D-Brane Solutions from New Isometries of pp-Waves

TL;DR

This paper constructs D-brane solutions in solvable pp-wave backgrounds derived from $AdS_3\times S^3$, revealing symmetry breaking due to background fluxes and connecting to M5-branes, using isometries and T-duality.

Contribution

It introduces new D-brane solutions in pp-wave backgrounds utilizing recently identified isometries and T-duality, highlighting symmetry breaking and connections to M-theory.

Findings

Constructed D4 and D3 brane solutions in pp-wave backgrounds.

Demonstrated solutions satisfy field equations and preserved supersymmetry.

Linked solutions to M5-branes in pp-wave geometry.

Abstract

We use recently proposed translations isometries of pp-waves to construct D4 and D3 brane solutions, using T-duality transformations, in exactly solvable pp-wave background originating from $AdS_3\times S^3$ geometry. A unique property of the new brane solutions is the breaking of SO(10-p-1) symmetry in the transverse direction of the branes due to the presence of constant NS-NS and R-R background fluxes. We verify that the our `localized' solutions satisfy the field equations and explicitly present the corresponding Killing spinors. We also show the connection of our results to certain M5-branes in pp-wave geometry.