Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-01-18
Nucl.Phys. B635 (2002) 3-32
Physics
High Energy Physics
High Energy Physics - Theory
LaTex, 30 p, minor corrections, one reference added
Scientific paper
We study the structure of the four-point correlation function of the lowest-dimension 1/2 BPS operators (stress-tensor multiplets) in the (2,0) six-dimensional theory. We first discuss the superconformal Ward identities and the group-theoretical restrictions on the corresponding OPE. We show that the general solution of the Ward identities is expressed in terms of a single function of the two conformal cross-ratios ("prepotential"). Using the maximally extended gauged seven-dimensional supergravity, we then compute the four-point amplitude in the supergravity approximation and identify the corresponding prepotential. We analyze the leading terms in the OPE by performing a conformal partial wave expansion and show that they are in agreement with the non-renormalization theorems following from representation theory. The investigation of the (2,0) theory is carried out in close parallel with the familiar four-dimensional N=4 super-Yang-Mills theory.
Arutyunov Gleb
Sokatchev Emery
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