The structure of the N=4 supersymmetric linear W∞[λ] algebra

초록

For the vanishing deformation parameter lambda, the full structure of the (anti)commutator relations in the N=4 supersymmetric linear W-infinity[lambda=0] algebra is obtained for arbitrary weights h(1) and h(2) of the currents appearing on the left hand sides in these (anti)commutators. The w(1+infinity) algebra can be seen from this by taking the vanishing limit of other deformation parameter q with the proper contractions of the currents. For the nonzero lambda, the complete structure of the N=4 supersymmetric linear W infinity[lambda] algebra is determined for the arbitrary weight h(1) together with the constraint h(1) -3 <= h(2)<= h(1)+1. The additional structures on the right hand sides in the (anti)commutators, compared to the above lambda=0 case, arise for the arbitrary weights h(1) and h(2) where the weight h(2) is outside of above region.

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