Work

Scaling dimension of operators from the black hole interior

Year: 2025

Type: article

Abstract: We propose a method to constrain the scaling dimension of the operators of the strongly interacting systems (SIS) using the holographic setup. We demonstrate our method using the holographic superconductor theory. The idea is to consider the inside as well as the outside of the AdS black hole in which the gap equations has higher order singularities. Then the equivalence principle requests the solution be smoothly connected at the horizon, which request the vanishing of log divergent term as well as an indefinite conditionally convergent terms that can lead to any real number according to Riemann. As a result, one gets quantized values of the scaling dimension of the condensing operator. This is a pleasant surprise because so far one gets the constraints on the scaling dimension only by a hard analysis with bootstrap ansatz.

Source: Physics Letters B

DOI: 10.1016/j.physletb.2025.140043

Authors: Yoon-Seok Choun, Ki-Seok Kim, Sang-Jin Sin, Taewon Yuk

Institutions: Hanyang University, Pohang University of Science and Technology, Asia Pacific Center for Theoretical Physics

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: National Research Foundation of Korea, Ministry of Education, Science and Technology

Awards: G1724541146, G4265802056, G6460402875