TY - JOUR
T1 - Semi-abelian Z-theory
T2 - NLSM+ϕ 3 from the open string
AU - Carrasco, John Joseph
AU - Mafra, Carlos R.
AU - Schlotterer, Oliver
N1 - Funding Information:
Open Access, ©c The Authors. Article funded by SCOAP3.
Funding Information:
We are grateful to Nima Arkani-Hamed, Paolo Di Vecchia, Song He, Renata Kallosh and Radu Roiban for a combination of related collaboration and inspiring discussions, and to Freddy Cachazo, Sebastian Mizera and Guojun Zhang for encouragement and taking the time to offer helpful comments on an earlier draft. We would like to thank IPhT at CEA-Saclay for hospitality during the initial stages of this project. OS is grateful to the University of Southampton for kind hospitality during finalization of this work. JJMC is supported by the European Research Council under ERC-STG-639729, preQFT: Strategic Predictions for Quantum Field Theories. CRM is supported by a University Research Fellowship from the Royal Society.
PY - 2017/8/1
Y1 - 2017/8/1
N2 - 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.
AB - 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.
KW - Effective Field Theories
KW - Field Theories in Higher Dimensions
KW - Superstrings and Heterotic Strings
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U2 - 10.1007/JHEP08(2017)135
DO - 10.1007/JHEP08(2017)135
M3 - Article
AN - SCOPUS:85028649051
VL - 2017
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 8
M1 - 135
ER -