2025/08/27 by Fardelli, Giulia, Fitzpatrick, A. Liam, Li, Wei
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Statistical Mechanics (cond-mat.stat-mech)
paper · doi:10.48550/arxiv.2508.20160
We show how to construct a holographic effective theory for the leading-twist operators in the O(2) model in the 4-d=ε expansion up to O(ε2), based on the separation of short-distance and long-distance effects that arises as a function of spin J. We obtain the Hamiltonian of the theory and show that it correctly reproduces all the dimensions at O(ε2) of the leading twist operators for all values of the charge Q and spin J. The holographic Hamiltonian is given by the bulk exchange of a charged scalar ϕ, neutral scalar s ∼ ϕϕ^*, and a `ghost' field c, as well as a single local bulk interaction (ϕϕ^*)2. We analyze various aspects of the spectrum and discuss their interpretation in light of the bulk description.