Tensor and Vector Multiplets in Six-Dimensional Supergravity

TL;DR

This paper develops a comprehensive six-dimensional supergravity theory coupling tensor and vector multiplets, incorporating anomaly cancellation mechanisms and extending previous models to all orders in fermionic fields.

Contribution

It provides the complete coupling of (1,0) supergravity with tensor and vector multiplets, including all fermionic terms and anomaly cancellation via the Green-Schwarz mechanism.

Findings

Constructed the full supergravity-tensor multiplet coupling.

Extended the model to include vector multiplets and anomaly cancellation.

Ensured supersymmetry algebra consistency with anomaly considerations.

Abstract

We construct the complete coupling of $(1,0)$ supergravity in six dimensions to $n$ tensor multiplets, extending previous results to all orders in the fermi fields. We then add couplings to vector multiplets, as dictated by the generalized Green-Schwarz mechanism. The resulting theory embodies factorized gauge and supersymmetry anomalies, to be disposed of by fermion loops, and is determined by corresponding Wess-Zumino consistency conditions, aside from a quartic coupling for the gaugini. The supersymmetry algebra contains a corresponding extension that plays a crucial role for the consistency of the construction. We leave aside gravitational and mixed anomalies, that would only contribute to higher-derivative couplings.