1/16 BPS States in N=4 SYM

Abstract

We investigate the problem of counting 1/16 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 multi-graviton states in the gravity dual AdS5xS5. Further, we conjecture that all 1/16 BPS operators in N=4 SYM are of the multi-graviton form, and give numerical evidences 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.

14 pages;a new section added

References in corpus (5)

• Review of AdS/CFT Integrability: An Overview
• Supersymmetric multi-charge AdS_5 black holes
• Comments on 1/16 BPS Quantum States and Classical Configurations
• 1/16-BPS Black Holes and Giant Gravitons in the AdS_5 X S^5 Space
• Supergravitons from one loop perturbative N=4 SYM

Cited by in corpus (28)

• Black holes in 4d $\mathcal{N}=4$ Super-Yang-Mills
• Quantum Black Hole Entropy from 4d Supersymmetric Cardy formula
• Lectures on AdS Black Holes, Holography and Localization
• Cardy-like asymptotics of the 4d $\mathcal{N}=4$ index and AdS${}_5$ blackholes
• Supersymmetric SYK models
• Decoding stringy near-supersymmetric black holes
• Exact Stringy Microstates from Gauge Theories
• BPS Chaos
• Aspects of Non-Relativistic Quantum Field Theories
• Interacting Giant Gravitons from Spin Matrix Theory
• On Melonic Supertensor Models
• Lectures on mathematical aspects of (twisted) supersymmetric gauge theories
• Holomorphic field theories and Calabi--Yau algebras
• Semi-Chiral Operators in 4d $\mathcal{N}=1$ Gauge Theories
• The Panorama of Spin Matrix Theory
• Microscopic Entropy of AdS${}_3$ Black Holes Revisited
• Spin Matrix Theory in near $\frac{1}{8}$-BPS corners of $\mathcal{N}=4$ super-Yang-Mills
• The Phase Diagram of BPS Black Holes in AdS${}_5$
• The giant graviton expansion in $Ad{S}_5\times S^5$
• Supersymmetric Grey Galaxies, Dual Dressed Black Holes and the Superconformal Index
• Black hole superpotential as a unifying entropy function and BPS thermodynamics
• Fortuity and Supergravity
• Witten index of BMN matrix quantum mechanics
• Hawking-Page transition on a spin chain
• Symmetry structure of the interactions in near-BPS corners of $\mathcal{N}=4$ super-Yang-Mills
• The Resolved Elliptic Genus and the D1-D5 CFT
• Loop Corrected Supercharges from Holomorphic Anomalies
• Off-shell phase diagram of BPS black holes in AdS${}_5$