A master bosonization duality

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.

Section: Brief Review Of Master Duality and Notationmentioning

confidence: 99%

“…Without such interactions we would not find a matching of the dualities in phase II. See [26,27] for more details. It is useful to think of the interactions as acting unidirectionally -the scalars can influence the mass of the fermions but not vice versa.…”

Section: Background Fieldsmentioning

confidence: 99%

Generalization of QCD3 symmetry-breaking and flavored quiver dualities

Aitken

Baumgartner

Choi

et al. 2020

“…9 Before doing so, a subtle point is that having both scalars and fermions charged under the same node naturally gives rise to scalar-fermion interactions. These are identical in form to the interaction of the master bosonization duality [3,4]. Specifically, these are interactions of the form Dualizing the second node also turns it into a U group, and changes the scalars (fermions) degrees of freedom to fermions (scalars).…”

Section: Dualities With Extra Flavorsmentioning

confidence: 99%

“…Once again they are conjectured to be dual to one another, but the flavor bound of N 2 = k 1 has been replaced by k 1 < N 2 < N * (N 2 , k 1 ) and k 2 < N 1 < N * (N 1 , k 2 ), which allows us a little more freedom in choosing parameters. 3 The explicit form of the Lagrangians for Theories B 2 and C 2 are given in (A.5). Note the presence of the mixed BF term between c and g, which arises from the fact that dual fermion is charged under both U (1) groups.…”

Section: )mentioning

confidence: 99%

New and old fermionic dualities from 3d bosonization

Aitken

Choi

Karch

2020

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.

“…In the absence of SUSY, there are several broad sequences of proposed dualities. The first is the "master duality" of [32,33], which relates Chern-Simons gauge theory coupled to fundamental Dirac fermions ψ (we label the fermion of the dual as Ψ) and complex "Wilson-Fisher" scalars φ (Φ); its precise statement at finite N and k is…”

Section: Introductionmentioning

confidence: 99%

Chern-Simons dualities with multiple flavors at large N

Jensen

Patil

2019

Self Cite

We study U (N ) k Chern-Simons theory coupled to fundamental fermions and scalars in a large N 't Hooft limit. We compute the thermal free energy at high temperature, as well as two-and three-point functions of simple gauge-invariant operators. Our findings support various dualities between Chern-Simons-matter theories with N = 0, 1, and 2 supersymmetry.1 When either N f or Ns = 0, i.e. when we have Chern-Simons theory coupled to purely scalar or fermion matter, there is evidence [36] for a different dual description slightly beyond the "flavor bounds." 2 Both sides of the proposed duality (1.1) are characterized by discrete data, the rank N , level k, and the number of fundamental fields, as well as an approximately marginal operator (ψφ)(φ † ψ). It is not known whether this operator becomes irrelevant or relevant at large but finite N .