Free-field realisations of the BMS3 algebra and its extensions

Nabamita Banerjee, Dileep P. Jatkar, Sunil Mukhi, Turmoli Neogi
2016 Journal of High Energy Physics  
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) current
more » ... algebra as well as BMS_3 via the Wakimoto representation, though in this case introducing a central extension also brings in new non-central operators.
doi:10.1007/jhep06(2016)024 fatcat:36ab26hznfgyphctc3mdnnnmoq