Gauge theory correlators from non-critical string theory

S. S. Gubser, I. R. Klebanov, A. M. Polyakov

Research output: Contribution to journalArticlepeer-review

7343 Scopus citations


We suggest a means of obtaining certain Green's functions in 3 + 1-dimensional N = 4 supersymmetric Yang-Mills theory with a large number of colors via non-critical string theory. The non-critical string theory is related to critical string theory in anti-deSitter background. We introduce a boundary of the anti-deSitter space analogous to a cut-off on the Liouville coordinate of the two-dimensional 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(ngYM√2N)1/2 for large 't Hooft coupling. This is a new prediction about the strong coupling behavior of large N SYM theory.

Original languageAmerican English
Pages (from-to)105-114
Number of pages10
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number1-2
StatePublished - May 28 1998

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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