Large N Field Theories, String Theory and Gravity

Creators: Aharony, Ofer; Gubser, Steven S.; Maldacena, Juan; Ooguri, Hirosi; Oz, Yaron

Abstract

We review the holographic correspondence between field theories and string/M theory, focusing on the relation between compactifications of string/M theory on Anti-de Sitter spaces and conformal field theories. We review the background for this correspondence and discuss its motivations and the evidence for its correctness. We describe the main results that have been derived from the correspondence in the regime that the field theory is approximated by classical or semiclassical gravity. We focus on the case of the N=4 supersymmetric gauge theory in four dimensions, but we discuss also field theories in other dimensions, conformal and non-conformal, with or without supersymmetry, and in particular the relation to QCD. We also discuss some implications for black hole physics.

Additional Information

© 2000 Elsevier. Received June 1999; editor: A. Schwimmer. We would like to thank T. Banks, M. Berkooz, A. Brandhuber, M. Douglas, D. Freedman, S. Giddings, D. Gross, G. Horowitz, K. Jansen, S. Kachru, D. Kutasov, E. Martinec, G. Moore, A. Rajaraman, N. Seiberg, E. Silverstein, L. Susskind, and E. Witten for many useful discussions. The research of O.A. was supported in part by DOE grant DE-FG02-96ER40559. O.A., J.M. and Y.O. would like to thank the Institute for Advanced Studies at the Hebrew University of Jerusalem for hospitality during part of this work. J.M. wants to thank the hospitality of the Institute for Advanced Study at Princeton, where he was a Raymond and Beverly Sackler Fellow. The research of J.M. was supported in part by DOE grant DE-FGO2-91ER40654, NSF grant PHY-9513835, the Sloan Foundation and the David and Lucile Packard Foundations. The research of S.S.G. was supported by the Harvard Society of Fellows, and also in part by the NSF under grant number PHY-98-02709, and by DOE grant DE-FGO2-91ER40654. S.S.G. also thanks the Institute for Theoretical Physics at Santa Barbara for hospitality. The research of H.O. was supported in part by National Science Foundation under Contract PHY-95-14797 and in part by the Director, Office of Science, Office of High Energy and Nuclear Physics, Division of High Energy Physics, of the U.S. Department of Energy under Contract DE-AC03-76SF00098.

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