2023
DOI: 10.1007/jhep07(2023)135
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Comments on Non-invertible Symmetries in Argyres-Douglas Theories

Abstract: 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 Dp(SU(N)) theories. The same set of theories that we study can also be realized from 6d $$ \mathcal{N} $$ N = (1, 0) compactification on a torus. The main example in this class is the (A2, D4) theory. We show in detail that this specific theory… Show more

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Cited by 13 publications
(4 citation statements)
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“…where • ∈ { x, y, z }. As for (2.1), the base-change (4.3) boils down to substituting 22 the variable • with uv in all the resolution maps of appendix A. We saw that, substituting…”
Section: Jhep05(2024)306mentioning
confidence: 99%
See 2 more Smart Citations
“…where • ∈ { x, y, z }. As for (2.1), the base-change (4.3) boils down to substituting 22 the variable • with uv in all the resolution maps of appendix A. We saw that, substituting…”
Section: Jhep05(2024)306mentioning
confidence: 99%
“…21 We remark that the subscript C 1 under the × symbol in (4.3) is a common notation for the algebraic notion of "fibered product" [140]. 22 The map ε is well-defined and unique by the universal property of the fibered-product. 23 This is true in the sense that different irreducible components of ε −1 (0) intersect according to the Dynkin diagram of g but we do not extract from the Dynkin diagram the datum on the self-intersection of the P 1 's entering in ε −1 (0).…”
Section: Jhep05(2024)306mentioning
confidence: 99%
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“…It also admits a realization in class S of type A 2n−1 , with four twisted trivial punctures [2n + 1] t and four untwisted minimal punctures [2n − 1, 1] on a sphere [68, section 5.1]. Quivers of this type have been studied in detail in [69][70][71][72]. As discussed around [72, (4.4)], there is a one-dimensional submanifold of the conformal manifold upon which the duality group SL(2, Z) acts, and the S generator of SL(2, Z) also acts on the global structure of the gauge group.…”
Section: Discrete Gauging and Mixed 'T Hooft Anomaliesmentioning
confidence: 99%