Unquenched flavor and tropical geometry in strongly coupled Chern-Simons-matter theories
arXiv:1011.6281 · doi:10.1007/JHEP10(2011)139
Abstract
We study various aspects of the matrix models calculating free energies and Wilson loop observables in supersymmetric Chern-Simons-matter theories on the three-sphere. We first develop techniques to extract strong coupling results directly from the spectral curve describing the large N master field. We show that the strong coupling limit of the gauge theory corresponds to the so-called tropical limit of the spectral curve. In this limit, the curve degenerates to a planar graph, and matrix model calculations reduce to elementary line integrals along the graph. As an important physical application of these tropical techniques, we study N=3 theories with fundamental matter, both in the quenched and in the unquenched regimes. We calculate the exact spectral curve in the Veneziano limit, and we evaluate the planar free energy and Wilson loop observables at strong coupling by using tropical geometry. The results are in agreement with the predictions of the AdS duals involving tri-Sasakian manifolds
arXiv comment32 pages, 7 figures. v2: small corrections, added an Appendix on the relation with the approach of 1011.5487. v3: further corrections and clarifications, final version to appear in JHEP
References in corpus (37)
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Adding flavor to AdS/CFT
- Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
- Surface Terms as Counterterms in the AdS/CFT Correspondence
- Fractional M2-branes
- Mesons in Gauge/Gravity Duals - A Review
- From weak to strong coupling in ABJM theory
- All genus correlation functions for the hermitian 1-matrix model
- Entropy of Near-Extremal Black p-branes
- Chern-Simons theory, matrix integrals, and perturbative three-manifold invariants
- Disk Instantons, Mirror Symmetry and the Duality Web
- Open string amplitudes and large order behavior in topological string theory
- Multi-Matrix Models and Tri-Sasaki Einstein Spaces
- Tropical Geometry and its applications
- Matrix Model as a Mirror of Chern-Simons Theory
- Nonperturbative Tests of Three-Dimensional Dualities
- Matrix Model Calculations beyond the Spherical Limit
- Exact Results in ABJM Theory from Topological Strings
- A supermatrix model for N=6 super Chern-Simons-matter theory
- Higher genus correlators for the hermitian matrix model with multiple cuts
- Remodeling the B-model
- Wilson loops in 3-dimensional N=6 supersymmetric Chern-Simons Theory and their string theory duals
- Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual
- Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
- Integrability of the holomorphic anomaly equations
- The gauge dual of Romans mass
- Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory
- Notes on adding D6 branes wrapping RP3 in AdS4 x CP3
- ABJM with Flavors and FQHE
- A note on the holography of Chern-Simons matter theories with flavour
- Massive type IIA string theory cannot be strongly coupled
- The Spectral Curve of the Lens Space Matrix Model
- Large N Duality, Lens Spaces and the Chern-Simons Matrix Model
- On Large N Solution of Gaiotto-Tomasiello Theory
- Unquenched flavor in the gauge/gravity correspondence
- New Geometries with in M Theory
- Integration over Tropical Plane Curves and Ultradiscretization
Cited by in corpus (38)
- Towards the F-Theorem: N=2 Field Theories on the Three-Sphere
- The Exact Superconformal R-Symmetry Extremizes Z
- ABJM theory as a Fermi gas
- Multi-Matrix Models and Tri-Sasaki Einstein Spaces
- The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere
- The gravity dual of supersymmetric gauge theories on a squashed three-sphere
- The large N limit of quiver matrix models and Sasaki-Einstein manifolds
- From Necklace Quivers to the F-theorem, Operator Counting, and T(U(N))
- Localization in Supergravity and Quantum Holography
- Exact results on ABJ theory and the refined topological string
- 3D-partition functions on the sphere: exact evaluation and mirror symmetry
- Three-sphere free energy for classical gauge groups
- Roadmap on Wilson loops in 3d Chern-Simons-matter theories
- M-theoretic matrix models
- Partition Functions of Superconformal Chern-Simons Theories from Fermi Gas Approach
- On the gravity dual of Chern-Simons-matter theories with unquenched flavor
- ABJM Wilson loops in the Fermi gas approach
- Instanton Effects in Orbifold ABJM Theory
- The F-Theorem and F-Maximization
- Interacting fermions and N=2 Chern-Simons-matter theories
- A 2d/1d Holographic Duality
- Operator Counting and Eigenvalue Distributions for 3D Supersymmetric Gauge Theories
- Thermodynamics of the brane in Chern-Simons matter theories with flavor
- Eigenvalue Distributions in Matrix Models for Chern-Simons-matter Theories
- Localization at large N in Chern-Simons-matter theories
- Large N phase transitions in supersymmetric Chern-Simons theory with massive matter
- Sphere correlation functions and Verma modules
- A Systematic Study on Matrix Models for Chern-Simons-matter Theories
- Classifying Superconformal Defects in Diverse Dimensions Part I: Superconformal Lines
- Localization on round sphere revisited
- On Large N Solution of N=3 Chern-Simons-adjoint Theories
- Quantum information probes of charge fractionalization in large- gauge theories
- M2-branes and plane partitions
- Holographical Description of BPS Wilson Loops in Flavored ABJM Theory
- Flavored ABJM theory on the sphere and holographic F-functions
- Flavors of entanglement
- Dualities from large N orbifold equivalence in Chern-Simons-matter theories with flavor
- Large limits of supersymmetric quantum field theories: A pedagogical overview