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- Title
Semi-abelian Z-theory: NLSM+ ϕ from the open string.
- Authors
Carrasco, John; Mafra, Carlos; Schlotterer, Oliver
- Abstract
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 α -order of Z-theory amplitudes in the semi-abelian case. The extension refers to a coupling of NLSM pions to bi-adjoint scalars, and the semi-abelian case involves 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 α -expansion of these amplitudes. Their α -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 α -corrections.
- Subjects
ABELIAN semigroups; UNIFIED field theories; NON-linear sigma model (Statistical physics); YANG-Mills theory; KINEMATICS; DIRAC function
- Publication
Journal of High Energy Physics, 2017, Vol 2017, Issue 8, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP08(2017)135