CORRELATORS OF THE GLOBAL SYMMETRY CURRENTS OF 4D AND 6D SUPERCONFORMAL THEORIES

We study the two-point correlators of the currents of the E-8 global s ymmetry in the N = (1, 0) superconformal six-dimensional theory as wel l as in the 4D superconformal theories upon toroidal compactification. From the high-energy behavior of the correlator we deduce that in 4D 10 copies of the superconformal theory with E-8 global symmetry can be coupled to an N = 2 E-8 gauge theory. We present three alternative de rivations for the expression for the correlators. One from field theor y, one from M-theory and one from F-theory. (C) 1998 Elsevier Science B.V.