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Correlators of Large N Fermionic Chern-Simons Vector Models

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arxiv 1211.1866 v1 pith:6DPWKITI submitted 2012-11-08 hep-th

Guy Gur-Ari , Ran Yacoby This is my paper · ORCID
classification hep-th
keywords chern-simonstheorycorrelatorscoupledcouplingdualityfermionichooft
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We consider the large N limit of three-dimensional U(N)_k Chern-Simons theory coupled to a Dirac fermion in the fundamental representation. In this limit, we compute several correlators to all orders in the `t Hooft coupling N/k. It was suggested recently that this theory is dual to the Legendre-transformed theory of scalar fields coupled to Chern-Simons gauge interactions. Our results show that this duality holds for any value of the `t Hooft coupling, at least at the level of the planar 3-point functions. In addition, we determine the sign in the duality transformation of the Chern-Simons level, as well as the relation between the "triple-trace" deformation which exists in the bosonic Chern-Simons theory and in the Legendre-transformed fermionic theory.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Large N Chern-Simons-matter fixed points with multiple flavors

    hep-th 2025-09 conditional novelty 7.0 of 10

    Multi-flavor quasi-bosonic Chern-Simons-matter theories have an IR-stable fixed point only for N_f=2 and N_f>=5 at weak coupling, and at large N_f the fixed point annihilates with another at lambda=24*pi/N_f.

  2. Correlators of Line Defect and Local Operator in Conformal Field Theories with a Slightly Broken Higher-Spin Symmetry

    hep-th 2025-05 conditional novelty 7.0 of 10

    All correlators of a straight mesonic line with the local higher-spin currents in large-N 3d CFTs are bootstrapped, giving tilde-lambda^2 = tan^2(pi Delta).

  3. Bosonization versus the Nielsen-Ninomiya theorem

    hep-th 2026-07 conditional novelty 6.5 of 10

    The 2D modified Villain model's Weyl operators reproduce free Dirac correlations in the continuum, and their no-doubler Dirac kernel is non-local, showing exactly how bosonization evades the Nielsen-Ninomiya theorem.

  4. Mass-deformed $\mathcal{N} = 3$ Supersymmetric Chern-Simons-Matter Theory

    hep-th 2019-08 conditional novelty 6.0 of 10

    The authors construct the unique mass-deformed N=3 U(N) Chern-Simons-Matter action and express it in N=1 superspace.

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