- Large N Field Theories, String Theory & Gravity (Elsevier, 2000).pdf

O. Aharony et al. / Physics Reports 323 (2000) 183}386 183
LARGE N FIELD THEORIES, STRING THEORY
AND GRAVITY
Ofer AHARONY!, Steven S. GUBSER", Juan MALDACENA"#,
Hirosi OOGURI$%, Yaron OZ&
! Department of Physics and Astronomy, Rutgers University, Piscataway, NJ 08855-0849, USA
" Lyman Laboratory of Physics, Harvard University, Cambridge, MA 02138, USA
# School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540, USA
$ Department of Physics, University of California, Berkeley, CA 94720-7300, USA
% Lawrence Berkeley National Laboratory, MS 50A-5101, Berkeley, CA 94720, USA
&Theory Division, CERN, CH-1211, Geneva 23, Switzerland
AMSTERDAM } LAUSANNE } NEW YORK } OXFORD } SHANNON } TOKYO
Physics Reports 323 (2000) 183}386
Large N "eld theories, string theory and gravity
Ofer Aharony!, Steven S. Gubser", Juan Maldacena"#, Hirosi Ooguri$%,
Yaron Oz&*
!Department of Physics and Astronomy, Rutgers University, Piscataway, NJ 08855-0849, USA
"Lyman Laboratory of Physics, Harvard University, Cambridge, MA 02138, USA
#School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540, USA
$Department of Physics, University of California, Berkeley, CA 94720-7300, USA
%Lawrence Berkeley National Laboratory, MS 50A-5101, Berkeley, CA 94720, USA
&Theory Division, CERN, CH-1211, Geneva 23, Switzerland
Received June 1999; editor: A. Schwimmer
Contents
1. Introduction 186 5. AdS 302
. General introduction and overview 186 . The Virasoro algebra 302
. Large N gauge theories as string theories 190 . The BTZ black hole 303
; ; 
. Black p-branes 195 . Type IIB string theory on AdS S M 305
2. Conformal "eld theories and AdS spaces 207 . Other AdS compacti"cations 317
. Conformal "eld theories 207 . Pure gravity 319
. Anti-de Sitter space 212 . Greybody factors 319
3. AdS/CFT correspondence 225 . Black holes in "ve dimensions 324
. The correspondence 225