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Journal Articles Journal of High Energy Physics Year : 2017

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


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.
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Dates and versions

cea-01426648 , version 1 (04-01-2017)
cea-01426648 , version 2 (06-12-2022)




John Joseph M. Carrasco, Carlos R. Mafra, Oliver Schlotterer. Semi-abelian Z-theory: NLSM+$\phi^3$ from the open string. Journal of High Energy Physics, 2017, 2017, pp.135. ⟨10.1007/JHEP08(2017)135⟩. ⟨cea-01426648v2⟩
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