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Sep 27 – 30, 2016
DESY Hamburg
Europe/Berlin timezone

Z-theory — non-linear sigma model amplitudes and more from open strings

Sep 29, 2016, 2:30 PM
Seminar room 1 (DESY Hamburg)

Seminar room 1

DESY Hamburg

Notkestrasse 85, 22607 Hamburg
String & Mathematical Physics Parallel Session: Strings & Mathematical Physics


Dr Oliver Schlotterer (AEI Potsdam)


In this talk 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'.

Primary author

Dr Oliver Schlotterer (AEI Potsdam)


Dr Carlos Mafra (University of Southampton) Dr John-Joseph Carrasco (CEA Saclay)

Presentation materials