2013/05/31 by Chi‐Ming Chang, Chi-Ming Chang, Xi Yin
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Conjecture #Cosmology and Gravitation Theories #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #hep-th
paper · pdf · doi:10.1103/physrevd.88.106005
published as Phys. Rev. D 88, 106005 (2013) · 14 pages;a new section added
arxiv created 2013/09/05 · openalex publication_date 2013/11/22 · arxiv updated 2013/11/27 · openalex created_date 2017/05/26 · openalex updated_date 2026/08/01
We investigate the problem of counting 1/16 Bogomol'nyi-Prasad-Sommerfield (BPS) operators in N=4 super-Yang-Mills theory at weak coupling. We present the complete set of 1/16 BPS operators in the infinite-N limit, which agrees with the counting of free BPS multigraviton states in the gravity dual AdS5\ifmmode×\else\texttimes\fiS5. Further, we conjecture that all 1/16 BPS operators in N=4 super-Yang-Mills theory are of the multigraviton form, and give numerical evidence for this conjecture. We discuss the implication of our conjecture and the seeming failure in reproducing the entropy of large 1/16 BPS black holes in AdS5.