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

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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https://hal-cea.archives-ouvertes.fr/cea-01426644
Contributor : John Joseph Carrasco <>
Submitted on : Wednesday, January 4, 2017 - 5:26:33 PM
Last modification on : Friday, August 9, 2019 - 4:26:05 PM
Long-term archiving on: Wednesday, April 5, 2017 - 2:59:02 PM

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  • HAL Id : cea-01426644, version 1
  • ARXIV : 1608.02569

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John Joseph M. Carrasco, Carlos R. Mafra, Oliver Schlotterer. Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string. 2017. ⟨cea-01426644⟩

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