Author:
Bercini Carlos,Gonçalves Vasco,Homrich Alexandre,Vieira Pedro
Abstract
Abstract
We reduce the computation of three point function of three spinning operators with arbitrary polarizations in 𝒩 = 4 SYM to a statistical mechanics problem via the hexagon formalism. The central building block of these correlation functions is the hexagon partition function. We explore its analytic structure and use it to generate perturbative data for spinning three point functions. For certain polarizations and any coupling, we express the full asymptotic three point function in determinant form. With the integrability approach established we open the ground to study the large spin limit where dualities with null Wilson loops and integrable pentagons must appear.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference31 articles.
1. B. Basso, S. Komatsu and P. Vieira, Structure constants and integrable bootstrap in planar N = 4 SYM theory, arXiv:1505.06745 [INSPIRE].
2. T. Fleury and S. Komatsu, Hexagonalization of correlation functions, JHEP 01 (2017) 130 [arXiv:1611.05577] [INSPIRE].
3. C. Bercini, V. Gonçalves and P. Vieira, Light-cone bootstrap of higher point functions and Wilson loop duality, Phys. Rev. Lett. 126 (2021) 121603 [arXiv:2008.10407] [INSPIRE].
4. N. Beisert, The SU(2|2) dynamic S-matrix, Adv. Theor. Math. Phys. 12 (2008) 945 [hep-th/0511082] [INSPIRE].
5. N. Beisert, The analytic Bethe ansatz for a chain with centrally extended SU(2|2) symmetry, J. Stat. Mech. 0701 (2007) P01017 [nlin/0610017] [INSPIRE].
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