Diagonal form factors and hexagon form factors. II: Non-BPS light operator. (English) Zbl 1373.81330
Summary: We study the asymptotic volume dependence of the heavy-heavy-light three-point functions in the \( \mathcal{N}=4 \) Super-Yang-Mills theory using the hexagon bootstrap approach, where the volume is the length of the heavy operator. We extend the analysis of our previous short letter [ibid. 2016, No. 6, 120 (2016; doi:10.1007/JHEP07(2016)120)] to the general case where the heavy operators can be in any rank one sector and the light operator being a generic non-BPS operator. We prove the conjecture of Z. Bajnok et al. [ibid. 2014, No. 9, 50 (2014, doi:10.1007/JHEP09(2014)050)] up to leading finite size corrections.
MSC:
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 82B23 | Exactly solvable models; Bethe ansatz |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 81T60 | Supersymmetric field theories in quantum mechanics |
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