4D and 2D superconformal index with surface operator

Details 4D and 2D superconformal index with surface operator 4D and 2D superconformal index with surface operator

2011-05-24

arxiv.org/abs/1105.4883v3

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, v3: typos corrected and references added

Scientific paper

We study the superconformal index of the N=4 super-Yang-Milles theory on S^3 X S^1 with the half BPS superconformal surface operator (defect) inserted at the great circle of S^3. The half BPS superconformal surface operators preserve the same supersymmetry as well as the symmetry of the chemical potential used in the definition of the superconformal index, so the structure and the parameterization of the superconformal index remain unaffected by the presence of the surface operator. On the surface defect, a two-dimensional (4,4) superconformal field theory resides, and the four-dimensional superconformal index may be regarded as a superconformal index of the two-dimensional (4,4) superconformal field theory coupled with the four-dimensional bulk system. We construct the matrix model that computes the superconformal index with the surface operator when it couples with the bulk N=4 super-Yang-Milles theory through the defect hypermultiplets on it.

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