Towards one-loop SYM amplitudes from the pure spinor BRST cohomology
Towards one-loop SYM amplitudes from the pure spinor BRST cohomology
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 $D<8$.
hep-th
105-131
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e
February 2015
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e
Mafra, Carlos R. and Schlotterer, Oliver
(2015)
Towards one-loop SYM amplitudes from the pure spinor BRST cohomology.
Fortschritte der Physik, 63 (2), .
(doi:10.1002/prop.201400076).
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 $D<8$.
Text
1410.0668v2
- Accepted Manuscript
More information
Accepted/In Press date: 22 October 2014
e-pub ahead of print date: 27 January 2015
Published date: February 2015
Additional Information:
47 pages, harvmac tex, v2: typos corrected and minor fixes, final version to appear in Fortschritte der Physik
Keywords:
hep-th
Identifiers
Local EPrints ID: 434939
URI: http://eprints.soton.ac.uk/id/eprint/434939
ISSN: 0015-8208
PURE UUID: c4d5d4cd-037e-4190-a589-4386a1a0b6f6
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Date deposited: 16 Oct 2019 16:30
Last modified: 17 Mar 2024 03:33
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Author:
Oliver Schlotterer
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