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Multiparticle SYM equations of motion and pure spinor BRST blocks

Multiparticle SYM equations of motion and pure spinor BRST blocks
Multiparticle SYM equations of motion and pure spinor BRST blocks
In this paper a multiparticle generalization of linearized ten-dimensional super Yang--Mills superfields is proposed. Their equations of motions are shown to take the same form as in the single-particle case, supplemented by contact terms. A recursive construction of these superfields is inspired by the iterated OPEs among massless vertex operators in the pure spinor formalism. An enlarged set of BRST-covariant pure spinor blocks is then defined in a streamlined fashion and combined to multiparticle vertex operators. The latter can be used to universally describe tree-level subdiagrams in the perturbative open and closed superstring, regardless of the loop order. The inherent symmetries of the multiparticle superfields are reproduced by structure constants of the gauge group, hinting a natural appearance of the BCJ-duality between color and kinematics in the fundamentals of super Yang--Mills theory. We present one-loop applications where known scalar cohomology objects are systematically recomputed and a novel vector cohomology particularly relevant to the closed string is constructed for arbitrary multiplicity.
hep-th
1029-8479
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e

Mafra, Carlos R. and Schlotterer, Oliver (2014) Multiparticle SYM equations of motion and pure spinor BRST blocks. Journal of High Energy Physics, (153). (doi:10.1007/JHEP07(2014)153).

Record type: Article

Abstract

In this paper a multiparticle generalization of linearized ten-dimensional super Yang--Mills superfields is proposed. Their equations of motions are shown to take the same form as in the single-particle case, supplemented by contact terms. A recursive construction of these superfields is inspired by the iterated OPEs among massless vertex operators in the pure spinor formalism. An enlarged set of BRST-covariant pure spinor blocks is then defined in a streamlined fashion and combined to multiparticle vertex operators. The latter can be used to universally describe tree-level subdiagrams in the perturbative open and closed superstring, regardless of the loop order. The inherent symmetries of the multiparticle superfields are reproduced by structure constants of the gauge group, hinting a natural appearance of the BCJ-duality between color and kinematics in the fundamentals of super Yang--Mills theory. We present one-loop applications where known scalar cohomology objects are systematically recomputed and a novel vector cohomology particularly relevant to the closed string is constructed for arbitrary multiplicity.

Text
1404.4986v2 - Accepted Manuscript
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More information

Published date: 30 July 2014
Additional Information: 44 pp, 10 figures, harvmac, v2: published version
Keywords: hep-th

Identifiers

Local EPrints ID: 435001
URI: http://eprints.soton.ac.uk/id/eprint/435001
ISSN: 1029-8479
PURE UUID: edb1bd7f-7024-4d2a-b9a0-094f8789ec4f
ORCID for Carlos R. Mafra: ORCID iD orcid.org/0000-0001-9842-9654

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Date deposited: 17 Oct 2019 16:30
Last modified: 17 Mar 2024 03:33

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Contributors

Author: Carlos R. Mafra ORCID iD
Author: Oliver Schlotterer

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