Speaker
Description
Confinement is a well-known phenomenon in the infrared regime of (supersymmetric) Yang-Mills theory. Although experiments and numerical simulations have solidly confirmed confinement, its physical origin remains mysterious today, and finding a theoretical explanation for it is a long-standing and challenging problem in physics and mathematics. Inspired by the recent progress in quantum Jackiw-Teitelboim gravity, we compute the Wilson loop correlators of the large-$N$ limit of $\mathcal{N}=4$ super-Yang-Mills theory holographically in an extremal AdS$_5$ Reissner-Nordstrom black brane background. The quantum gravity fluctuations of the near-horizon region are considered, which consequently affect the holographic Wilson loop correlators. Within this framework, the results suggest that the confinement of the super-Yang-Mills theory is induced by the near-horizon quantum gravity fluctuations of the bulk extremal AdS$_5$ black brane. Similar to the confinement, the mass gap of (supersymmetric) Yang-Mills theory can also be generated by the near-horizon quantum gravity fluctuations. In the talk, we will discuss these aspects, which are based on some of my recent papers with collaborators.