2017/05/31 by Luis Apolo
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Central charge #Charge (physics) #Combinatorics #Conformal map #Dimension (graph theory) #Geometry #Mathematical physics #Mathematics #Particle physics #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #State (computer science) #hep-th
paper · pdf · doi:10.1103/physrevd.96.086003
published as Phys. Rev. D 96, 086003 (2017) · 8 pages, 1 figure; v2: added references, added bound on mass-to-charge ratio, corrected several equations in Section III and Appendix B that leave results unchanged, matches published version
openalex created_date 2017/06/05 · openalex publication_date 2017/10/06 · arxiv created 2017/10/11 · arxiv updated 2017/10/12 · openalex updated_date 2026/08/05
The scaling dimension of the first excited state in two-dimensional conformal field theories (CFTs) satisfies a universal upper bound. Using the modular bootstrap, we extend this result to CFTs with W3 algebras which are generically dual to higher spin theories in AdS3. Assuming unitarity and modular invariance, we show that the conformal weights h, h of the lightest charged state satisfy h<c/12+O(1) and h<c/12+O(1) in the limit where the central charges c, c are large. Furthermore, we show that in this limit any consistent CFT with W3 currents must contain at least one state whose W3 charge w obeys |w|>4|h\ensuremath-c/24|/√10\ensuremathπc+O(1). We discuss hints on the existence of stronger bounds and comment on the interpretation of our results in the dual higher spin theory.