Generalization of QCD3 symmetry-breaking and flavored quiver dualities

Abstract

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.

Phases of two adjoints QCD3 and a duality chain

“…As a consequence, there are two different phase transitions upon varying the mass of fermions from negative to positive infinity. So far, the standard route to obtain a phase diagram consistent with various anomalies comes from finding two mutually non-local dual descriptions with common global symmetry [3][4][5][6][7][8][9]. Particularly, all these dual descriptions are in the semiclassical regime, in the sense that intermediate quantum phase could be accessed by weakly coupled analysis of dual descriptions.…”

“…See also [44][45][46][47][48][49][50][51][52][53] for the recent developments in the non-supersymmetric gauge theories in 2+1 dimensions. But there were restrictions on the parameter space depending on the number of flavors and Chern-simons level which called 'flavor-bound' in [9,54]. Extension of the bosonization duality to the all possible parameter space led to conjecture the existence of the non-perturbative quantum phase near the massless regime similar to the N = 1 supersymmetric theories [55][56][57].…”

“…Now the bosonization is carried out at the two distinguished critical points with two different mutually non-local dual descriptions [3]. This shape of the phase diagram has been successfully applied to the case of single adjoint/rank-two matter and some other cases such as single bifundamental fermions [4,5,[7][8][9]58] with various supporting checks [59][60][61][62][63][64][65]. (See [66] for the recent lecture note covering many aspects discussed above.)…”

New and old fermionic dualities from 3d bosonization

“…Following Ref. [12], a natural generalization is to add flavors on each of the two nodes. We do this in such a way to maintain the Z 2 symmetry, but this could of course be done more generally.…”

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