Comments on 1/16 BPS Quantum States and Classical Configurations

摘要: We formulate the problem of counting 1/16 BPS states = 4 Yang Mills theory as enumeration local cohomology an operator acting on holomorphic fields C2. study aspects this at finite N, especially for operators constructed only out products covariant derivatives scalar fields, and compare our results to obtained from quantization giant gravitons dual giants. physically interpret that enter conditions supersymmetry semi-classically by deriving a set Bogomolnyi equations 1/16-BPS bosonic field configurations in R4 with reality properties boundary appropriate radial quantization. An arbitrary solution these free is parameterized data C2 lifts nearby interacting when constraints equivalent Q are obeyed.