N=4 supersymmetric linear W? [?] algebra

초록

From the recently known Ai 1/4 2 supersymmetric linear WK;K ee 1/2A??? algebra where K is the dimension of the fundamental (or antifundamental) representation of the bifundamental /3y and bc ghost system, we determine its Ai 1/4 4 supersymmetric enhancement at K 1/4 2. We construct the Ai 1/4 4 stress energy tensor, the first Ai 1/4 4 multiplet, and their operator product expansions (OPEs) in terms of the above bifundamentals. We show that the OPEs between the first Ai 1/4 4 multiplet and itself are the same as the corresponding ones in the Ai 1/4 4 coset SU??N??2?? SU??N?? model under the large ??N; k?? ???t Hooft???like limit with fixed Aco ??? ??N??1?? ??k??N??2??, up to two central terms. The two parameters are related to each other, A 1/412Aco. We also provide other OPEs by considering the second, the third, and the fourth Ai 1/4 4 multiplets in the Ai 1/4 4 supersymmetric linear Wee1/2A??? algebra.

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