Abelian Z-theory: NLSM amplitudes and alpha-corrections from the open stringReport as inadecuate

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1 IPHT - Institut de Physique Théorique - UMR CNRS 3681 2 Institute for Advanced Study Princeton 3 University of Southampton Southampton 4 MPI für Gravitationsphysik Albert-Einstein-Institut

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-.

Author: John Joseph M. Carrasco - Carlos R. Mafra - Oliver Schlotterer -

Source: https://hal.archives-ouvertes.fr/


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