2015/11/30 by Yi Pang, Junchen Rong · 20 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Cosmology and Gravitation Theories #Crystallography #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics #Physics #Supergravity #Supersymmetry #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.93.065038
published in Physical review. D/Physical review. D. 93(6) (American Physical Society) · typos in appendix are corrected
openalex publication_date 2016/03/21 · openalex created_date 2016/06/24 · arxiv created 2019/11/01 · arxiv updated 2019/11/04 · openalex updated_date 2026/08/05
We calculate the Kaluza-Klein spectrum of spin-2 fluctuations around the N=3 warped AdS4\ifmmode×\else\texttimes\fiM6 solution in massive IIA supergravity. This solution was conjectured to be dual to the D=3 N=3 superconformal SU(N) Chern-Simons matter theory with level k and 2 adjoint chiral multiplets. The SO(3)R\ifmmode×\else\texttimes\fiSO(3)D isometry of the N=3 solution is identified with the SU(2)F\ifmmode×\else\texttimes\fiSU(2)R global symmetry of the dual N=3 supersymmetric conformal field theory (SCFT). We show that the SO(3)R\ifmmode×\else\texttimes\fiSO(3)D quantum numbers and the AdS energies carried by the BPS spin-2 modes match precisely with those of the spin-2 gauge invariant operators in the short multiplets of operators in the N=3 SCFT. We also compute the Euclidean action of the N=3 solution and the free energy of the N=3 SCFT on S3, in the limit N\ensuremath≫k. Remarkably, the results show a complete agreement.