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

Shlomo S. Razamat, Cumrun Vafa, Gabi Zafrir
2017 Journal of High Energy Physics  
We study the geometry of 4d 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 N = 1 SCFT's arising from M5 branes probing Z k singularity compactified on a Riemann
more » ... d 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.
doi:10.1007/jhep04(2017)064 fatcat:zkt66awzjfhybbb2x6uknc4any