SciPost Phys. 12 (2022) 055 arXiv: 2103.16580
D-branes and Orbit Average
Peihe Yang1, Yunfeng Jiang2,6,*, Shota Komatsu3,6, Jun-Bao Wu1,4,5
1. Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, 135 Yaguan Road, Tianjin 300350, P. R. China
2. Shing-Tung Yau Center amd School of physics, Southeast University, Nanjing 211189, P.R. China
3. School of Natural Sciences, Institute for Advanced Study, 1 Einstein Dr. Princeton, NJ 08540, U.S.A.
4. Peng Huanwu Center for Fundamental Theory, Hefei, Anhui 230026, P. R. China
5. Center for High Energy Physics, Peking University, 5 Yiheyuan Rd, Beijing 100871, P. R. China
6. Department of Theoretical Physics, CERN, 1 Esplanade des Particules, 1211 Meyrin, Switzerland
* Corresponding Authors.
Abstract
We study correlation functions of D-branes and a supergravity mode in AdS, which are dual to structure constants of two sub-determinant operators with large charge and a BPS single-trace operator. Our approach is inspired by the large charge expansion of CFT and resolves puzzles and confusions in the literature on the holographic computation of correlation functions of heavy operators. In particular, we point out two important effects which are often missed in the literature; the first one is an average over classical configurations of the heavy state, which physically amounts to projecting the state to an eigenstate of quantum numbers. The second one is the contribution from wave functions of the heavy state. To demonstrate the power of the method, we first analyze the three-point functions in N = 4 super Yang-Mills and reproduce the results in field theory from holography, including the cases for which the previous holographic computation gives incorrect answers. We then apply it to ABJM theory and make solid predictions at strong coupling. Finally we comment on possible applications to states dual to black holes and fuzzballs.
