TY - JOUR

T1 - Correlation functions of spinor current multiplets in N = 1 superconformal theory

AU - Buchbinder, Evgeny I.

AU - Hutomo, Jessica

AU - Kuzenko, Sergei M.

PY - 2021/7

Y1 - 2021/7

N2 - We consider N = 1 superconformal field theories in four dimensions possessing an additional conserved spinor current multiplet Sα and study three-point functions involving such an operator. A conserved spinor current multiplet naturally exists in superconformal theories with N = 2 supersymmetry and contains the current of the second supersymmetry. However, we do not assume N = 2 supersymmetry. We show that the three-point function of two spinor current multiplets and the N = 1 supercurrent depends on three independent tensor structures and, in general, is not contained in the three-point function of the N = 2 supercurrent. It then follows, based on symmetry considerations only, that the existence of one more Grassmann odd current multiplet in N = 1 superconformal field theory does not necessarily imply N = 2 superconformal symmetry.

AB - We consider N = 1 superconformal field theories in four dimensions possessing an additional conserved spinor current multiplet Sα and study three-point functions involving such an operator. A conserved spinor current multiplet naturally exists in superconformal theories with N = 2 supersymmetry and contains the current of the second supersymmetry. However, we do not assume N = 2 supersymmetry. We show that the three-point function of two spinor current multiplets and the N = 1 supercurrent depends on three independent tensor structures and, in general, is not contained in the three-point function of the N = 2 supercurrent. It then follows, based on symmetry considerations only, that the existence of one more Grassmann odd current multiplet in N = 1 superconformal field theory does not necessarily imply N = 2 superconformal symmetry.

KW - Extended Supersymmetry

KW - Superspaces

UR - http://www.scopus.com/inward/record.url?scp=85111312378&partnerID=8YFLogxK

U2 - 10.1007/JHEP07(2021)165

DO - 10.1007/JHEP07(2021)165

M3 - Article

AN - SCOPUS:85111312378

SN - 1029-8479

VL - 2021

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 7

M1 - 165

ER -