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Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string

Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string
Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string
In this paper we derive the tree-level S-matrix of the effective theory of Goldstone bosons known as the non-linear sigma model (NLSM) from string theory. This novel connection relies on a recent realization of tree-level open-superstring S-matrix predictions as a double copy of super-Yang-Mills theory with Z-theory --- the collection of putative scalar effective field theories encoding all the alpha'-dependence of the open superstring. Here we identify the color-ordered amplitudes of the NLSM as the low-energy limit of abelian Z-theory. This realization also provides natural higher-derivative corrections to the NLSM amplitudes arising from higher powers of alpha' in the abelian Z-theory amplitudes, and through double copy also to Born-Infeld and Volkov-Akulov theories. The Kleiss-Kuijf and Bern-Carrasco-Johansson relations obeyed by Z-theory amplitudes thereby apply to all alpha'-corrections of the NLSM. As such we naturally obtain a cubic-graph parameterization for the abelian Z-theory predictions whose kinematic numerators obey the duality between color and kinematics to all orders in alpha'.
hep-th, math-ph, math.MP
Carrasco, John Joseph M.
d479cb36-94ec-48ea-94cc-fcf137594736
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e
Carrasco, John Joseph M.
d479cb36-94ec-48ea-94cc-fcf137594736
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e

Carrasco, John Joseph M., Mafra, Carlos R. and Schlotterer, Oliver (2017) Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string. Journal of High Energy Physics, [093]. (doi:10.1007/JHEP06(2017)093).

Record type: Article

Abstract

In this paper we derive the tree-level S-matrix of the effective theory of Goldstone bosons known as the non-linear sigma model (NLSM) from string theory. This novel connection relies on a recent realization of tree-level open-superstring S-matrix predictions as a double copy of super-Yang-Mills theory with Z-theory --- the collection of putative scalar effective field theories encoding all the alpha'-dependence of the open superstring. Here we identify the color-ordered amplitudes of the NLSM as the low-energy limit of abelian Z-theory. This realization also provides natural higher-derivative corrections to the NLSM amplitudes arising from higher powers of alpha' in the abelian Z-theory amplitudes, and through double copy also to Born-Infeld and Volkov-Akulov theories. The Kleiss-Kuijf and Bern-Carrasco-Johansson relations obeyed by Z-theory amplitudes thereby apply to all alpha'-corrections of the NLSM. As such we naturally obtain a cubic-graph parameterization for the abelian Z-theory predictions whose kinematic numerators obey the duality between color and kinematics to all orders in alpha'.

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JHEP06(2017)093 - Version of Record
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More information

Submitted date: 8 August 2016
Accepted/In Press date: 28 May 2017
e-pub ahead of print date: 19 June 2017
Published date: 19 June 2017
Additional Information: 32 pages
Keywords: hep-th, math-ph, math.MP
Organisations: Mathematical Sciences

Identifiers

Local EPrints ID: 406429
URI: http://eprints.soton.ac.uk/id/eprint/406429
PURE UUID: 931b8ff0-d9cf-4a5e-9a15-73637936d78c
ORCID for Carlos R. Mafra: ORCID iD orcid.org/0000-0001-9842-9654

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Date deposited: 10 Mar 2017 10:47
Last modified: 17 Dec 2019 01:36

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