Disk Scattering of Open and Closed Strings (I)

Abstract

At the tree level, the scattering processes involving open and closed strings are described by a disk world-sheet with vertex operator insertions at the boundary and in the bulk. Such amplitudes can be decomposed as certain linear combinations of pure open string amplitudes. While previous relations have been established on the double cover (complex sphere) in this letter we derive them on the disk (upper complex half plane) allowing for different momenta of the left- and right-movers of the closed string. Formally, the computation of disk amplitudes involving both open and closed strings is reduced to considering the monodromies on the underlying string world-sheet.

18 pages, 3 figures, harvmac

References in corpus (6)

• New Relations for Gauge-Theory Amplitudes
• Minimal Basis for Gauge Theory Amplitudes
• Multi-Gluon Scattering in Open Superstring Theory
• Subleading Terms in the Collinear Limit of Yang-Mills Amplitudes
• Graviton as a Pair of Collinear Gauge Bosons
• Graviton Amplitudes from Collinear Limits of Gauge Amplitudes

Cited by in corpus (23)

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• New Relations for Einstein-Yang-Mills Amplitudes
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• Amplitude relations in heterotic string theory and Einstein-Yang-Mills
• Tree-level amplitudes from the pure spinor superstring
• Duality constraints on effective actions
• Relations for Einstein-Yang-Mills amplitudes from the CHY representation
• Subleading Terms in the Collinear Limit of Yang-Mills Amplitudes
• Collinear limits beyond the leading order from the scattering equations
• Extracting Bigravity from String Theory
• Direct Evaluation of $n$-point single-trace MHV amplitudes in 4d Einstein-Yang-Mills theory using the CHY Formalism
• A double copy from twisted (co)homology at genus one
• Lorentzian contours for tree-level string amplitudes
• Spontaneously Broken Yang-Mills-Einstein Supergravities as Double Copies
• Four-Gauge-Particle Scattering Amplitudes and Polyakov String Path Integral in the proper-time gauge
• Plahte Diagrams for String Scattering Amplitudes
• Einstein Yang-Mills Amplitudes from Intersections of Twisted Forms
• Form factors from string amplitudes
• Black hole microstates from branes at angle
• Scattering of the Kalb-Ramond State from a Dynamical D$p$-brane with Background Fields
• Open & Closed vs. Pure Open String One-Loop Amplitudes