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A bstract We demonstrate the presence of non-invertible symmetries in an infinite family of superconformal Argyres-Douglas theories. This class of theories arises from diagonal gauging of the flavor symmetry of a collection of multiple copies of D p (SU (N) ) theories. The same set of theories that we study can also be realized from 6d N N = (1, 0) compactification on a torus. The main example in this class is the (A 2, D 4) theory. We show in detail that this specific theory bears the same structures of non-invertible duality and triality defects as those of N N = 4 super Yang-Mills with gauge algebra 𝔰𝔲 (2). We extend this result to infinitely many other Argyres-Douglas theories in the same family, including those with central charges a = c whose conformal manifold is one dimensional, and those with a ≠ c whose conformal manifold has dimension larger than one. Our result is supported by examining certain special cases that can be realized in terms of theories of class 𝒮.
Carta et al. (Mon,) studied this question.
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