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Paper IPM / P / 9558  


Abstract:  
We analyze the halfBPS sector of the N=8 3d SCFT within the radial quantization of the ABJM theory, the theory proposed to describe N M2branes in the R^3xC^4/Z_k background. We show that all the halfBPS states of this theory which exhibit SU(2)xSU(3) symmetry, are those which involve 't Hooft monopole operator and there is a onetoone correspondence between the set of these operators and the possible monopole operators in a sector with given Rcharge J. We show that all such monopole operators, and hence the halfBPS states, are labeled by Young tableaux of J boxes with maximum N rows. We discuss that the halfBPS sector has a description in terms of N 2d fermions. The same classification, though for the N case, arise from the planewave (BMN) Matrix theory as well as the 11 dimensional LLM bubbling geometries, providing supportive evidence for the ABJM and/or the Matrix model.
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