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Journal Article

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


Mafra,  Carlos R.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;


Schlotterer,  Oliver
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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Carrasco, J. J. M., Mafra, C. R., & Schlotterer, O. (2017). Semi-abelian Z-theory: NLSM+phi^3 from the open string. Journal of high energy physics: JHEP, 2017(08): 135. doi:10.1007/JHEP08(2017)135.

Cite as: http://hdl.handle.net/11858/00-001M-0000-002C-59AF-6
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 alpha'-order of Z-theory amplitudes in the semi-abelian limit. The extension refers to a coupling of NLSM pions to bi-adjoint scalars, and the semi-abelian limit refers 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 alpha'-expansion of these amplitudes. Their alpha'-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 alpha'-corrections.