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

John Joseph Carrasco, Carlos R. Mafra*, Oliver Schlotterer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

34 Scopus citations

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.

Original languageEnglish (US)
Article number135
JournalJournal of High Energy Physics
Volume2017
Issue number8
DOIs
StatePublished - Aug 1 2017

Keywords

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

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Fingerprint Dive into the research topics of 'Semi-abelian Z-theory: NLSM+ϕ <sup>3</sup> from the open string'. Together they form a unique fingerprint.

Cite this