Penrose limits and Green-Schwarz strings

Abstract

We discuss the Green-Schwarz action for type IIB strings in general plane-wave backgrounds obtained as Penrose limits from any IIB supergravity solutions with vanishing background fermions. Using the normal-coordinate expansion in superspace, we prove that the light-cone action is necessarily quadratic in the fermionic coordinates. This proof is valid for more general pp-wave backgrounds under certain conditions. We also write down the complete quadratic action for general bosonic on-shell backgrounds in a form in which its geometrical meaning is manifest both in the Einstein and string frames. When the dilaton and 1-form field strength are vanishing, and the other field strengths are constant, our string-frame action reduces, up to conventions, to the one which has been written down using the supercovariant derivative.

18 pages, latex, no figures; (v2) relation to ref.14 clarified; (v3) typos corrected, minor changes

References in corpus (6)

• The Minimal Moose for a Little Higgs
• Supergravity pp-wave solutions with 28 and 24 supercharges
• Superstrings on PP-Wave Backgrounds and Symmetric Orbifolds
• N=2 Superconformal Description of Superstring in Ramond-Ramond Plane Wave Backgrounds
• Penrose Limit and String Theories on Various Brane Backgrounds
• Penrose Limits of RG Fixed Points and PP-Waves with Background Fluxes

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• One loop scattering on D-branes
• $\beta$-deformation for matrix model of M-theory
• Closed strings in Ramond-Ramond backgrounds
• Quantum fluctuations of rotating strings in AdS_5 x S^5
• Fast spinning strings on $\eta$ deformed $Ad{S}_5\times S^5$
• String Theory on Dp-plane waves
• Type IIA Supergravity Excitations in Plane-Wave Background
• On pp wave limit for $\eta$ deformed superstrings
• Geometric counter-vertex for open string scattering on D-branes
• A Penrose limit for type IIB $Ad{S}_6$ solutions
• Vertex operator formulation of scattering around black hole
• Holography with Ramond-Ramond fluxes
• Penrose Limit and Enhancon Geometry
• On the polarization of closed strings by Ramond-Ramond fluxes