Dualities and phases of 3d$$ \mathcal{N}=1 $$ SQCD

Choi, Changha; Roček, Martin; Sharon, Adar

doi:10.1007/jhep10(2018)105

Cited by 39 publications

(106 citation statements)

References 59 publications

(101 reference statements)

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“…However, the improved understanding that we now have of the dynamics of N = 1 three-dimensional CS-matter theories (see e.g. [12,[16][17][18][49][50][51][52]), together with a few more facts which were not fully appreciated previously, let us reconsider this problem and provide a more complete and satisfactory picture, in the regime F < N . For instance, in Table 2 we list all BPS domain walls of SU (N ) SQCD for N ≤ 5.…”

Section: Introduction and Summary Of Resultsmentioning

confidence: 99%

“…Such an effective description will allow us to use a semi-classical analysis to understand the relevant deformation triggered by the mass term. For instance, following [18] we will show that massive vacua match. The duality (4.4) is a strong consistency check of our proposal, since it relates k-walls to time-reversed (N − k)-walls.…”

Section: Three-dimensional Worldvolume Theorymentioning

confidence: 90%

“…Such a phase transition-essentially because of supersymmetry-is necessarily second order and thus it is described by a 3d N = 1 SCFT. To understand this point, already stressed in [16,18], notice the following facts. First, in our range of parameters, the number min(k, F ) − max(0, F + k − N ) + 1 of vacua at m < 0 is always greater than one, while at m > 0 there is a single vacuum.…”

Section: Analysis Of Vacuamentioning

confidence: 90%

“…Let us notice another interesting fact. For k = 1, the proposed domain wall theory enjoys another N = 1 duality [18]:…”

Section: Three-dimensional Worldvolume Theorymentioning

confidence: 99%

“…the IR, at least within a basin of attraction. Indeed, it has been shown in [66,67,18] that, at large CS level h, the N = 2 point is attractive. 16 It is very plausible, and we conjecture, that this is true even at small values of the CS level.…”

Section: Supersymmetry Enhancementmentioning

confidence: 99%

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Living on the walls of super-QCD

et al. 2019

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We study BPS domain walls in four-dimensional N = 1 massive SQCD with gauge group SU (N ) and F < N flavors. We propose a class of threedimensional Chern-Simons-matter theories to describe the effective dynamics on the walls. Our proposal passes several checks, including the exact matching between its vacua and the solutions to the four-dimensional BPS domain wall equations, that we solve in the small mass regime. As the flavor mass is varied, domain walls undergo a second-order phase transition, where multiple vacua coalesce into a single one. For special values of the parameters, the phase transition exhibits supersymmetry enhancement. Our proposal includes and extends previous results in the literature, providing a complete picture of BPS domain walls for F < N massive SQCD. A similar picture holds also for SQCD with gauge group Sp(N ) and F < N + 1 flavors.

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Section: Introduction and Summary Of Resultsmentioning

confidence: 99%

Section: Three-dimensional Worldvolume Theorymentioning

confidence: 90%

Section: Analysis Of Vacuamentioning

confidence: 90%

“…Let us notice another interesting fact. For k = 1, the proposed domain wall theory enjoys another N = 1 duality [18]:…”

Section: Three-dimensional Worldvolume Theorymentioning

confidence: 99%

Section: Supersymmetry Enhancementmentioning

confidence: 99%

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Living on the walls of super-QCD

et al. 2019

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Generalization of QCD3 symmetry-breaking and flavored quiver dualities

Aitken

Baumgartner

Choi

et al. 2020

J. High Energ. Phys.

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We extend the recently proposed symmetry breaking scenario of QCD 3 to the socalled "master" (2+1)d bosonization duality, which has bosonic and fermionic matter on both ends. Using anomaly arguments, a phase diagram emerges with several novel regions. We then construct 2+1 dimensional dualities for flavored quivers using node-by-node dualization. Such dualities are applicable to theories which live on domain walls in QCD 4 -like theories with dynamical quarks. We also derive dualities for quivers based on orthogonal and symplectic gauge groups. Lastly, we support the conjectured dualities using holographic constructions, even though several aspects of this holographic construction remain mostly qualitative.

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Infrared phases of 2d QCD

Delmastro

Gomis

2023

J. High Energ. Phys.

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We derive the necessary and sufficient conditions for a 2d QCD theory of massless gluons and left and right chiral quarks in arbitrary representations of a gauge group G to develop a mass gap. These results are obtained from spectral properties of the lightcone and temporal QCD Hamiltonians. The conditions can be explicitly solved, and we provide the complete list of all 2d QCD theories that have a quantum mechanical gap in the spectrum, while any other theory not in the list is gapless. The list of gapped theories includes QCD models with quarks in vector-like as well as chiral representations. The gapped theories consist of several infinite families of classical gauge groups with quarks in rank 1 and 2 representations, plus a finite number of isolated cases. We also put forward and analyze the effective infrared description of QCD — TQFTs for gapped theories and CFTs for gapless theories — and exhibit several interesting features in the infrared, such as the existence of non-trivial global ’t Hooft anomalies and emergent supersymmetry. We identify 2d QCD theories that flow in the infrared to celebrated CFTs such as minimal models, bosonic and supersymmetric, and Wess-Zumino-Witten and Kazama-Suzuki models.

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Dualities and phases of 3d$$ \mathcal{N}=1 $$ SQCD

Cited by 39 publications

References 59 publications

Living on the walls of super-QCD

Living on the walls of super-QCD

Generalization of QCD3 symmetry-breaking and flavored quiver dualities

Infrared phases of 2d QCD

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