Charting the phase diagram of QCD3

We analyze the 2+1 dimensional gauge theory with two fermions in the real adjoint representation with non-zero Chern-Simons level. We propose a new fermion-fermion dualities between strongly-coupled theories and determine the quantum phase using the structure of a 'Duality Chain'. We argue that when Chern-Simons level is sufficiently small, the theory in general develops a strongly coupled quantum phase described by an emergent topological field theory. For special cases, our proposal predicts an interesting dynamical scenario with spontaneous breaking of partial 1-form or 0-form global symmetry. It turns out that SL(2, Z) transformation and the generalized level/rank duality are crucial for the unitary group case. We further unveil the dynamics of the 2+1 dimensional gauge theory with any pair of adjoint/rank-two fermions or two bifundamental fermions using similar 'Duality Chain'.

Section: • Construction Of Two Dimensional Phase Diagramsmentioning

confidence: 98%

Section: Matching Su (N ) 1 + 2 ψ Adj Phase From Two Approachesmentioning

confidence: 99%

Section: Special and General Matching Of Gravitational Countertermsmentioning

confidence: 99%

See 1 more Smart Citation

Phases of two adjoints QCD3 and a duality chain

Choi

2020

“…when rank(M) = N f . 14 We are grateful to the authors of [85] for a useful discussion about the case with non-maximal rank.…”

Section: K ≥mentioning

confidence: 99%

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.

“…More details on such subtleties of the phase diagram can be found in Refs. [36,37]. A potential issue with this assumption is that the Grassmannian of the SU side only exists for small mass deformations, see Fig.…”

Section: Review Of Qcd 3 Symmetry-breakingmentioning

confidence: 99%

Generalization of QCD3 symmetry-breaking and flavored quiver dualities

Aitken

Baumgartner

Choi

et al. 2020

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.