Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 3, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP03(2016)031
Keywords
Supersymmetric gauge theory; Extended Supersymmetry; Scattering Amplitudes; Superspaces
Categories
Funding
- Investissements d'avenir, Labex ENIGMASS
- RFBR [14-01-00341]
- DFG [Ed 78/4-2]
- STFC [ST/L000407/1]
- Marie Curie network GATIS of the European Union's Seventh Framework Programme [317089]
- French National Agency for Research [BLANCSIMI-4-2011]
- STFC [ST/L000407/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/L000407/1] Funding Source: researchfish
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We describe a new approach to computing the chiral part of correlation functions of stress-tensor supermultiplets in N = 4 SYM that relies on symmetries, analytic properties and the structure of the OPE only. We demonstrate that the correlation functions are given by a linear combination of chiral N = 4 superconformal invariants accompanied by coefficient functions depending on the space-time coordinates only. We present the explicit construction of these invariants and show that the six-point correlation function is fixed in the Born approximation up to four constant coefficients by its symmetries. In addition, the known asymptotic structure of the correlation function in the light-like limit fixes unambiguously these coefficients up to an overall normalization. We demonstrate that the same approach can be applied to obtain a representation for the six-point NMHV amplitude that is free from any auxiliary gauge fixing parameters, does not involve spurious poles and manifests half of the dual superconformal symmetry.
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