3d Mirror Symmetry from S-duality

Abstract

We consider type IIB $SL(2,\mathbb{Z})$ symmetry to relate the partition functions of different 5d supersymmetric Abelian linear quiver Yang-Mills theories in the $\Omega$-background and squashed $S^5$ background. By Higgsing S-dual theories, we extract new and old 3d mirror pairs. Generically, the Higgsing procedure yields 3d defects on intersecting spaces, and we derive new hyperbolic integral identities expressing the equivalence of the squashed $S^3$ partition functions with additional degrees of freedom on the $S^1$ intersection.

arXiv comment35 pages, 13 figures

References in corpus (86)

• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
• Mirror Symmetry in Three Dimensional Gauge Theories
• The Topological Vertex
• Webs of (p,q) 5-branes, Five Dimensional Field Theories and Grid Diagrams
• SUSY Gauge Theories on Squashed Three-Spheres
• Aspects of N=2 Supersymmetric Gauge Theories in Three Dimensions
• The Refined Topological Vertex
• Five-Dimensional Supersymmetric Gauge Theories and Degenerations of Calabi-Yau Spaces
• Branes, Superpotentials and Superconformal Fixed Points
• Integrating Over Higgs Branches
• D-particle bound states and generalized instantons
• Localization techniques in quantum field theories
• 3d dualities from 4d dualities
• On Mirror Symmetry in Three Dimensional Abelian Gauge Theories
• IR Duality in d=3 N=2 Supersymmetric USp(2N_c) and U(N_c) Gauge Theories
• Five-dimensional AGT Conjecture and the Deformed Virasoro Algebra
• Bootstrapping the superconformal index with surface defects
• Issues in Topological Gauge Theory
• Holomorphic Blocks in Three Dimensions
• The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere
• Matrix Models, Geometric Engineering and Elliptic Genera
• Dynamics of N=2 Supersymmetric Gauge Theories in Three Dimensions
• Supersymmetric Gauge Theories on the Five-Sphere
• Refined BPS state counting from Nekrasov's formula and Macdonald functions
• 3d dualities from 4d dualities for orthogonal groups
• N=1 Deformations and RG Flows of N=2 SCFTs
• BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and qq-characters
• Factorisation of N = 2 theories on the squashed 3-sphere
• Three-Dimensional Gauge Dynamics from Brane Configurations with (p,q)-Fivebrane
• Enhancement of Supersymmetry via Renormalization Group Flow and the Superconformal Index
• Quantum Algebraic Approach to Refined Topological Vertex
• Proving AGT conjecture as HS duality: extension to five dimensions
• On orbifolds of M-Strings
• Five-dimensional AGT Relation and the Deformed beta-ensemble
• Non-Lagrangian Theories from Brane Junctions
• Instanton counting, Macdonald function and the moduli space of D-branes
• Higgs branch localization in three dimensions
• Ding-Iohara-Miki symmetry of network matrix models
• Supersymmetric gauge theories with decoupled operators and chiral ring stability
• Explicit examples of DIM constraints for network matrix models
• Instantons on the 5-sphere and M5-branes
• M5-branes, toric diagrams and gauge theory duality
• Perturbative partition function for a squashed S^5
• BPS/CFT correspondence II: Instantons at crossroads, Moduli and Compactness Theorem
• BPS/CFT Correspondence III: Gauge Origami partition function and qq-characters
• SUSY monopole potentials in 2+1 dimensions
• From Necklace Quivers to the F-theorem, Operator Counting, and T(U(N))
• Quiver W-algebras
• 3d & 5d gauge theory partition functions as q-deformed CFT correlators
• 5D partition functions, q-Virasoro systems and integrable spin-chains
• SL(2,Z) Action On Three-Dimensional Conformal Field Theories With Abelian Symmetry
• M2-brane surface operators and gauge theory dualities in Toda
• Abelianization and Sequential Confinement in $2+1$ dimensions
• Spectral Duality in Integrable Systems from AGT Conjecture
• Testing Seiberg-Witten Solution
• M-strings, Elliptic Genera and N=4 String Amplitudes
• Gauge/Liouville Triality
• 3d N=2 mirror symmetry, pq-webs and monopole superpotentials
• Toric Calabi-Yau threefolds as quantum integrable systems. R-matrix and RTT relations
• Anomaly in RTT relation for DIM algebra and network matrix models
• Hanany-Witten effect and SL(2,Z) dualities in matrix models
• Spectral dualities in XXZ spin chains and five dimensional gauge theories
• Intersecting Surface Defects and Two-Dimensional CFT
• Intersecting Surface Defects and Instanton Partition Functions
• BPS Spectrum of 5 Dimensional Field Theories, (p,q) Webs and Curve Counting
• Spectral duality in elliptic systems, six-dimensional gauge theories and topological strings
• Triality in Little String Theories
• Factorization of 5D super Yang-Mills on $Y^{p,q}$ spaces
• Gluing Nekrasov partition functions
• Seiberg Duality, 5d SCFTs and Nekrasov Partition Functions
• Holomorphic Blocks for 3d Non-abelian Partition Functions
• ADE Little String Theory on a Riemann Surface (and Triality)
• $q$-Virasoro modular double and 3d partition functions
• 5d Higgs Branch Localization, Seiberg-Witten Equations and Contact Geometry
• Ellipsoid partition function from Seiberg-Witten monopoles
• Mirror theories of 3d $\mathcal{N}=2$ SQCD
• Beyond Triality: Dual Quiver Gauge Theories and Little String Theories
• Quantum q-Langlands Correspondence
• The modular properties and the integral representations of the multiple elliptic gamma functions
• 3d Expansions of 5d Instanton Partition Functions
• The Field Theory of Intersecting D3-branes
• Symmetry enhancements via 5d instantons, qW-algebrae and (1,0) superconformal index
• Notes on Integral Identities for 3d Supersymmetric Dualities
• T[U(N)] duality webs: mirror symmetry, spectral duality and gauge/CFT correspondences
• Bootstrapping the $S^5$ partition function

Cited by in corpus (12)

• Flipping the head of T[SU(N)]: mirror symmetry, spectral duality and monopoles
• From 3d dualities to 2d free field correlators and back
• Surface defects in holographic 5d SCFTs
• Fiber-base duality from the algebraic perspective
• Intersecting Defects and Supergroup Gauge Theory
• 3d defects in 5d: RG flows and defect F-maximization
• 3d $\mathcal{N}=2$ dualities for $SU(N_c)\times U(1)$ Chern-Simons gauge theories
• Branes, partition functions and quadratic monopole superpotentials
• Shifted quantum groups and matter multiplets in supersymmetric gauge theories
• Webs of 3d $\mathcal{N}=2$ dualities with D-type superpotentials
• 3d $\mathcal{N}=2$ Brane Webs and Quiver Matrices
• Intersecting Surface defects and 3d Superconformal indices