BMN-like sectors in 4d $\mathcal N=4$ SYM with boundaries and interfaces

TL;DR

This paper investigates BMN-like sectors in 4d $ abla$=4 SYM with boundaries and interfaces, identifying Penrose limits in holographic duals that reveal spectra of operators with large R-charge.

Contribution

It introduces a new analysis of BMN-like sectors in boundary and interface theories of 4d $ abla$=4 SYM, linking Penrose limits to operator spectra and flavor symmetries.

Findings

Identified Penrose limits corresponding to BMN-like sectors in boundary and interface theories.

Mapped the spectrum of large R-charge operators to specific pp-wave geometries.

Connected the number of sectors to the flavor symmetry of the CFT.

Abstract

4d $\mathcal N=4$ SYM admits half-BPS boundaries, defects and interfaces as well as compactifications to 3d $\mathcal N\,{=}\,4$ SCFTs, realized as intersections of D3, D5 and NS5 branes. We explore operators with large R-charge. We identify Penrose limits in the holographic duals with geometry $\rm AdS_4\times S^2\times S^2\times\Sigma$, which describe, for each theory, a spectrum of `seed' operators which each give rise to a BMN-like sector described by a pp-wave. We relate the number of BMN-like sectors to the flavor symmetry of the CFT. For a sample of theories including the Janus interface, D3/D5 BCFTs and BCFTs with 3d SCFTs on the boundary, we determine the spectra of nearby operators and discuss the field theory realization of the seed operators. We further identify families of Penrose limits which give rise to more general pp-wave sectors.