Complete N-point superstring disk amplitude I. Pure spinor computation

By Carlos R. Mafra, O. Schlotterer, S. Stieberger. 2011

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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 Mafra et al. (2011) [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 Mafra et al. (2011) [2], arXiv:1106.2646 [hep-th]. © 2013 Elsevier B.V. All rights reserved.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/5ad7bafecf44b04bbf2789fcfb9de2ee57cdffb1

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Citations in the corpus

Complete N-Point Superstring Disk Amplitude II. Amplitude and Hypergeometric Function Structure (2011, methodology): “Concluding remarks In the first part of this work [1] we derived a strikingly short and compact expression for the N–point superstring amplitude involving any external massless open string state from the SYM vector multiplet.”
Polylogarithms, multiple zeta values and superstring amplitudes (2013, methodology): “The entire polarization dependence of open superstring tree amplitudes was shown in [6, 7] to reside in tree amplitudes of the underlying Yang-Mills (YM) field theory, which emerges in the point-particle limit α → 0.”
Infinite tension limit of the pure spinor superstring (2013, methodology): “2 An efficient recursive method for computing these d=10 massless amplitudes uses the pure spinor BRST cohomology techniques developed by Mafra and collaborators in [1].”
Unifying relations for scattering amplitudes (2017, background): “Based on earlier results in [11, 12], the open superstring amplitudes can be recast as a KLT product of amplitudes in Z-theory and YM theory [13], Aopen = AZ ⊗ AYM , (44) where ⊗ denotes the field theory KLT product.”
Closed string amplitudes as single-valued open string amplitudes (2014, background): “2) can be given by the matrix expression A = FA [19,20].”
Motivic multiple zeta values and superstring amplitudes (2012, methodology): “At string tree–level the complete open string N–point superstring amplitude has been computed in [22,23].”