2020/01/27 by Pablo Bueno, Pablo A. Cano, Robie A. Hennigar +2
Physics and Astronomy · #hep-th #gr-qc
paper · pdf · doi:10.1007/jhep04(2020)123
52 pages, 2 figures
arxiv created 2020/01/27 · arxiv updated 2020/05/20
We argue that the conjectural relation between the subleading term in the small-squashing expansion of the free energy of general three-dimensional CFTs on squashed spheres and the stress-tensor three-point charge t4 proposed in arXiv:1808.02052: F_\mathbbS3ε(3)(0)=(1)/(630)π4 C\scriptscriptstyle T t4, holds for an infinite family of holographic higher-curvature theories. Using holographic calculations for quartic and quintic Generalized Quasi-topological gravities and general-order Quasi-topological gravities, we identify an analogous analytic relation between such term and the charges t2 and t4 valid for five-dimensional theories: F_\mathbbS5ε(3)(0)=(2)/(15)π6 C \scriptscriptstyle T [1+(3)/(40) t2+(23)/(630) t4]. We test both conjectures using new analytic and numerical results for conformally-coupled scalars and free fermions, finding perfect agreement.