D-type conformal matter and SU/USp quivers

Self Cite

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

Section: Expectations From Six Dimensionsmentioning

confidence: 99%

Section: Flows That Generate Extra Punctures In D N +3 Compactificationsmentioning

confidence: 99%

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Sequences of 6d SCFTs on generic Riemann surfaces

Razamat

Sabag

2020

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139

“…The explanation will be in terms of the compactification of 6d SCFTs on a torus with fluxes. In order to understand the logic of the approach we first review the methods introduced in [15][16][17] to conjecture 4d field theories generated by such compactifications. We start with a 6d N = (1, 0) SCFT that we wish to compactify on a torus to four dimensions with fluxes in its global symmetry supported on the torus.…”

Section: Compactification From Six Dimensionsmentioning

confidence: 99%

“…However, we need to consider the effect of the flux. This was analyzed in [15][16][17], and the conclusion reached there is that the flux leads to domain walls between different 5d gauge theories. The resulting picture is that when we reduce on the first circle to 5d we end up with multiple copies of the 5d gauge theory description of the 6d SCFT interacting through the fields living on the domain walls.…”

Section: Compactification From Six Dimensionsmentioning

confidence: 99%

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

Sela

Zafrir

2019

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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.

Anomaly inflow, accidental symmetry, and spontaneous symmetry breaking

Bah

Bonetti

2020

We consider the 6d (1,0) SCFT on a stack of N M5-branes probing a C 2 /Z 2 singularity. In particular, we study its compactifications to four dimensions on a smooth genusg Riemann surface with non-trivial flavor flux, yielding a family of 4d CFTs. By tracking the M-theory origin of the global symmetries of the 4d CFTs, we detect the emergence of an accidental symmetry and the spontaneous symmetry breaking of a U (1) generator. These effects are visible from geometric considerations and not apparent from the point of view of the compactification of the 6d field theory. These phenomena leave an imprint on the 't Hooft anomaly polynomial of the 4d CFTs, which is obtained from recently developed anomaly inflow methods in M-theory [1]. In the large-N limit, we identify the gravity dual of the 4d setups to be a class of smooth AdS 5 solutions first discussed by Gauntlett-Martelli-Sparks-Waldram. Using our anomaly polynomial, we compute the conformal central charge and a non-Abelian flavor central charge at large N , finding agreement with the holographic predictions.