4d N=1 from 6d N=(1,0) on a torus with fluxes

TL;DR

This paper explores how compactifying 6d N=(1,0) theories on a torus with fluxes yields 4d N=1 supersymmetric models, often as toric quiver gauge theories, and compares their anomalies.

Contribution

It demonstrates that many flux choices produce toric quiver gauge theories and provides anomaly comparisons between 6d origins and 4d models, including predictions for M5-branes.

Findings

Many flux choices lead to toric quiver gauge theories.

Anomaly matching between 6d and 4d theories is established.

Predictions for anomalies in M5-brane compactifications.

Abstract

Compactifying N=(1,0) theories on a torus, with additional fluxes for global symmetries, we obtain N=1 supersymmetric theories in four dimensions. It is shown that for many choices of flux these models are toric quiver gauge theories with singlet fields. In particular we compare the anomalies deduced from the description of the six-dimensional theory and the anomalies of the quiver gauge theories. We also give predictions for anomalies of four-dimensional theories corresponding to general compactifications of M5-branes probing C_2/Z_k singularities.