The free energy of N=2 supersymmetric AdS_4 solutions of M-theory
Maxime Gabella, Dario Martelli, Achilleas Passias, James Sparks
TL;DR
This paper demonstrates that N=2 supersymmetric AdS_4 solutions in M-theory possess a canonical contact structure, enabling the computation of dual field theory free energy and operator dimensions through contact volumes and localization techniques.
Contribution
It introduces a canonical contact structure for these solutions and derives formulas for free energy and operator dimensions using contact geometry and AdS/CFT correspondence.
Findings
Contact volume formulas for free energy
Topological and localization formulas for N^{3/2} coefficient
Explicit expressions for operator scaling dimensions
Abstract
We show that general N=2 supersymmetric AdS_4 solutions of M-theory with non-zero M2-brane charge admit a canonical contact structure. The free energy of the dual superconformal field theory on S^3 and the scaling dimensions of operators dual to supersymmetric wrapped M5-branes are expressed via AdS/CFT in terms of contact volumes. In particular, this leads to topological and localization formulae for the coefficient of N^{3/2} in the free energy of such solutions.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.