Author:
Buchbinder Evgeny I.,Hutomo Jessica,Kuzenko Sergei M.
Abstract
Abstract
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 $$ \mathcal{N} $$
N
= 1 superconformal theory. We find that the correlation function of three such operators $$ \left\langle {\overline{S}}_{\dot{\alpha}(k)}\left({z}_1\right){S}_{\beta \left(k+l\right)}\left({z}_2\right){\overline{S}}_{\dot{\gamma}(l)}\left({z}_3\right)\right\rangle $$
S
¯
α
̇
k
z
1
S
β
k
+
l
z
2
S
¯
γ
̇
l
z
3
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 $$ \left\langle {\overline{S}}_{\dot{\alpha}(k)}\left({z}_1\right){S}_{\alpha (k)}\left({z}_2\right)L\left({z}_3\right)\right\rangle $$
S
¯
α
̇
k
z
1
S
α
k
z
2
L
z
3
and $$ \left\langle {\overline{S}}_{\dot{\alpha}(k)}\left({z}_1\right){S}_{\alpha (k)}\left({z}_2\right){J}_{\gamma \dot{\gamma}}\left({z}_3\right)\right\rangle $$
S
¯
α
̇
k
z
1
S
α
k
z
2
J
γ
γ
̇
z
3
, where L is the flavour current multiplet and $$ {J}_{\gamma \dot{\gamma}} $$
J
γ
γ
̇
is the supercurrent.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
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