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We construct an explicit realisation of the BMS_3 algebra with nonzero central charges using holomorphic free fields. This can be extended by the addition of chiral matter to a realisation having arbitrary values for the two independent central charges. Via the introduction of additional free fields, we extend our construction to the minimally supersymmetric BMS_3 algebra and to the nonlinear higher-spin BMS_3-W_3 algebra. We also describe an extended system that realises both the SU(2) currentdoi:10.1007/jhep06(2016)024 fatcat:36ab26hznfgyphctc3mdnnnmoq