Phases of QCD${}_3$ with three families of fundamental flavors

Abstract

We explore the phase diagram for an $SU(N)$ gauge theory in $2+1$ dimensions with three families of fermions with different masses, all in the fundamental representation. The phase diagram is three dimensional and contains cuboid, planar and linear quantum regions, depending on the values of the fermionic masses. Among other checks, we consider the consistency with boson/fermion dualities and verify the reduction of the phase diagram to the one and two-family diagrams.

arXiv comment30 pages; A new scenario added in section 2 and three-dimensional diagram is also added for each case

References in corpus (21)

• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Level/rank Duality and Chern-Simons-Matter Theories
• Particle-Vortex Duality from 3d Bosonization
• Correlation Functions of Large N Chern-Simons-Matter Theories and Bosonization in Three Dimensions
• Baryons, monopoles and dualities in Chern-Simons-matter theories
• Comments on Global Symmetries, Anomalies, and Duality in (2+1)d
• Chern-Simons-matter dualities with $SO$ and $USp$ gauge groups
• Chern Simons duality with a fundamental boson and fermion
• Correlators of Large N Fermionic Chern-Simons Vector Models
• Phases of large $N$ vector Chern-Simons theories on $S^2\times S^1$
• Phases Of Adjoint QCD${}_3$ And Dualities
• A Symmetry Breaking Scenario for QCD${}_3$
• More Abelian Dualities in 2+1 Dimensions
• Three-dimensional dualities with bosons and fermions
• Phases of $\mathcal{N}=1$ Theories in 2+1 Dimensions
• A master bosonization duality
• Dualities and Phases of 3D N=1 SQCD
• 3d Abelian Dualities with Boundaries
• Novel 3d bosonic dualities from bosonization and holography
• Charting the phase diagram of QCD${}_3$
• Phases of Flavor Broken QCD${}_3$