On invariants and scalar chiral correlation functions in N=1 superconformal field theories

Details On invariants and scalar chiral correlation functions in N=1 superconformal field theories On invariants and scalar chiral correlation functions in N=1 superconformal field theories

2010-10-13

arxiv.org/abs/1010.2740v2

Int.J.Mod.Phys.A26:2007-2025,2011

Physics

High Energy Physics

High Energy Physics - Theory

11 pages; v2: minor changes, references added

Scientific paper

10.1142/S0217751X11053031

A general expression for the four-point function with vanishing total R-charge of anti-chiral and chiral superfields in N=1 superconformal theories is given. It is obtained by applying the exponential of a simple universal nilpotent differential operator to an arbitrary function of two cross ratios. To achieve this the nilpotent superconformal invariants according to Park are focused. Several dependencies between these invariants are presented, so that eight nilpotent invariants and 27 monomials of these invariants of degree d>1 are left being linearly independent. It is analyzed, how terms within the four-point function of general scalar superfields cancel in order to fulfill the chiral restrictions.

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