Curious patterns of IR symmetry enhancement

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We consider a known sequence of dualities involving 4d N = 1 theories with Spin(n) gauge groups and use it to construct a new sequence of models exhibiting IR symmetry enhancement. Then, motivated by the observed pattern of IR symmetries we conjecture six-dimensional theories the compactification of which on a Riemann surface yields the 4d sequence of models along with their symmetry enhancements, and put them to several consistency checks.

Section: Gauge Groupmentioning

confidence: 97%

“…The symmetry enhancement observed in each of the models above is as follows [4], 5 Throughout this note, gauge and global symmetry indices will be suppressed in the superpotentials.…”

Section: Symmetry Enhancement In Spin(n+4) Models and Compactificatiomentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Symmetry enhancement in 4d Spin(n) gauge theories and compactification from 6d

Sela

Zafrir

2019

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“…We are grateful to Gabi Zafrir for suggesting this connection 16. Minimal punctures of a different sign in notations of[4].…”

mentioning

confidence: 99%

Sequences of 6d SCFTs on generic Riemann surfaces

Razamat

Sabag

2020

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139

We consider compactifications of 6d minimal (D N +3 , D N +3 ) type conformal matter SCFTs on a generic Riemann surface. We derive the theories corresponding to three punctured spheres (trinions) with three maximal punctures, from which one can construct models corresponding to generic surfaces. The trinion models are simple quiver theories with N = 1 SU (2) gauge nodes. One of the three puncture non abelian symmetries is emergent in the IR. The derivation of the trinions proceeds by analyzing RG flows between conformal matter SCFTs with different values of N and relations between their subsequent reductions to 4d. In particular, using the flows we first derive trinions with two maximal and one minimal punctures, and then we argue that collections of N minimal punctures can be interpreted as a maximal one. This suggestion is checked by matching the properties of the 4d models such as 't Hooft anomalies, symmetries, and the structure of the conformal manifold to the expectations from 6d. We then use the understanding that collections of minimal punctures might be equivalent to maximal ones to construct trinions with three maximal punctures, and then 4d theories corresponding to arbitrary surfaces, for 6d models described by two M 5 branes probing a Z k singularity. This entails the introduction of a novel type of maximal puncture. Again, the suggestion is checked by matching anomalies, symmetries and the conformal manifold to expectations from six dimensions. These constructions thus give us a detailed understanding of compactifications of two sequences of six dimensional SCFTs to four dimensions. arXiv:1910.03603v1 [hep-th] 8 Oct 2019 7 Discussion 43 A N = 1 superconformal index 44 B Duality proof of symmetry enhancement 46 C Duality proof of exchanging minimal punctures 49

A tale of exceptional 3d dualities

Benvenuti

2019

121

We consider interesting Seiberg dualities for Usp gauge theories with an antisymmetric, 8 fundamentals and no superpotential. We reduce to three dimensions and systematically analyze deformations triggered by real and complex masses, reaching a plethora of N = 2 dualities for U(N) and Usp(2N) gauge theories, possibly with monopole superpotentials and Chern-Simons interactions. Special cases of these "exceptional dualities" are: supersymmetry enhancement dualities, "duality appetizers" and many known dualities relating rank-1 gauge groups. The 4d N = 1 Usp dualities provide a unified perspective on many curious phenomena of 3d and 4d gauge theories with four supercharges. Finally, we propose a free mirror for A 2N Argyres-Douglas, with its related adjoint-Usp(2N) duality, and we construct a mirror for adjoint-U(N), with an arbitrary number flavors and zero superpotential.