Exact results and Schur expansions in quiver Chern-Simons-matter theories
arXiv:2008.00465 · doi:10.1007/JHEP10(2020)022
Abstract
We study several quiver Chern-Simons-matter theories on the three-sphere, combining the matrix model formulation with a systematic use of Mordell's integral, computing partition functions and checking dualities. We also consider Wilson loops in ABJ(M) theories, distinguishing between typical (long) and atypical (short) representations and focusing on the former. Using the Berele-Regev factorization of supersymmetric Schur polynomials, we express the expectation value of the Wilson loops in terms of sums of observables of two factorized copies of pure Chern-Simons theory on the sphere. Then, we use the Cauchy identity to study the partition functions of a number of quiver Chern-Simons-matter models and the result is interpreted as a perturbative expansion in the parameters , where are the masses. Through the paper, we incorporate different generalizations, such as deformations by real masses and/or Fayet-Iliopoulos parameters, the consideration of a Romans mass in the gravity dual, and adjoint matter.
arXiv commenti+65 pages, 21 figures, v2: minor typos corrected
References in corpus (60)
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
- Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
- Fractional M2-branes
- The Exact Superconformal R-Symmetry Extremizes Z
- Localization techniques in quantum field theories
- On Mirror Symmetry in Three Dimensional Abelian Gauge Theories
- Contact Terms, Unitarity, and F-Maximization in Three-Dimensional Superconformal Theories
- Comments on Chern-Simons Contact Terms in Three Dimensions
- Khovanov-Rozansky Homology and Topological Strings
- N=4 Superconformal Chern-Simons Theories with Hyper and Twisted Hyper Multiplets
- Exact Results in ABJM Theory from Topological Strings
- A supermatrix model for N=6 super Chern-Simons-matter theory
- The Virtue of Defects in 4D Gauge Theories and 2D CFTs
- On the moduli space of elliptic Maxwell-Chern-Simons theories
- The string origin of dyonic supergravity and its simple Chern-Simons duals
- Moduli spaces of Chern-Simons quiver gauge theories and AdS_4/CFT_3
- Three-Dimensional Gauge Dynamics from Brane Configurations with (p,q)-Fivebrane
- Soft matrix models and Chern-Simons partition functions
- A simple class of N=3 gauge/gravity duals
- The gauge dual of Romans mass
- Branes and Supersymmetry Breaking in Three Dimensional Gauge Theories
- RG Flows and Bifurcations
- Lectures on localization and matrix models in supersymmetric Chern-Simons-matter theories
- On the averages of characteristic polynomials from classical groups
- Link Homologies and the Refined Topological Vertex
- On the complete perturbative solution of one-matrix models
- 1/2-BPS Wilson Loops and Vortices in ABJM Model
- Quantum moduli space of Chern-Simons quivers, wrapped D6-branes and AdS4/CFT3
- 3D-partition functions on the sphere: exact evaluation and mirror symmetry
- Direct derivation of "mirror" ABJ partition function
- Roadmap on Wilson loops in 3d Chern-Simons-matter theories
- ABJM Wilson Loops in Arbitrary Representations
- The Partition Function of ABJ Theory
- Plane partitions with a "pit": generating functions and representation theory
- Chern-Simons matrix models and Stieltjes-Wigert polynomials
- Localization on three-dimensional manifolds
- Level-rank duality of the U(N) WZW model, Chern-Simons theory, and 2d qYM theory
- A Note on the Partition Function of ABJM theory on S^3
- Sum rules for characters from character-preservation property of matrix models
- Superconformal field theories from crystal lattices
- M2-brane Probe Dynamics and Toric Duality
- 3d-3d Correspondence Revisited
- Supersymmetric Chern-Simons-matter theory and phase transitions
- Romans-mass-driven flows on the D2-brane
- Supersymmetric D3/D5 for massive defects on curved space
- Solvable Quantum Grassmann Matrices
- Non-compact Topological Branes on Conifold
- ABJ Wilson loops and Seiberg Duality
- D-Brane Amplitudes in Topological String on Conifold
- Cauchy formula and the character ring
- Quantum phase transition in many-flavor supersymmetric QED
- Matrix models for classical groups and ToeplitzHankel minors with applications to Chern-Simons theory and fermionic models
- Two-Point Functions in ABJM Matrix Model
- Exact partition function in ABJM theory deformed by mass and Fayet-Iliopoulos terms
- Exact solution of Chern-Simons-matter matrix models with characteristic/orthogonal polynomials
- Mordell integrals and Giveon-Kutasov duality
- Polynomial solution of quantum Grassmann matrices
- Linking loops in ABJM and refined theory
- N=2 Chern-Simons-Matter Theories Without Vortices