Abstract
We study a class of four-dimensional N=1 superconformal field theories obtained from the six-dimensional (1,0) theory, on M5-branes on C^2/Z_k orbifold singularity, compactified on a Riemann surface. This produces various quiver gauge theories whose matter contents are chiral. We classify the building blocks associated to pairs-of-pants, and study the gauging of them as the gluing of punctures. The Riemann surface picture makes the duality invariance of the resulting quiver theories manifest: the theories associated to the same Riemann surface flow to the same nontrivial infrared fixed point. We explicitly check this from the 't Hooft anomalies of the global symmetries and central charges.
Highlights
Theory [15,16,17,18,19], compactified on a Riemann surface
We study a class of four-dimensional N = 1 superconformal field theories obtained from the six-dimensional (1, 0) theory, on M5-branes on C2/Zk orbifold singularity, compactified on a Riemann surface
The four-dimensional quiver gauge theories obtained by the compactification are roughly the orbifolded version of N = 2 class S theories, where an N = 2 vector and hypermultiplets decompose into a number of N = 1 SU(N ) vector multiplets connected by N = 1 bifundamental chiral multiplets, and a number of N = 1 bifundamental chiral multiplets respectively
Summary
Branes give rise to N = 1 SU(N ) vector multiplet and the open strings between the former and the N D4-branes stretched to +∞ (−∞) give rise to N sets of fundamental and antifundmental chiral multiplets, qL and qL (qR and qR) We add to this theory a particular marginal superpotential coupling W = Tr(qLqL)adj(qRqR)adj, where In a similar way for the (anti-)fundamental chiral multiplets, we consider the subgroups which act on the fundamental representations as diag(α−1/21N , α1/21N , α3/21N , . For each oriented rhombus there is a quartic coupling This theory is chiral, free from the gauge anomaly: each SU(N ) gauge group has 2N fundamental and 2N anti-fundamental chiral multiplets. We consider the properties of this quiver theory and its infrared SCFT
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