Vacuum structure of large $N$ QCD${}_3$ from holography

Abstract

We study the vacuum structure of three-dimensional $SU(N)$ gauge theory coupled to a Chern-Simons term at level $k$ and to $F$ fundamental Dirac fermions. We use a large $N$ holographic description based on a D3/D7 system in type IIB string theory compactified on a supersymmetry breaking circle. The multiple vacua of the theory and the transitions between them are nicely captured by the dual holographic background. The resulting phase diagram, which we derive both at leading and first subleading orders in the $1/N$ expansion, shows a rich structure where topological field theories, non-linear sigma models and first-order phase transitions appear.

41 pages, 17 figures

References in corpus (3)

• Level/rank Duality and Chern-Simons-Matter Theories
• Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy
• Embedding three-dimensional bosonization dualities into string theory

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• Three-dimensional Yang-Mills Chern-Simons theory from D3-brane background with D-instantons
• Holographic ${\mathrm{QCD}}_3$ and Chern-Simons theory from anisotropic supergravity
• Comments on Holographic Level/Rank Dualities
• Holographic spectroscopy of fermion with instantons