2021/06/30 by Scott Collier, Alexander Maloney
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boson #Cosmology and Gravitation Theories #Duality (order theory) #Mathematical analysis #Mathematics #Partition function (quantum field theory) #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Series (stratigraphy) #Statistical physics #Theoretical physics #Wormhole #hep-th
paper · pdf · doi:10.1007/jhep03(2022)004
39 pages + appendices. v2: references added, typos corrected
arxiv created 2021/07/01 · openalex publication_date 2022/03/01 · arxiv updated 2022/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the spectral statistics of primary operators in the recently formulated ensemble average of Narain's family of free boson conformal field theories, which provides an explicit (though exotic) example of an averaged holographic duality. In particular we study moments of the partition function by explicit computation of higher-degree Eisenstein series. This describes the analog of wormhole contributions coming from a sum of over geometries in the dual theory of "U(1) gravity" in AdS3. We give an exact formula for the two-point correlation function of the density of primary states. We compute the spectral form factor and show that the wormhole sum reproduces precisely the late time plateau behaviour related to the discreteness of the spectrum. The spectral form factor does not exhibit a linear ramp.