Chern-Simons-Fermion Vector Model with Chemical Potential

Abstract

We study SU(N) level k Chern-Simons theories coupling to a fundamental fermion with chemical potential for U(1) flavor symmetry. We solve this system exactly in the 't Hooft limit, N,k\to\infty with λ= N/k fixed. The solution exists up to |λ|=1 for a fixed value of chemical potential. We study the system beyond |λ|=1 by considering U(N) gauge group and taking the diagonal U(1) holonomy into account. The result suggests the system becomes unstable and a phase transition happens at |λ|=1.

12 pages, 5 figures, v2: a note in Introduction, comments in Section 4, a reference and acknowledgement added

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• Unitarity, Crossing Symmetry and Duality in the scattering of $\mathcal{N}=1$ Susy Matter Chern-Simons theories
• Chern Simons Bosonization along RG Flows
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• Anomalous Dimensions in Non-Supersymmetric Bifundamental Chern-Simons Theories
• Constraining momentum space correlators using slightly broken higher spin symmetry
• A Note on Large N Thermal Free Energy in Supersymmetric Chern-Simons Vector Models
• Scattering Amplitude and Bosonization Duality in General Chern-Simons Vector Models
• All tree level scattering amplitudes in Chern-Simons theories with fundamental matter
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• Large N Chern-Simons with massive fundamental fermions - A model with no bound states
• Chern-Simons-Ghost Theories and de Sitter Space
• Bose-Fermi Chern-Simons Dualities in the Higgsed Phase
• Dense Chern-Simons Matter with Fermions at Large N
• Duality and an exact Landau-Ginzburg potential for quasi-bosonic Chern-Simons-Matter theories
• Chern-Simons theory coupled to bifundamental scalars
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• Dual Superconformal Symmetry of $\mathcal{N}=2$ Chern-Simons theory with Fundamental Matter at Large $N$
• 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
• Matter Chern Simons Theories in a Background Magnetic Field
• The large $N$ phase diagram of $\mathcal{N}=2$ $SU(N)$ Chern-Simons theory with one fundamental chiral multiplet
• Breaking conformal invariance- Large N Chern-Simons theory coupled to massive fundamental fermions
• Mapping Large N Slightly Broken Higher Spin (SBHS) theory correlators to Free theory correlators
• The Hilbert Space of large $N$ Chern-Simons matter theories
• New Phase Transitions in Chern-Simons Matter Theory
• On thermal correlators and bosonization duality in Chern-Simons theories with massive fundamental matter
• Large N Thirring Matter in Three Dimensions