2024/11/13 by Junho Hong, Hong, Junho · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · pdf · doi:10.48550/arxiv.2411.09006
openalex publication_date 2024/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We undertake a comprehensive analysis of the supersymmetric partition function of the U(N)k\timesU(N)-k ABJM theory on a Seifert manifold, evaluating it to all orders in the 1/N-perturbative expansion up to exponentially suppressed corrections. Through holographic duality, our perturbatively exact result is successfully matched with the regularized on-shell action of a dual Euclidean AdS4-Taub-Bolt background incorporating 4-derivative corrections, and also provides valuable insights into the logarithmic corrections that emerge from the 1-loop calculations in M-theory path integrals. In this process, we revisit the Euclidean AdS4-Taub-Bolt background carefully, elucidating the flat connection in the background graviphoton field. This analysis umambiguously determines the U(1)R holonomy along the Seifert fiber, thereby solidifying the holographic comparison regarding the partition function on a large class of Seifert manifolds.