All Couplings of Minimal Six-dimensional Supergravity

TL;DR

This paper provides a comprehensive description of coupling six-dimensional (1,0) supergravity with matter multiplets, analyzing anomaly cancellation, and applying the Pasti-Sorokin-Tonin method to this complex theoretical framework.

Contribution

It extends previous work by including hypermultiplets and abelian vectors, detailing their effects on anomalies and couplings in six-dimensional supergravity.

Findings

Complete coupling of supergravity to matter multiplets described.

Additional terms in supersymmetry anomaly due to hypermultiplets.

Application of Pasti-Sorokin-Tonin prescription to the model.

Abstract

We describe the complete coupling of $(1,0)$ six-dimensional supergravity to tensor, vector and hypermultiplets. The generalized Green-Schwarz mechanism implies that the resulting theory embodies factorized gauge and supersymmetry anomalies, to be disposed of by fermion loops. Consequently, the low-energy theory is determined by the Wess-Zumino consistency conditions, rather than by the requirement of supersymmetry. As already shown for the case without hypermultiplets, this procedure does not fix a quartic coupling for the gauginos. With respect to these previous results, the inclusion of charged hypermultiplets gives additional terms in the supersymmetry anomaly. We also consider the case in which abelian vectors are present. As in the absence of hypermultiplets, abelian vectors allow additional couplings. Finally, we apply the Pasti-Sorokin-Tonin prescription to this model.