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| Paper IPM / Physic / 16884 |
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W(a,b) and W(a,b;bara,barb) are deformations of BMS3 and BMS4 algebra respectively. We present an N=2 supersymmetric extension of W(a,b) and W(a,b;bara,barb) in presence of R-symmetry generators that rotate the two supercharge generators. For W(a,b) our construction includes most generic central extensions of the algebra. In particular we show N=2 BMS3 algebra admits a new central extension.
For W(a,b;bara,barb), we find that an infinite U(1)_V * U(1)_A extension of the algebra is not possible with linear and quadratic structure constants for generic values of the deformation parameters. This implies a similar constraint for U(1)_V * U(1)_A extension of N=2 , BMS4 algebra.
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