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1/N correction in holographic Wilson loop from quantum gravity

2019/05/07 by Koji Hashimoto, Wataru Sasaki, Takayuki Sumimoto
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Cosmology and Gravitation Theories #Duality (order theory) #Euclidean quantum gravity #Gauge theory #Gravitation #Loop (graph theory) #Loop quantum gravity #Mathematical physics #Mathematics #Non-critical string theory #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum gravity #Quantum mechanics #String (physics) #String theory #Wilson loop #Worldsheet #gr-qc #hep-th

paper · pdf · doi:10.1007/jhep12(2019)138

15 pages, 9 figures

arxiv created 2019/05/07 · openalex publication_date 2019/12/01 · arxiv updated 2020/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

A bstract 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.

Citations