Novel 3d bosonic dualities from bosonization and holography

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We construct novel fermion-fermion dualities in 2+1-dimensions using 3d bosonization dualities. This is achieved by relating two-node quiver theories using both the flavorbounded and flavor-violated 3d bosonization dualities. Such quivers can be viewed as a generalization of the fermionic particle-vortex duality. A special case of these quivers exhibits a Z 2 symmetry under interchange of the two nodes. Using orbifold techniques, we show that such dualities provide a novel way of deriving known 3d bosonization dualities with adjoint matter, thus unifying the non-Abelian bosonization dualities in an even larger duality web. We then use this construction to derive new dualities involving adjoint matter.

Section: B Generalized Fermion Particle-vortex Dualitymentioning

confidence: 72%

Section: Two-node Fermionic Quiversmentioning

confidence: 99%

“…9 See Refs. [11,12] for more details on how to dualize quivers using the master duality. we have a breaking of…”

Section: Dualities With Extra Flavorsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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New and old fermionic dualities from 3d bosonization

Aitken

Choi

Karch

2020

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“…Perhaps not by coincidence, we have explicitly broken the same U (1) global symmetry in the construction of the SU (N ) Yang-Mills n-node quivers [29]. Specifically, we introduced a det (Y i,i+1 ) terms and appropriate monopole term on the U side to eliminate the U (1) n−1 symmetry.…”

Section: Double-saturated Flavor Boundmentioning

confidence: 99%

Generalization of QCD3 symmetry-breaking and flavored quiver dualities

Aitken

Baumgartner

Choi

et al. 2020

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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.

Metastable vacua in large-N QCD3

Armoni

Dumitrescu

Festuccia

et al. 2020

We reexamine the vacuum structure of three-dimensional quantum chromodynamics (QCD 3 ) with gauge group SU (N ), N f fundamental quark flavors, and a level-k Chern-Simons term. This analysis can be reliably carried out in the large-N , fixed N f , k limit of the theory, up to certain assumptions that we spell out explicitly. At leading order in the large-N expansion we find N f +1 distinct, exactly degenerate vacuum superselection sectors with different patterns of flavor-symmetry breaking. The associated massless Nambu-Goldstone bosons are generically accompanied by topological Chern-Simons theories. This set of vacua explicitly realizes many candidate phases previously proposed for QCD 3 . At subleading order in the large-N expansion, the exact degeneracy between the different superselection sectors is lifted, leading to a multitude of metastable vacua. If we dial the quark masses, different metastable vacua can become the true vacuum of the theory, leading to a sequence of firstorder phase transitions. We show that this intricate large-N dynamics can be captured by the previously proposed bosonic dual theories for QCD 3 , provided these bosonic duals are furnished with a suitable scalar potential. Interestingly, this potential must include terms beyond quartic order in the scalar fields.