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UBC Theses and Dissertations

Lollipop diagrams in defect N=4 super Yang-Mills theory Guo, Bin


In this thesis, we have studied the lollipop diagrams in defect $\mathcal{N}$=4 super Yang-Mills field theory with nontrivial background, which is dual to the D3-D5 brane system with the probe D5 brane carrying k units of flux. Using the framework for performing loop computations for this system built by Buhl-Mortensen, Leeuw, Ipsen, Kristjansen and Wilhelm, we prove that for arbitrary N and k, the contribution of the lollipop diagrams to the one-point function is zero. This improves their result, where they take the planar limit N>>1 and the probe brane limit k/N<<1.

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