Dynamics of N=2 Supersymmetric Chern-Simons Theories

David Tong

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Dynamics of N=2 Supersymmetric Chern-Simons Theories

David Tong

High Energy Physics - Theory · Submitted 19 May 2000

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The generation of Chern-Simons couplings at low-energies results in novel behaviour including compact Coulomb branches, non-abelian gauge symmetry enhancement and interesting patterns of dynamically generated potentials.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.20 · mentions code or data availability 0.01.

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We discuss several aspects of three dimensional N=2 supersymmetric gauge theories coupled to chiral multiplets. The generation of Chern-Simons couplings at low-energies results in novel behaviour including compact Coulomb branches, non-abelian gauge symmetry enhancement and interesting patterns of dynamically generated potentials. We further show how, given any pair of mirror theories with N=4 supersymmetry, one may flow to a pair of mirror theories with N=2 supersymmetry by gauging a suitable combination of the R-symmetries. The resulting theories again have interesting properties due to Chern-Simons couplings.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We discuss several aspects of three dimensional N=2 supersymmetric gauge theories coupled to chiral multiplets.	contribution 0.65	0.69	0.06	asserted 0.75
s1	The generation of Chern-Simons couplings at low-energies results in novel behaviour including compact Coulomb branches, non-abelian gauge symmetry enhancement and interesting patterns of dynamically generated potentials.	result 0.97	0.54	0.44	asserted 1.00
s2	We further show how, given any pair of mirror theories with N=4 supersymmetry, one may flow to a pair of mirror theories with N=2 supersymmetry by gauging a suitable combination of the R-symmetries.	contribution 0.72	0.88	0.22	asserted 0.82
s3	The resulting theories again have interesting properties due to Chern-Simons couplings.	result 0.57	0.46	0.10	asserted 0.98

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 0.92.

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The paper

Original abstract

We discuss several aspects of three dimensional N=2 supersymmetric gauge theories coupled to chiral multiplets. The generation of Chern-Simons couplings at low-energies results in novel behaviour including compact Coulomb branches, non-abelian gauge symmetry enhancement and interesting patterns of dynamically generated potentials. We further show how, given any pair of mirror theories with N=4 supersymmetry, one may flow to a pair of mirror theories with N=2 supersymmetry by gauging a suitable combination of the R-symmetries. The resulting theories again have interesting properties due to Chern-Simons couplings.

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References

Forward citations

Cited by 16 Pith papers

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

Monopole Operators and Mirror Symmetry in Three Dimensions
hep-th 2002-07 accept novelty 8.0 of 10

Monopole operators in 3d supersymmetric QED are constructed and shown to carry quantum numbers matching mirror-symmetry predictions, with the Nf=1 case implying free fields and a proof of basic 3d mirror symmetry.
From pq-webs to magnetic quivers and back II: distributional indices and 5d theories breaking bad
hep-th 2026-10 conditional novelty 7.0 of 10

Excessive nilpotent Higgsings make the 5d superconformal index distributional; the thresholds and frame structure match the associated 3d magnetic quiver's bad and broken phases.
From pq-webs to magnetic quivers and back I: dictionary and deformations
hep-th 2026-10 conditional novelty 7.0 of 10

For the N+SU(N)_0^{k-1}+N box theories, five-dimensional masses and instanton couplings are bijectively mapped to FI parameters of the magnetic quiver S_{k,N}, and the map is checked on deformation flows.
Perturbative Holonomy Potentials and Vacua in Chiral Supersymmetric Gauge Theories
hep-th 2026-10 accept novelty 7.0 of 10

A closed-form one-loop exact D-term coefficient gives global perturbative control of semiclassical vacua in chiral supersymmetric gauge theories on R^3 x S^1.
A Chiral-Planar dualization algorithm for 3d $\mathcal{N}=2$ Chern-Simons-matter theories
hep-th 2025-05 conditional novelty 7.0 of 10

A new mirror-like dualization algorithm produces abelian planar duals for a broad class of chiral N=2 Chern-Simons quiver theories, with explicit symmetry-enhancement predictions.

