Exact Correlators of Giant Gravitons from dual N=4 SYM
Abstract
A class of correlation functions of halfBPS composite operators are computed exactly (at finite $N$) in the zero coupling limit of N=4 SYM theory. These have a simple dependence on the fourdimensional spacetime coordinates and are related to correlators in a onedimensional Matrix Model with complex Matrices obtained by dimensional reduction of N=4 SYM on a threesphere. A key technical tool is FrobeniusSchur duality between symmetric and Unitary groups and the results are expressed simply in terms of U(N) group integrals or equivalently in terms of LittlewoodRichardson coefficients. These correlation functions are used to understand the existence/properties of giant gravitons and related solutions in the string theory dual on $ AdS_5 \times S^5$. Some of their properties hint at integrability in N=4 SYM.
 Publication:

arXiv eprints
 Pub Date:
 November 2001
 arXiv:
 arXiv:hepth/0111222
 Bibcode:
 2001hep.th...11222C
 Keywords:

 High Energy Physics  Theory
 EPrint:
 28 pages (harvmac big)