Finiteness and Unitarity of Lorentz-Covariant Green-Schwarz Superstring Amplitudes

Abstract

In two recent papers, a new method was developed for calculating ten-dimensional superstring amplitudes with an arbitrary number of loops and external massless particles, and for expressing them in manifestly Lorentz-invariant form. By explicitly checking for divergences when the Riemann surface degenerates, these amplitudes are proven to be finite. By choosing light-cone moduli for the surface and comparing with the light-cone Green-Schwarz formalism, these amplitudes are proven to be unitary.

16 pages plain Tex; a revision is made to the second paragraph and footnote on page 3

References in corpus (3)

• The Heterotic Green-Schwarz Superstring on an N=(2,0) Super-Worldsheet
• Calculation of Green-Schwarz Superstring Amplitudes Using the N=2 Twistor-String Formalism
• Lorentz-Covariant Green-Schwarz Superstring Amplitudes

Cited by in corpus (22)

• N=4 Topological Strings
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• Covariant Quantization of the Green-Schwarz Superstring in a Calabi-Yau Background
• More comments on superstring interactions in the pp-wave background
• Multi-loop amplitudes in maximally supersymmetric pure spinor field theory
• The Box Graph In Superstring Theory
• The Ten-Dimensional Green-Schwarz Superstring is a Twisted Neveu-Schwarz-Ramond String
• N=2 Superconformal Description of Superstring in Ramond-Ramond Plane Wave Backgrounds
• Higher-loop amplitudes in the non-minimal pure spinor formalism
• Microscopic unitary description of tidal excitations in high-energy string-brane collisions
• One-Loop N-Point Superstring Amplitudes with Manifest d=4 Supersymmetry
• The calculation of Feynman diagrams in the superstring perturbation theory
• Kappa-Symmetry and Bogomol'ny Bound
• Unimodular transformations of the supermanifolds and the calculation of the multi-loop amplitudes in the superstring theory
• Divergences in the Moduli Space Integral and Accumulating Handles in the Infinite-Genus Limit
• Picture-Changing operators and Space-Time supersymmetry
• String Theory, Unification and Quantum Gravity
• A note on the uniqueness of the Neumann matrices in the plane-wave background
• String theory in twistor space and minimal tension holography
• The Bosonic String Measure at Two and Three Loops and Symplectic Transformations of the Volume Form
• Aspects of Supersymmetric Gauge Theory and String Theory
• Effectively Closed Infinite-Genus Surfaces and the String Coupling