# Implications of(formula presented.) superconformal symmetry in three spacetime dimensions

Evgeny I. Buchbinder, Sergei M. Kuzenko, Igor B. Samsonov

Research output: Contribution to journalArticle

9 Citations (Scopus)

### Abstract

Abstract: We study implications of N=4$$\mathcal{N}=4$$ superconformal symmetry in three dimensions, thus extending our earlier results in [1] devoted to the N≤3$$\mathcal{N}\le 3$$ cases. We show that the three-point function of the supercurrent in N=4$$\mathcal{N}=4$$ superconformal field theories contains two linearly independent forms. However, only one of these structures contributes to the three-point function of the energy-momentum tensor and the other one is present in those N=4$$\mathcal{N}=4$$ superconformal theories which are not invariant under the mirror map. We point out that general N=4$$\mathcal{N}=4$$ superconformal field theories admit two inequivalent flavour current multiplets and show that the three-point function of each of them is determined by one tensor structure. As an example, we compute the two- and three-point functions of the conserved currents in N=4$$\mathcal{N}=4$$ superconformal models of free hypermultiplets. We also derive the universal relations between the coefficients appearing in the two- and threepoint correlators of the supercurrent and flavour current multiplets in all superconformal theories with N≤4$$\mathcal{N}\le 4$$ supersymmetry. Our derivation is based on the use of Ward identities in conjunction with superspace reduction techniques.

Original language English 125 Journal of High Energy Physics 2015 8 https://doi.org/10.1007/JHEP08(2015)125 Published - 31 Aug 2015

### Keywords

• Extended Supersymmetry
• Superspaces

### ASJC Scopus subject areas

• Nuclear and High Energy Physics