2018/08/31 by Pablo Bueno, Pablo A. Cano, Robie A. Hennigar +1 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Black Holes and Theoretical Physics #Combinatorics #Mathematical physics #Mathematics #Partition (number theory) #Physics #Quantum mechanics #Statistical physics #Tensor decomposition and applications #Theoretical physics #Universality (dynamical systems) #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevlett.122.071602
published as Phys. Rev. Lett. 122, 071602 (2019) · 11 pages, 2 figures; v3: minor modifications to match published version
openalex publication_date 2019/02/20 · arxiv created 2019/03/01 · arxiv updated 2019/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present several results concerning the free energy of odd-dimensional conformal field theories (CFTs) on squashed spheres. First, we propose a formula which computes this quantity for holographic CFTs dual to higher-curvature gravities with second-order linearized equations of motion. As opposed to standard on-shell action methods for Taub geometries, our formula only involves a simple evaluation of the corresponding bulk Lagrangian on an auxiliary pure anti-de Sitter (AdS) space. The expression is closely related to the function determining the possible AdS vacua of the bulk theory in question, which we argue to act as a generating functional from which correlation functions of the boundary stress tensor can be easily characterized. Finally, based on holographic results and free-field numerical calculations, we conjecture that the subleading term in the squashing-parameter free-energy expansion is universally controlled by the stress-tensor three-point function charge t4 for general (2+1)-dimensional CFTs.