TL;DR
This paper suggests that in the BMN limit, the effective interaction vertex for 1/2 BPS operators in N=4 SYM can be described by the Das-Jevicki-Sakita Hamiltonian, matching known correlation corrections.
Contribution
It introduces the Das-Jevicki-Sakita Hamiltonian as the effective interaction vertex in the 1/2 BPS sector within the BMN limit of N=4 SYM.
Findings
Reproduces 1/N corrections to correlation functions
Validates the Hamiltonian approach with specific examples
Links the Hamiltonian to the structure of BPS correlators
Abstract
We propose that in the BMN limit the effective interaction vertex in the 1/2 BPS sector of N=4 SYM is given by the Das-Jevicki-Sakita Hamiltonian. We check for some examples that it reproduces the 1/N correction to the correlation functions of 1/2 BPS operators.
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