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Bootstrap equations for N=4 SYM with defects
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DOI：10.1007/JHEP01(2017)122.png)
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摘要
En 中文
This paper focuses on the analysis of 4d N = 4 superconformal theories in the presence of a defect from the point of view of the conformal bootstrap. We will concentrate first on the case of codimension one, where the defect is a boundary that preserves half of the supersymmetry. After studying the constraints imposed by supersymmetry, we will obtain the Ward identities associated to two -point functions of -BPS operators and write their solution as a superconformal block expansion. Due to a surprising connection between spacetime and R -symmetry conformal blocks, our results not only apply to 4d N = 4 superconformal theories with a boundary, but also to three more systems that have the same symmetry algebra: 4d N = 4 superconformal theories with a line defect, 3d N = 4 superconformal theories with no defect, and OSP(414) superconformal quantum mechanics. The superconformal algebra implies that all these systems possess a closed subsector of operators in which the bootstrap equations become polynomial constraints on the CFT data. We derive these truncated equations and initiate the study of their solutions.
Keyword:
Conformal Field Theory
Superspaces
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IF:
5.5
论文数:
4.0W
被引数:
13.7W
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