstract: We construct defect networks in pure Yang-Mills theory in two dimensions usinga ref i nement of the lattice approach. The ref i nement preserves the locality properties ofindividual defects, and is compatible with solvability of the theory via subdivision invariance.We explicitly demonstrate closure of the building blocks under fusion.Keywords: Field Theories in Lower Dimensions, Lattice Quantum Field Theory, Wilson, ’tHooft and Polyakov loopsArXiv ePrint: 2501.12351Open Access, © The Authors.Article funded by SCOAP 3 .https://doi.org/10.1007/JHEP08(2025)036