Chern-Simons dualities with multiple flavors at large $N$

Abstract

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 $\mathcal{N}=0,1,$ and $2$ supersymmetry.

arXiv comment45 pages, 4 figures; v2: updated references, one equation fixed

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• Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principle
• Line operators in Chern-Simons-Matter theories and Bosonization in Three Dimensions II -Perturbative Analysis and All-loop Resummation
• Mapping Large N Slightly Broken Higher Spin (SBHS) theory correlators to Free theory correlators
• The Hilbert Space of large $N$ Chern-Simons matter theories
• Scattering Amplitudes in $\mathcal{N}=3$ Supersymmetric $SU(N)$ Chern-Simons-Matter Theory at Large $N$
• On thermal correlators and bosonization duality in Chern-Simons theories with massive fundamental matter
• Fermionic dualities with axial gauge fields