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

  • John Joseph M. Carrasco
  • Carlos R. MafraEmail author
  • Oliver Schlotterer
Open Access
Regular Article - Theoretical Physics


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.


Effective Field Theories Field Theories in Higher Dimensions Superstrings and Heterotic Strings 


Open Access

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Copyright information

© The Author(s) 2017

Authors and Affiliations

  • John Joseph M. Carrasco
    • 1
  • Carlos R. Mafra
    • 2
    Email author
  • Oliver Schlotterer
    • 3
  1. 1.Institut de Physique Théorique, CEA-SaclayGif-sur-Yvette cedexFrance
  2. 2.STAG Research Centre and Mathematical SciencesUniversity of SouthamptonSouthamptonU.K.
  3. 3.Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-InstitutPotsdamGermany

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