Theories with other simple gauge groups

We have spent so many pages to study

𝒩 = 2

gauge theories with gauge group

S U (2)

. In this section we move on to the analysis of larger gauge groups. We will ﬁrst study

S U (N)

gauge theories in some detail, and then go on to the case

S O (2 N)

. We also analyze the Argyres-Douglas CFTs obtained from these gauge theories, and show that they are given by the theories

X_{N}

and

Y_{N}

introduced in Sec. 10.5. We close the section by brieﬂy mentioning the Seiberg-Witten solutions to theories with other gauge groups in Sec. 11.6.

The curves that will be presented in this section might not be in the form most commonly found in the older literature. The relation between them would also be explained in Sec. 11.6.

11.1 Semiclassical analysis
11.2 Pure

S U (N)

theory
11.2.1 The curve
11.2.2 Infrared gauge coupling matrix
11.3

S U (N)

theory with fundamental ﬂavors
11.3.1

N_{f} = 1

11.3.2 General number of ﬂavors
11.4

S O (2 N)

theories
11.4.1 Semi-classical analysis
11.4.2 Pure

S O (2 N)

theory
11.4.3

S O (2 N)

theory with ﬂavors in the vector representation
11.5 Argyres-Douglas CFTs
11.5.1 Pure

S U (N)

theory
11.5.2

S U (N)

theory with two ﬂavors
11.5.3 Pure

S O (2 N)

theory
11.5.4 Argyres-Douglas CFTs and the Higgs branch
11.6 Seiberg-Witten solutions for various other simple gauge groups

11 Theories with other simple gauge groups