TY - JOUR

T1 - Gauge theory correlators from non-critical string theory

AU - Gubser, S. S.

AU - Klebanov, I. R.

AU - Polyakov, A. M.

N1 - Funding Information: We would like to thank C. Callan and the participants of the “Dualities in String Theory” program at ITP, Santa Barbara, for useful discussions. I.R.K. is grateful to ITP for hospitality during the completion of this paper. This research was supported in part by the National Science Foundation under Grants No. PHY94-07194 and PHY96-00258, by the Department of Energy under Grant No. DE-FG02-91ER40671, and by the James S. McDonnell Foundation under Grant No. 91-48. S.S.G. also thanks the Hertz Foundation for its support.

PY - 1998/5/28

Y1 - 1998/5/28

N2 - 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.

AB - 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.

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U2 - 10.1016/S0370-2693(98)00377-3

DO - 10.1016/S0370-2693(98)00377-3

M3 - Article

SN - 0370-2693

VL - 428

SP - 105

EP - 114

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-2

ER -