Pérez García, DavidTierz, Miguel2023-06-182023-06-182016-011742-546810.1088/1742-5468/2016/01/013103https://hdl.handle.net/20.500.14352/24401We construct a one-dimensional (1D) spin chain Hamiltonian with generic interactions and prove that the thermal correlation functions of the model admit an explicit random matrix representation. As an application of the result, we show how the observables of U( N) Chern-Simons theory on S-3 can be reproduced with the thermal correlation functions of the 1D spin chain, which is of the XX type, with a suitable choice of exponentially decaying interactions between infinitely many neighbours. We show that for this model, the correlation functions of the spin chain at a finite temperature beta = 1 give the Chern-Simons partition function, quantum dimensions and the full topological S-matrix.engjournal articlehttp://iopscience.iop.org/article/10.1088/1742-5468/2016/01/013103http://arxiv.org/abs/1403.6780restricted accessintegrable spin chains (vertex models)matrix modelsrandom matrix theory and extensionsgauge theoriesAnálisis matemático1202 Análisis y Análisis Funcional