Show 11 more citing papers

Classification of Minimal Abelian Coulomb Branches
hep-th 2024-12 conditional novelty 7.0 of 10

Abelian 3d N=4 quivers with isolated Coulomb branch singularities are exactly stable chains and well-defined cycles, with geometries given by U(1) or finite cyclic quotients.
Monopole operators and Hilbert series of Coulomb branches of 3d N = 4 gauge theories
hep-th 2013-09 accept novelty 7.0 of 10

A sum over dressed monopole operators computes the Hilbert series, and hence the chiral ring, of the Coulomb branch of any good or ugly 3d N=4 gauge theory.
Aspects of 3d N=2 Chern-Simons-Matter Theories
hep-th 2013-05 accept novelty 7.0 of 10

The Witten index of 3d N=2 Chern-Simons-matter theories with generic real masses is given by a shifted WZW level counting formula and is invariant under phase transitions.
Generalized Superconformal Index for Three Dimensional Field Theories
hep-th 2011-06 conditional novelty 7.0 of 10

A generalized superconformal index with background magnetic flux for global symmetries reproduces the mirror-symmetry matching between N=2 SQED with N_f flavors and its dual.
Notes on SUSY Gauge Theories on Three-Sphere
hep-th 2010-12 accept novelty 7.0 of 10

The one-loop contribution of a chiral multiplet with arbitrary R-charge q to the S^3 partition function is the double sine function s_{b=1}(i - iq - l sigma), extending the Kapustin-Willett-Yaakov formula beyond canon...
Bosonization and Mirror Symmetry
hep-th 2016-08 conditional novelty 6.0 of 10

A controlled supersymmetry-breaking deformation of N=4 mirror symmetry yields the 2+1D bosonization duality between a free Dirac fermion and scalar QED3 with a level-1/2 Chern-Simons term.
Particle-Vortex Duality from 3d Bosonization
hep-th 2016-06 conditional novelty 6.0 of 10

Applying the conjectured 3d bosonization duality twice, with a time reversal in between, yields particle-vortex duality for bosons and for fermions, plus self-dual and vortex-vortex variants.
Aspects of Defects in 3d-3d Correspondence
hep-th 2015-10 accept novelty 6.0 of 10

The paper extends the 3d-3d correspondence to co-dimension 2 and 4 defects, identifying them with monodromy defects and Wilson loops in complex Chern-Simons theory, and checks the dictionary through state-integral mod...
Quantum moduli space of Chern-Simons quivers, wrapped D6-branes and AdS4/CFT3
hep-th 2011-05 conditional novelty 6.0 of 10

Reducing M-theory on a circle yields Chern-Simons quiver gauge theories dual to AdS4 x Y^{p,q}(CP2) for the full range of q and for every torsion G4 flux, with ranks and levels that differ from the earlier equal-rank ...
AGT on the S-duality Wall
hep-th 2010-09 conditional novelty 6.0 of 10

The S^3 partition function of the mass-deformed 3D theory T[SU(2)] on the S-duality wall equals the Liouville S-duality kernel for one-point torus conformal blocks, up to one uncomputed factor.
TASI Lectures on Solitons
hep-th 2005-09 accept novelty 3.0 of 10

The lectures give a unified, moduli-space-centered account of instantons, monopoles, vortices and domain walls, showing how each arises from another by dimensional reduction, a scalar vev, or a mass deformation.

How the literature uses it

24 arXiv papers cite this in 45 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 24 sentences without a confident label

Uses its method or tool 1 paper

In particular, following [ref] , we have turned on a CS terms in those gauge nodes where the effective number of fermions is odd, which for both quivers of our example are the U(2) nodes.

Surface operators, chiral rings, and localization in N=2 gauge theories · Chern-Simons terms in an SU(4) example · 0.89

Compares with it 3 papers

Once again, the Hilbert series is consistent with the analysis of [ref] .

The moduli spaces of $3d$ ${\cal N} \ge 2$ Chern-Simons gauge theories and their Hilbert series · $SU(2)$ theories with doublets · 0.99
As a remark, this mirror agrees with proposed mirror[Therein, the kernel of the transposed charge matrix $Ker(ρ^T)={λ [ ℓ_2ℓ_3 ℓ_3 1 1 k_4 ℓ_1ℓ_2ℓ_3 ]^T | λ∈}$ is utilized to derive the charge matrix of the mirror theory.] of [ref] and reviewed in [ref] , as well as subsequent works.

Classification of Minimal Abelian Coulomb Branches · How to compute the mirror dual? · 0.92
The mirror map [ref] agrees with the one written in [ref] .

Monopole operators and Hilbert series of Coulomb branches of 3d N = 4 gauge theories · Mapping gauge invariants and global symmetries · 0.92

Cites it as background 12 papers

We first review the essential properties of the chiral mirror symmetry duality [ref] .

Nonsupersymmetric dualities from mirror symmetry · Chiral mirror symmetry · 0.93
See the original papers [ref] , as well as the later elaborations by Intriligator and Seiberg [ref] .

Perturbative Coulomb branches on $\mathbb{R}^3\times S^1$: the global D-term potential · Review of earlier results · 0.85
An application of the SCI is to study 3d mirror symmetry [ref] of which the duality between the $= 2$ SQED and the XYZ model is the simplest example.

Superconformal index on $\mathbb{RP}^2 \times \mathbb{S}^1$ and mirror symmetry · Introduction · 0.94

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