Gauge theory correlators from noncritical string theory
Abstract
We suggest a means of obtaining certain Green's functions in 3+1dimensional N=4 supersymmetric YangMills theory with a large number of colors via noncritical string theory. The noncritical string theory is related to critical string theory in antideSitter background. We introduce a boundary of the antideSitter space analogous to a cutoff on the Liouville coordinate of the twodimensional string theory. Correlation functions of operators in the gauge theory are related to the dependence of the supergravity action on the boundary conditions. From the quadratic terms in supergravity we read off the anomalous dimensions. For operators that couple to massless string states it has been established through absorption calculations that the anomalous dimensions vanish, and we rederive this result. The operators that couple to massive string states at level n acquire anomalous dimensions that grow as 2(ng_{YM}sqrt(2N))^{1/2} for large `t Hooft coupling. This is a new prediction about the strong coupling behavior of large N SYM theory.
 Publication:

Physics Letters B
 Pub Date:
 May 1998
 DOI:
 10.1016/S03702693(98)003773
 arXiv:
 arXiv:hepth/9802109
 Bibcode:
 1998PhLB..428..105G
 Keywords:

 High Energy Physics  Theory
 EPrint:
 15 pages, harvmac with btxmac