Towards field theory amplitudes from the cohomology of pure spinor superspace
Towards field theory amplitudes from the cohomology of pure spinor superspace
A simple BRST-closed expression for the color-ordered super-Yang-Mills 5-point amplitude at tree-level is proposed in pure spinor superspace and shown to be BRST-equivalent to the field theory limit of the open superstring 5-pt amplitude. It is manifestly cyclic invariant and each one of its five terms can be associated to the five Feynman diagrams which use only cubic vertices. Its form also suggests an empirical method to find superspace expressions in the cohomology of the pure spinor BRST operator for higher-point amplitudes based on their kinematic pole structure. Using this method, Ansaetze for the 6- and 7-point 10D super-Yang-Mills amplitudes which map to their 14 and 42 color-ordered diagrams are conjectured and their 6- and 7-gluon expansions are explicitly computed.
hep-th
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Mafra, Carlos R.
(2010)
Towards field theory amplitudes from the cohomology of pure spinor superspace.
Journal of High Energy Physics.
(doi:10.1007/JHEP11(2010)096).
Abstract
A simple BRST-closed expression for the color-ordered super-Yang-Mills 5-point amplitude at tree-level is proposed in pure spinor superspace and shown to be BRST-equivalent to the field theory limit of the open superstring 5-pt amplitude. It is manifestly cyclic invariant and each one of its five terms can be associated to the five Feynman diagrams which use only cubic vertices. Its form also suggests an empirical method to find superspace expressions in the cohomology of the pure spinor BRST operator for higher-point amplitudes based on their kinematic pole structure. Using this method, Ansaetze for the 6- and 7-point 10D super-Yang-Mills amplitudes which map to their 14 and 42 color-ordered diagrams are conjectured and their 6- and 7-gluon expansions are explicitly computed.
Text
1007.3639v4
- Accepted Manuscript
More information
e-pub ahead of print date: 22 November 2010
Additional Information:
14 pages, harvmac, v4: trivial edits in the text to comply with JHEP referee
Keywords:
hep-th
Identifiers
Local EPrints ID: 435003
URI: http://eprints.soton.ac.uk/id/eprint/435003
ISSN: 1029-8479
PURE UUID: 29bb8e3c-2825-4805-b36f-15aee7fe312d
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Date deposited: 17 Oct 2019 16:30
Last modified: 17 Mar 2024 03:33
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