2024/12/02 by Paolo Arnaudo, Arnaudo, Paolo, Benjamin Withers +1 · 2 citations
Engineering · Mathematics · #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Spacecraft and Cryogenic Technologies #Strongly Correlated Electrons (cond-mat.str-el)
paper · pdf · doi:10.48550/arxiv.2412.01923
openalex publication_date 2024/12/02 · openalex created_date 2024/12/06 · openalex updated_date 2026/07/28
We obtain exact expressions for correlation functions of charged scalar operators at finite density and low temperature in CFT4 dual to the RN-AdS5 black brane. We use recent developments in the Heun connection problem in black hole perturbation theory arising from Liouville CFT and the AGT correspondence. The connection problem is solved perturbatively in an instanton counting parameter, which is controlled in a double-scaling limit where ω, T → 0 holding ω/T fixed. This provides analytic control over the emergence of the zero temperature branch cut as a confluent limit of the Heun equation. From the Green's function we extract analytic results for the critical temperature of the holographic superconductor, as well as dispersion relations for both gapped and gapless low temperature quasinormal modes. We demonstrate precise agreement with numerics.