PP-waves from rotating and continuously distributed D3-branes

TL;DR

This paper explores time-dependent PP-wave solutions derived from rotating and distributed D3-branes in type-IIB supergravity, analyzing their supersymmetry, dual field theory implications, and exact string spectra.

Contribution

It introduces new time-dependent PP-wave backgrounds from D3-brane configurations and provides exact string spectrum calculations in several cases.

Findings

Solutions preserve sixteen supersymmetries

Exact bosonic and fermionic spectra determined for certain cases

Special states identified at specific light-cone momenta P_+.

Abstract

We study families of PP-wave solutions of type-IIB supergravity that have (light-cone) time dependent metrics and RR five-form fluxes. They arise as Penrose limits of supergravity solutions that correspond to rotating or continuous distributions of D3-branes. In general, the solutions preserve sixteen supersymmetries. On the dual field theory side these backgrounds describe the BMN limit of N=4 SYM when some scalars in the field theory have non-vanishing expectation values. We study the perturbative string spectrum and in several cases we are able to determine it exactly for the bosons as well as for the fermions. We find that there are special states for particular values of the light-cone constant P_+.