RT Journal Article T1 Evidence for supersymmetry in the random-field Ising model at D=5. A1 Fytas, Nikolaos G. A1 Martín Mayor, Víctor A1 Parisi, Giorgio A1 Picco, Marco A1 Sourlas, Nicolas AB We provide a nontrivial test of supersymmetry in the random-field Ising model at five spatial dimensions, by means of extensive zero-temperature numerical simulations. Indeed, supersymmetry relates correlation functions in a D-dimensional disordered system with some other correlation functions in a D - 2 clean system. We first show how to check these relationships in a finite-size scaling calculation and then perform a high-accuracy test. While the supersymmetric predictions are satisfied even to our high accuracy at D = 5, they fail to describe our results at D = 4. PB American Physical Society SN 0031-9007 YR 2019 FD 2019-06-20 LK https://hdl.handle.net/20.500.14352/13546 UL https://hdl.handle.net/20.500.14352/13546 LA eng NO © 2019 American Physical Society.We acknowledge partial financial support from Ministerio de Economia, Industria y Competitividad (MINECO, Spain) through Grant No. FIS2015-65078-C2, and from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program (Grant No. 694925). N. G. F. and M. P. were supported by a Royal Society International Exchanges Scheme 2016/R1. NO Unión Europea. H2020 NO Ministerio de Economía y Competitividad (MINECO) NO Royal Society International Exchanges Scheme DS Docta Complutense RD 3 may 2024