# 4d $$\mathcal{N}=1$$ from 6d $$\mathcal{N}=\left(1,0\right)$$ on a torus with fluxes

Journal of High Energy Physics, Jun 2017

Compactifying $$\mathcal{N}=\left(1,0\right)$$ theories on a torus, with additional fluxes for global symmetries, we obtain $$\mathcal{N}=1$$ 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 $${\mathrm{\mathbb{C}}}^2/{\mathrm{\mathbb{Z}}}_k$$ singularities.

This is a preview of a remote PDF: https://link.springer.com/content/pdf/10.1007%2FJHEP06%282017%29022.pdf

Ibrahima Bah, Amihay Hanany, Kazunobu Maruyoshi, Shlomo S. Razamat, Yuji Tachikawa, Gabi Zafrir. 4d $$\mathcal{N}=1$$ from 6d $$\mathcal{N}=\left(1,0\right)$$ on a torus with fluxes, Journal of High Energy Physics, 2017, 1-35, DOI: 10.1007/JHEP06(2017)022