Comments on scaling limits of 4d N=2 theories
Davide Gaiotto, Nathan Seiberg, and Yuji Tachikawa
TL;DR
This paper analyzes the singular points in 4d N=2 SU(N) gauge theories with flavors, revealing that the low-energy physics involves coupled superconformal theories and an infrared free magnetic gauge group, supporting the a-theorem.
Contribution
It identifies the structure of the low-energy limit at singular points in these theories, showing the presence of coupled superconformal sectors and free hypermultiplets, clarifying previous ambiguities.
Findings
Low-energy physics described by coupled superconformal theories and magnetic SU(2) gauge group.
In the case n=2, one theory reduces to free hypermultiplets.
Supports the validity of the a-theorem in these contexts.
Abstract
We revisit the study of the maximally singular point in the Coulomb branch of 4d N=2 SU(N) gauge theory with N_f=2n flavors for N_f<2N. When n >= 2, we find that the low-energy physics is described by two non-trivial superconformal field theories coupled to a magnetic SU(2) gauge group which is infrared free. (In the special case n=2, one of these theories is a theory of free hypermultiplets.) This observation removes a possible counter example to a conjectured a-theorem.
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