Oblique and curved D-branes in IIB plane-wave string theory

TL;DR

This paper constructs and analyzes oblique and curved D-branes in type IIB plane-wave string theory, revealing their supersymmetry properties and boundary conditions from both boundary state and open string perspectives.

Contribution

It provides explicit constructions of oblique D-branes in the plane-wave background and examines their supersymmetry preservation and boundary conditions, extending previous theoretical expectations.

Findings

Oblique D3-branes preserve 4 dynamical and 4 kinematical supersymmetries.

Oblique D5-branes preserve half of both supersymmetries.

Boundary conditions for curved D5- and D7-branes are analyzed.

Abstract

Oblique Dp-branes in the maximally supersymmetric type IIB plane-wave background are constructed in terms of boundary states, as well as from the open string point of view. These Dp-branes, whose existence was anticipated by Hikida and Yamaguchi from general supersymmetry arguments, have an isometry that is a subgroup of the diagonal SO(4) symmetry of the background. The oblique D3-brane is found to preserve four dynamical and four kinematical supersymmetries while the oblique D5-brane preserves one half of both the dynamical and kinematical supersymmetries. We also discuss the open-string boundary conditions for curved D7- and D5-branes, and analyze their supersymmetry.