String interactions in gravitational wave backgrounds

Abstract

The non-compact CFT of a class of NS-supported pp-wave backgrounds is solved exactly. The associated tree-level covariant string scattering amplitudes are calculated. The S-matrix elements are well-defined, dual but not analytic as a function of $p^{+}$. They have poles corresponding to physical intermediate states with $p^{+}\ne 0$ and logarithmic branch cuts due to on-shell exchange of spectral-flow images of $p^{+}=0$ states. When $\mu \to 0$ a smooth flat space limit is obtained. The $\mu \to \infty$ limit, unlike the case of RR-supported pp-waves, gives again a flat space theory.

99 pages, LateX (v2) The discussion of the flat space limit has been changed (v3) Final version that appeared in Nucl. Phys B

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• D-branes and BCFT in Hpp-wave backgrounds
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• Closed Strings in Misner Space: Stringy Fuzziness with a Twist
• Large-N limits of 2d CFTs, Quivers and AdS_3 duals
• Winding String Condensation and Noncommutative Deformation of Spacelike Singularity
• Light-Cone String Field Theory in a Plane Wave Background
• String amplitudes in the Hpp-wave limit of AdS3xS3
• Noncommutative Field Theory on Homogeneous Gravitational Waves
• Stringy profiles of gauge field tadpoles near orbifold singularities: I. heterotic string calculations
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• Three- and Four-point correlators of excited bosonic twist fields
• Probing Universality in the Gravity Duals of N=1 SYM by gamma-deformations
• A common limit of super Liouville theory and minimal models
• The abelian cosets of the Heisenberg group
• Decay widths of three-impurity states in the BMN correspondence
• The limit of N=(2,2) superconformal minimal models
• On Singleton Composites in Non-compact WZW Models
• The diagonal cosets of the Heisenberg group
• On conformal field theories based on Takiff superalgebras
• Canonical quantization of a string describing $N$ branes at angles
• Isometric Embeddings and Noncommutative Branes in Homogeneous Gravitational Waves
• Limit theories and continuous orbifolds
• Boundary states in the Nappi-Witten model
• Brane Solutions with/without Rotation in PP-wave Spacetime
• Representations of the Nappi--Witten vertex operator algebra
• Strings on Plane Waves and AdS x S
• Towards a fully stringy computation of Yukawa couplings on non factorized tori and non abelian twist correlators (I): the classical solution and action
• The exact description of NS5-branes in the Penrose limit
• Asymmetric Galilean conformal algebras
• Gravitational waves from WZW models
• Interactions for Winding Strings in Misner Space
• On the breakdown of the perturbative interaction picture in Big Crunch/Big Bang or the true reason why perturbative string amplitudes on temporal orbifolds diverge
• Non-relativistic quantum strings from gauged WZW models
• String Theory in the Penrose Limit of AdS_2 x S^2
• Inner brane: A D3-brane in the Nappi-Witten model from an inner group automorphism
• Plane waves from double extended spacetimes
• The Classical Solution for the Bosonic String in the Presence of Three D-branes Rotated by Arbitrary SO(4) Elements
• Extension of vertex operator algebra $V_{{\hat{H}}_4}(\ell ,0)$
• Strings and branes in plane waves
• Open strings in Lie groups and associative products
• Representations of affine Nappi-Witten algebras
• The symmetric branes of the H4 WZW model