Higher Point Spin Field Correlators in D=4 Superstring Theory

Abstract

Calculational tools are provided allowing to determine general tree-level scattering amplitudes for processes involving bosons and fermions in heterotic and superstring theories in four space-time dimensions. We compute higher-point superstring correlators involving massless four-dimensional fermionic and spin fields. In D=4 these correlators boil down to a product of two pure spin field correlators of left- and right-handed spin fields. This observation greatly simplifies the computation of such correlators. The latter are basic ingredients to compute multi-fermion superstring amplitudes in D=4. Their underlying fermionic structure and the fermionic couplings in the effective action are determined by these correlators.

61 pages, LaTeX; v2: enlarged introduction; final version to appear in NP B; v3: little typos removed

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• The LHC String Hunter's Companion
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• Six Gluon Open Superstring Disk Amplitude, Multiple Hypergeometric Series and Euler-Zagier Sums
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• The LHC String Hunter's Companion (II): Five-Particle Amplitudes and Universal Properties
• Higher Spin Scattering in Superstring Theory
• Open strings in the system D5/D9
• On RR couplings on D-branes at order $O({\alpha }^{\prime 2})$
• Higher Loop Spin Field Correlators in Various Dimensions
• Massive Supermultiplets in Four-Dimensional Superstring Theory
• A Gluing Operator for the Ambitwistor String
• Sphere-level Ramond-Ramond couplings in Ramond-Neveu-Schwarz formalism
• Higher Loop Spin Field Correlators in D=4 Superstring Theory
• Tree-level S-matrix elements from S-duality
• Fermionic one-loop amplitudes of the RNS superstring
• BCFW construction of the Veneziano Amplitude
• $\Omega$ versus Graviphoton