4d $$\mathcal{N}=1$$ from 6d (1, 0)

Journal of High Energy Physics, Apr 2017

We study the geometry of 4d $$\mathcal{N}=1$$ SCFT’s arising from compactification of 6d (1, 0) SCFT’s on a Riemann surface. We show that the conformal manifold of the resulting theory is characterized, in addition to moduli of complex structure of the Riemann surface, by the choice of a connection for a vector bundle on the surface arising from flavor symmetries in 6d. We exemplify this by considering the case of 4d $$\mathcal{N}=1$$ SCFT’s arising from M5 branes probing ℤ k singularity compactified on a Riemann surface. In particular, we study in detail the four dimensional theories arising in the case of two M5 branes on ℤ 2 singularity. We compute the conformal anomalies and indices of such theories in 4d and find that they are consistent with expectations based on anomaly and the moduli structure derived from the 6 dimensional perspective.

This is a preview of a remote PDF: https://link.springer.com/content/pdf/10.1007%2FJHEP04%282017%29064.pdf

Shlomo S. Razamat, Cumrun Vafa, Gabi Zafrir. 4d $$\mathcal{N}=1$$ from 6d (1, 0), Journal of High Energy Physics, 2017, 64, DOI: 10.1007/JHEP04(2017)064