RT Journal Article
T1 Chern-Simons theory encoded on a spin chain
A1 Pérez García, David
A1 Tierz, Miguel
AB We 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.
PB IOP Science
SN 1742-5468
YR 2016
FD 2016-01
LK https://hdl.handle.net/20.500.14352/24401
UL https://hdl.handle.net/20.500.14352/24401
LA eng
NO Ministerio de Economía y Competitividad (MINECO)
NO Comunidad de Madrid
NO European CHIST-ERA project CQC
NO John Templeton Foundation
DS Docta Complutense
RD 17 abr 2025