Abstract
We compute form factors of half-BPS operators in \( \mathcal{N} \) = 4 super Yang-Mills dual to massive Kaluza-Klein modes in supergravity. These are appropriate supersymmetrisations \( {{\mathcal{T}}_k} \) of the scalar operators Tr (ϕ k) for any k, which for k = 2 give the chiral part of the stress-tensor multiplet operator. Using harmonic superspace, we derive simple Ward identities for these form factors, which we then compute perturbatively at tree level and one loop. We propose a novel on-shell recursion relation which links form factors with different numbers of fields. Using this, we conjecture a general formula for the n-point MHV form factors of \( {{\mathcal{T}}_k} \) for arbitrary k and n. Finally, we use supersymmetric generalised unitarity to derive compact expressions for all one-loop MHV form factors of \( {{\mathcal{T}}_k} \) in terms of one-loop triangles and finite two-mass easy box functions.
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Penante, B., Spence, B., Travaglini, G. et al. On super form factors of half-BPS operators in \( \mathcal{N} \) =4 super Yang-Mills. J. High Energ. Phys. 2014, 83 (2014). https://doi.org/10.1007/JHEP04(2014)083
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DOI: https://doi.org/10.1007/JHEP04(2014)083