1/N correction in holographic Wilson loop from quantum gravity

Abstract

Abstract We study 1/N corrections to a Wilson loop in holographic duality. Extending the AdS/CFT correspondence beyond the large N limit is an important but a subtle issue, as it needs quantum gravity corrections in the gravity side. To find a physical property of the quantum corrected geometry of near-horizon black 0-branes previously obtained by Hyakutake, we evaluate a Euclidean string worldsheet hanging down in the geometry, which corresponds to a rectangular Wilson loop in the SU(N) quantum mechanics with 16 supercharges at a finite temperature with finite N . We find that the potential energy defined by the Wilson loop increases due to the 1/N correction, therefore the quantum gravity correction weakens the gravitational attraction.

Keywords

• AdS-CFT Correspondence
• Wilson
• ’t Hooft and Polyakov loops
• Models of Quantum Gravity