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  Towards one-loop SYM amplitudes from the pure spinor BRST cohomology

Mafra, C. R., & Schlotterer, O. (2015). Towards one-loop SYM amplitudes from the pure spinor BRST cohomology. Fortschritte der Physik, 63(2), 105-131. doi:10.1002/prop.201400076.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-2799-A Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-C506-A
Genre: Journal Article

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 Creators:
Mafra, Carlos R.1, Author              
Schlotterer, Oliver2, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              
2Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: In this paper, we outline a method to compute supersymmetric one-loop integrands in ten-dimensional SYM theory. It relies on the constructive interplay between their cubic-graph organization and BRST invariance of the underlying pure spinor superstring description. The five- and six-point amplitudes are presented in a manifestly local form where the kinematic dependence is furnished by BRST-covariant expressions in pure spinor superspace. At five points, the local kinematic numerators are shown to satisfy the BCJ duality between color and kinematics leading to supergravity amplitudes as a byproduct. At six points, the sources of the hexagon anomaly are identified in superspace as systematic obstructions to BRST invariance. Our results are expected to reproduce any integrated SYM amplitude in dimensions $D< 8$.

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 Dates: 2014-10-022015
 Publication Status: Published in print
 Pages: 47 pages, harvmac tex
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1410.0668
DOI: 10.1002/prop.201400076
 Degree: -

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Title: Fortschritte der Physik
Source Genre: Journal
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Publ. Info: Berlin : Wiley-VCH Verlag
Pages: - Volume / Issue: 63 (2) Sequence Number: - Start / End Page: 105 - 131 Identifier: ISSN: 0015-8208
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/954925400540_1