Spectrum of Large N Gauge Theory from Supergravity

Abstract

Recently, Maldacena proposed that the large N limit of the N=4 supersymmetric gauge theory in four dimensions with U(N) gauge group is dual to the type IIB superstring theory on AdS_5 x S^5. We use this proposal to study the spectrum of the large N gauge theory on R x S^3 in a low energy regime. We find that the spectrum is discrete and evenly spaced, and the number of states at each energy level is smaller than the one predicted by the naive extrapolation of the Bekenstein-Hawking formula to the low energy regime. We also show that the gauge theory describes a region of spacetime behind the horizon as well as the region in front.

8 pages, harvmac; final version to appear in Phys. Rev. Lett

Cited by in corpus (62)

• Large N Field Theories, String Theory and Gravity
• Wilson loops in large N field theories
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Type IIB superstring action in AdS_5 x S^5 background
• 4d Conformal Field Theories and Strings on Orbifolds
• Semiclassical quantization of rotating superstring in AdS_5 x S^5
• AdS/CFT duality and the black hole information paradox
• Bulk vs. Boundary Dynamics in Anti-de Sitter Spacetime
• Wilson-Polyakov Loop at Finite Temperature in Large N Gauge Theory and Anti-de Sitter Supergravity
• Multi-spin string solutions in AdS_5 x S^5
• Coupling Constant Dependence in the Thermodynamics of N=4 Supersymmetric Yang-Mills Theory
• Multi-Leg One-Loop Gravity Amplitudes from Gauge Theory
• Anti De Sitter Space And Holography
• Aspects of Large N Gauge Theory Dynamics as Seen by String Theory
• Beauty and the Twist: The Bethe Ansatz for Twisted N=4 SYM
• Wilson Loops, Confinement, and Phase Transitions in Large N Gauge Theories from Supergravity
• On Four-point Functions in the CFT/AdS Correspondence
• Multi-Instanton Calculus and the AdS/CFT Correspondence in N=4 Superconformal Field Theory
• On N=8 Supergravity on $Ad{S}_5$ and N=4 Superconformal Yang-Mills theory
• Evaluation Of Glueball Masses From Supergravity
• The No-ghost Theorem for AdS_3 and the Stringy Exclusion Principle
• AdS_5 x S^5 Untwisted
• Plasma-balls in large N gauge theories and localized black holes
• Scalar Absorption and the Breaking of the World Volume Conformal Invariance
• The Bekenstein Formula and String Theory (N-brane Theory)
• M Theory on AdS_p x S^{11-p} and Superconformal Field Theories
• Membranes and Fivebranes with Lower Supersymmetry and their AdS Supergravity Duals
• Gauge Theories from Orientifolds and Large N Limit
• AdS/CFT duality for non-relativistic field theory
• Conditional entropy of glueball states
• Orbifolds of AdS_5xS^5 and 4d Conformal Field Theories
• On Stringy Thresholds in SYM/AdS Thermodynamics
• The slowly rotating near extremal D1-D5 system as a `hot tube'
• A Supergravity Dual of a (1,0) Field Theory in Six Dimensions
• Canonical Quantization of Open String and Noncommutative Geometry
• Holography beyond the horizon and cosmic censorship
• Born-Infeld Corrections to D3 brane Action in $Ad{S}_5\times S_5$ and N=4, d=4 Primary Superfields
• QCD/String holographic mapping and high energy scattering amplitudes
• Greybody factor for the BTZ black hole and a 5D black hole
• Glueball Mass Spectrum from Supergravity
• On the Breaking of Conformal Symmetry in the AdS/CFT Correspondence
• N=1,2 4D Superconformal Field Theories and Supergravity in $Ad{S}_5$
• Quantized tension: Stringy amplitudes with Regge poles and parton behavior
• On Large N Gauge Theories from Orientifolds
• Note on Gauge Theories on M/G and the AdS/CFT Correspondence
• Anti-de Sitter space, branes, singletons, superconformal field theories and all that
• Black Holes and Five-brane Thermodynamics
• Comments On Hamiltonian Formalism Of $AdS/CFT$ correspondence
• Conformal symmetry and light flavor baryon spectra
• Extensivity Versus Holography in Anti-de Sitter Spaces
• Holography and Renormalization in Lorentzian Signature
• Large N limit of SYM theories with 16 supercharges from superstrings on Dp-brane backgrounds
• Two-Form Fields and the Gauge Theory Description of Black Holes
• On the consistency of the N=1 SYM spectra from wrapped five-branes
• ``Non chiral'' primary superfields in the AdS_{d+1}/CFT_d correspondence
• Spectrum of Chiral Operators in Strongly Coupled Gauge Theories
• Ideal gas matching for thermal Galilean holography
• Gravity on $Ad{S}_3$ and flat connections in the boundary CFT
• A 1+1 field theory spectrum from M theory
• Bulk versus boundary quantum states
• Dilaton test of connection between AdS_3 X S^3 and 5D black hole
• Quark-Monopole Potentials in Large N Super Yang-Mills