Linearly-realised Worldsheet Supersymmetry in pp-wave Background

Abstract

We study the linearly-realised worldsheet supersymmetries in the ``massive'' type II light-cone actions for pp-wave backgrounds. The pp-waves have have 16+N_sup Killing spinors, comprising 16 ``standard'' Killing spinors that occur in any wave background, plus N_sup ``supernumerary'' Killing spinors (0\le N_sup \le 16) that occur only for special backgrounds. We show that only the supernumerary Killing spinors give rise to linearly-realised worldsheet supersymmetries after light-cone gauge fixing, while the 16 standard Killing spinors describe only non-linearly realised inhomogeneous symmetries. We also study the type II actions in the physical gauge, and we show that although in this case the actions are not free, there are now linearly-realised supersymmetries coming both from the standard and the supernumerary Killing spinors. In the physical gauge, there are no mass terms for any worldsheet degrees of freedom, so the masses appearing in the light-cone gauge may be viewed as gauge artefacts. We obtain type IIA and IIB supergravity solutions describing solitonic strings in pp-wave backgrounds, and show how these are related to the physical-gauge fundamental string actions. We study the supersymmetries of these solutions, and find examples with various numbers of Killing spinors, including total numbers that are odd.

Latex, 35 pages

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Cited by in corpus (26)

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• A Soluble String Theory of Hadrons
• Strings in plane wave backgrounds
• On the Singularity Structure and Stability of Plane Waves
• Exactly Solvable Model of Superstring in Plane-wave Background with Linear Null Dilaton
• Marginal deformation of N=4 SYM and Penrose limits with continuum spectrum
• String Theory on Parallelizable PP-Waves
• String theory and the Classical Stability of Plane Waves
• Intersecting branes in pp-wave spacetime
• D-Branes at angle in pp-wave Background
• An example of localized D-branes solution on PP-wave backgrounds
• D-branes in PP-wave light cone string field theory
• Integrable supersymmetric deformations of $\mathrm{Ad}{\mathrm{S}}_3\times {\mathrm{S}}^3\times {\mathrm{T}}^4$
• 3D N=2 massive super Yang-Mills and membranes/D2-branes in a curved background
• Large N limit of SYM theories with 16 supercharges from superstrings on Dp-brane backgrounds
• Remarks on type IIB pp waves with Ramond-Ramond fluxes and massive two dimensional nonlinear sigma models
• Type IIA Supergravity Excitations in Plane-Wave Background
• Stringy effect of the holographic correspondence for Dp-brane backgrounds
• More D-branes in plane wave spacetime
• A Penrose limit for type IIB $Ad{S}_6$ solutions
• Penrose Limit and Enhancon Geometry
• Rotating particles in AdS: Holography at weak gauge coupling and without conformal symmetry
• Plane Waves and Vacuum Interpolation