Superconformal two-point functions of the Nahm pole defect in N=4 super-Yang-Mills theory
Physics Letters B(2024)
Abstract
We derive a manifestly superconformal expression for the leading-order two-point functions of all single trace chiral primary operators in 4d N=4 super-Yang-Mills theory with a co-dimension one Nahm pole defect. Notably, our result involves only a finite number of superblocks that correspond to 1/2-BPS representations in the defect channel. The derivation builds on a non-trivial exact result for traces of fuzzy spherical harmonics in combination with powers of su(2) generators, which leads to a remarkably compact expression for the bulk-to-defect couplings. Apart from being interesting in its own right as a closed-form expression at finite N, the final result is an essential prerequisite for applying the defect superconformal bootstrap programme to this model.
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Key words
N=4 super-Yang-Mills,Nahm pole,Defect conformal field theory,Defect superconformal bootstrap
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