BPS operators from the Wilson loop in the 3-dimensional supersymmetric Chern-Simons theory

Details BPS operators from the Wilson loop in the 3-dimensional supersymmetric Chern-Simons theory BPS operators from the Wilson loop in the 3-dimensional supersymmetric Chern-Simons theory

2009-02-13

arxiv.org/abs/0902.2381v4

Phys.Rev.D80:086001,2009

Physics

High Energy Physics

High Energy Physics - Theory

19 pages; v2: references added, minor corrections v3: references added, introduction changed, comments added v4: a reference a

Scientific paper

10.1103/PhysRevD.80.086001

We consider the small deformation of the point-like Wilson loop in the 3-dimensional $\mathcal{N}=6$ superconformal Chern-Simons theory. By Taylor expansion of the point-like Wilson loop in powers of the loop variables, we obtain the BPS operators that correspond to the excited string states of the dual IIA string theory on the pp wave background. The BPS conditions of the Wilson loop constrain both the loop variables and the forms of the operators obtained in the Taylor expansion.

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