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Journal Article

Complete N-Point Superstring Disk Amplitude I. Pure Spinor Computation


Mafra,  Carlos R.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Mafra, C. R., Schlotterer, O., & Stieberger, S. (2013). Complete N-Point Superstring Disk Amplitude I. Pure Spinor Computation. Nuclear Physics B, 873(3), 419-460. doi:10.1016/j.nuclphysb.2013.04.023.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0012-0442-D
In this paper the pure spinor formalism is used to obtain a compact
expression for the superstring N-point disk amplitude. The color ordered string
amplitude is given by a sum over (N-3)! super Yang-Mills subamplitudes
multiplied by multiple Gaussian hypergeometric functions. In order to obtain
this result, the cohomology structure of the pure spinor superspace is
exploited to generalize the Berends-Giele method of computing super Yang-Mills
amplitudes. The method was briefly presented in [1], and this paper elaborates
on the details and contains higher-rank examples of building blocks and
associated cohomology objects. But the main achievement of this work is to
identify these field-theory structures in the pure spinor computation of the
superstring amplitude. In particular, the associated set of basis worldsheet
integrals is constructively obtained here and thoroughly investigated together
with the structure and properties of the amplitude in [2].