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1/16 BPS states in N=4 super-Yang-Mills theory

Chi-Ming Chang Center for the Fundamental Laws of Nature, Jefferson Physical Laboratory, Harvard University, Cambridge, Massachusetts 02138, USA Xi Yin Center for the Fundamental Laws of Nature, Jefferson Physical Laboratory, Harvard University, Cambridge, Massachusetts 02138, USA

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.74002

Physical Review D, 88, (106005), 2013.11
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 AdS_5×S^5. 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 AdS_5.
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@inproceedings{chi-ming20131/16,
  title={1/16 BPS states in N=4 super-Yang-Mills theory},
  author={Chi-Ming Chang, and Xi Yin},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220702133046392797497},
  booktitle={Physical Review D},
  volume={88},
  number={106005},
  year={2013},
}
Chi-Ming Chang, and Xi Yin. 1/16 BPS states in N=4 super-Yang-Mills theory. 2013. Vol. 88. In Physical Review D. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220702133046392797497.
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