TY - JOUR
T1 - Three-point functions of higher-spin spinor current multiplets in N = 1 superconformal theory
AU - Buchbinder, Evgeny I.
AU - Hutomo, Jessica
AU - Kuzenko, Sergei M.
PY - 2021/10
Y1 - 2021/10
N2 - In this paper, we study the general form of three-point functions of conserved current multiplets Sα(k) = S(α1…αk) of arbitrary rank in four-dimensional N = 1 superconformal theory. We find that the correlation function of three such operators 〈 S¯ α̇(k)(z1) Sβ(k+l)(z2) S¯ γ̇(l)(z3) 〉 is fixed by the superconformal symmetry up to a single complex coefficient though the precise form of the correlator depends on the values of k and l. In addition, we present the general structure of mixed correlators of the form 〈 S¯ α̇(k)(z1) Sα(k)(z2) L(z3) 〉 and 〈 S¯ α̇(k)(z1) Sα(k)(z2) Jγγ̇(z3) 〉 , where L is the flavour current multiplet and Jγγ̇ is the supercurrent.
AB - In this paper, we study the general form of three-point functions of conserved current multiplets Sα(k) = S(α1…αk) of arbitrary rank in four-dimensional N = 1 superconformal theory. We find that the correlation function of three such operators 〈 S¯ α̇(k)(z1) Sβ(k+l)(z2) S¯ γ̇(l)(z3) 〉 is fixed by the superconformal symmetry up to a single complex coefficient though the precise form of the correlator depends on the values of k and l. In addition, we present the general structure of mixed correlators of the form 〈 S¯ α̇(k)(z1) Sα(k)(z2) L(z3) 〉 and 〈 S¯ α̇(k)(z1) Sα(k)(z2) Jγγ̇(z3) 〉 , where L is the flavour current multiplet and Jγγ̇ is the supercurrent.
KW - Conformal Field Theory
KW - Superspaces
UR - http://www.scopus.com/inward/record.url?scp=85116725867&partnerID=8YFLogxK
U2 - 10.1007/JHEP10(2021)058
DO - 10.1007/JHEP10(2021)058
M3 - Article
AN - SCOPUS:85116725867
SN - 1029-8479
VL - 2021
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 10
M1 - 58
ER -