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  Complete N-Point Superstring Disk Amplitude II. Amplitude and Hypergeometric Function Structure

Mafra, C. R., Schlotterer, O., & Stieberger, S. (2013). Complete N-Point Superstring Disk Amplitude II. Amplitude and Hypergeometric Function Structure. Nuclear Physics B, 873(3), 461-513. doi:10.1016/j.nuclphysb.2013.04.022.

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1106.2646 (Preprint), 471KB
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1106.2646
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File downloaded from arXiv at 2011-06-28 10:29
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 Creators:
Mafra, Carlos R.1, Author           
Schlotterer, Oliver, Author
Stieberger, Stephan, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: Using the pure spinor formalism in part I [1] we compute the complete
tree-level amplitude of N massless open strings and find a striking simple and
compact form in terms of minimal building blocks: the full N-point amplitude is
expressed by a sum over (N-3)! Yang-Mills partial subamplitudes each
multiplying a multiple Gaussian hypergeometric function. While the former
capture the space-time kinematics of the amplitude the latter encode the string
effects. This result disguises a lot of structure linking aspects of gauge
amplitudes as color and kinematics with properties of generalized Euler
integrals. In this part II the structure of the multiple hypergeometric
functions is analyzed in detail: their relations to monodromy equations, their
minimal basis structure, and methods to determine their poles and
transcendentality properties are proposed. Finally, a Groebner basis analysis
provides independent sets of rational functions in the Euler integrals.

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 Dates: 2011-06-142013
 Publication Status: Issued
 Pages: 68 pages, harvmac TeX
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1106.2646
DOI: 10.1016/j.nuclphysb.2013.04.022
 Degree: -

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Title: Nuclear Physics B
Source Genre: Journal
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Publ. Info: Amsterdam : North-Holland
Pages: - Volume / Issue: 873 (3) Sequence Number: - Start / End Page: 461 - 513 Identifier: ISSN: 0550-3213
CoNE: https://pure.mpg.de/cone/journals/resource/954925564667