4d N=2 SCFTs from 6d (1,0) on T^2 and Class S

Abstract: I will compare two constructions of 4d N=2 SCFTs from 6d: compactifying (2,0) SCFTs on a punctured Riemann surface, and compactifying (1,0) SCFTs on a torus. We find that every theory obtained from compactifying the (2,0) theories on a three punctured sphere, with one simple puncture, can be alternatively realized by a torus compactification of a (1,0) SCFT. The 6d (1,0) SCFTs of relevance are all Higgs branch RG-flows/complex structure deformations of conformal matter and this structure is replicated via Coulomb branch flows amongst the resulting 4d theories. I will discuss the geometric construction of 6d (1,0) SCFTs and how to determine the central charges and global symmetries of the torus compactification; the necessary data to match to the class S formulation. Finally, I will explicitly describe the overlap between the two constructions.

HEP - theorymathematical physics

Audience: researchers in the topic

QFT and Geometry

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