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Semi-abelian Z-theory: NLSM+Φ 3 from the open string

Semi-abelian Z-theory: NLSM+Φ 3 from the open string
Semi-abelian Z-theory: NLSM+Φ 3 from the open string
We continue our investigation of Z-theory, the second double-copy component of open-string tree-level interactions besides super-Yang-Mills (sYM). We show that the amplitudes of the extended non-linear sigma model (NLSM) recently considered by Cachazo, Cha, and Mizera are reproduced by the leading α ′-order of Z-theory amplitudes in the semi-abelian case. The extension refers to a coupling of NLSM pions to bi-adjoint scalars, and the semi-abelian case involves to a partial symmetrization over one of the color orderings that characterize the Z-theory amplitudes. Alternatively, the partial symmetrization corresponds to a mixed interaction among abelian and non-abelian states in the underlying open-superstring amplitude. We simplify these permutation sums via monodromy relations which greatly increase the efficiency in extracting the α ′-expansion of these amplitudes. Their α ′-corrections encode higher-derivative interactions between NLSM pions and bi-colored scalars all of which obey the duality between color and kinematics. Through double-copy, these results can be used to generate the predictions of supersymmetric Dirac-Born-Infeld-Volkov-Akulov theory coupled with sYM as well as a complete tower of higher-order α ′-corrections.
1029-8479
Carrasco, John Joseph M.
d479cb36-94ec-48ea-94cc-fcf137594736
Mafra, Carlos
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e
Carrasco, John Joseph M.
d479cb36-94ec-48ea-94cc-fcf137594736
Mafra, Carlos
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e

Carrasco, John Joseph M., Mafra, Carlos and Schlotterer, Oliver (2017) Semi-abelian Z-theory: NLSM+Φ 3 from the open string. The Journal of High Energy Physics, 2017. (doi:10.1007/JHEP08(2017)135).

Record type: Article

Abstract

We continue our investigation of Z-theory, the second double-copy component of open-string tree-level interactions besides super-Yang-Mills (sYM). We show that the amplitudes of the extended non-linear sigma model (NLSM) recently considered by Cachazo, Cha, and Mizera are reproduced by the leading α ′-order of Z-theory amplitudes in the semi-abelian case. The extension refers to a coupling of NLSM pions to bi-adjoint scalars, and the semi-abelian case involves to a partial symmetrization over one of the color orderings that characterize the Z-theory amplitudes. Alternatively, the partial symmetrization corresponds to a mixed interaction among abelian and non-abelian states in the underlying open-superstring amplitude. We simplify these permutation sums via monodromy relations which greatly increase the efficiency in extracting the α ′-expansion of these amplitudes. Their α ′-corrections encode higher-derivative interactions between NLSM pions and bi-colored scalars all of which obey the duality between color and kinematics. Through double-copy, these results can be used to generate the predictions of supersymmetric Dirac-Born-Infeld-Volkov-Akulov theory coupled with sYM as well as a complete tower of higher-order α ′-corrections.

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Accepted/In Press date: 14 August 2017
e-pub ahead of print date: 29 August 2017
Published date: 2017

Identifiers

Local EPrints ID: 432699
URI: https://eprints.soton.ac.uk/id/eprint/432699
ISSN: 1029-8479
PURE UUID: 084e160a-35b2-48a0-bbdf-7046f2740996
ORCID for Carlos Mafra: ORCID iD orcid.org/0000-0001-9842-9654

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Date deposited: 24 Jul 2019 16:30
Last modified: 25 Jul 2019 00:31

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Author: John Joseph M. Carrasco
Author: Carlos Mafra ORCID iD
Author: Oliver Schlotterer

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