Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-05-27
JHEP 0208 (2002) 014
Physics
High Energy Physics
High Energy Physics - Theory
LaTex, 32 pages, 1 figure, discussion of correlation functions extended; some corrections made; references added
Scientific paper
10.1088/1126-6708/2002/08/014
The pp-wave (Penrose limit) in conformal field theory can be viewed as a special contraction of the unitary representations of the conformal group. We study the kinematics of conformal fields in this limit in a geometric approach where the effect of the contraction can be visualized as an expansion of space-time. We discuss the two common models of space-time as carrier spaces for conformal fields: One is the usual Minkowski space and the other is the coset of the conformal group over its maximal compact subgroup. We show that only the latter manifold and the corresponding conformal representation theory admit a non-singular contraction limit. We also address the issue of correlation functions of conformal fields in the pp-wave limit. We show that they have a well-defined contraction limit if their space-time dependence merges with the dependence on the coordinates of the R symmetry group. This is a manifestation of the fact that in the limit the space-time and R symmetries become indistinguishable. Our results might find applications in actual calculations of correlation functions of composite operators in N=4 super Yang-Mills theory.
Arutyunov Gleb
Sokatchev Emery
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