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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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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-0445-7 Version Permalink: http://hdl.handle.net/21.11116/0000-0004-48D1-F
Genre: Journal Article

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1106.2646 (Preprint), 471KB
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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: Published in print
 Pages: 68 pages, harvmac TeX
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1106.2646
DOI: 10.1016/j.nuclphysb.2013.04.022
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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: /journals/resource/954925564667