Non-Lagrangian Theories from Brane Junctions

Abstract

In this article we use 5-brane junctions to study the 5D T_N SCFTs corresponding to the 5D N=1 uplift of the 4D N=2 strongly coupled gauge theories, which are obtained by compactifying N M5 branes on a sphere with three full punctures. Even though these theories have no Lagrangian description, by using the 5-brane junctions proposed by Benini, Benvenuti and Tachikawa, we are able to derive their Seiberg-Witten curves and Nekrasov partition functions. We cross-check our results with the 5D superconformal index proposed by Kim, Kim and Lee. Through the AGTW correspondence, we discuss the relations between 5D superconformal indices and n-point functions of the q-deformed W_N Toda theories.

66 pages, 28 figures

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• Defects and Quantum Seiberg-Witten Geometry
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• Geometric Engineering, Mirror Symmetry and 6d (1,0) -> 4d, N=2
• Three dimensional canonical singularity and five dimensional N=1 SCFT
• Topological strings and 5d T_N partition functions
• Instanton operators and symmetry enhancement in 5d supersymmetric gauge theories
• Five-dimensional SCFTs and gauge theory phases: an M-theory/type IIA perspective
• Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories
• Tropical Geometry and Five Dimensional Higgs Branches at Infinite Coupling
• Brane webs and $O5$-planes
• 3d Coulomb branch and 5d Higgs branch at infinite coupling
• A new 5d description of 6d D-type minimal conformal matter
• Fiber-Base Duality and Global Symmetry Enhancement
• Trifectas for $T_N$ in 5d
• Quiver Subtractions
• Instanton Operators and the Higgs Branch at Infinite Coupling
• Lifting 4d dualities to 5d
• 5D partition functions, q-Virasoro systems and integrable spin-chains
• Fredholm determinant and Nekrasov sum representations of isomonodromic tau functions
• 5-brane webs for 5d $\mathcal{N}=1$ $G_2$ gauge theories
• Duality and enhancement of symmetry in 5d gauge theories
• Spheres, Charges, Instantons, and Bootstrap: A Five-Dimensional Odyssey
• Tao Probing the End of the World
• Precision test of AdS${}_6$/CFT${}_5$ in Type IIB
• 5d/6d DE instantons from trivalent gluing of web diagrams
• Exact Bremsstrahlung and Effective Couplings
• Magnetic Quivers from Brane Webs with O5 Planes
• Entanglement entropy vs. free energy in IIB supergravity duals for 5d SCFTs
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• A review of the T_N theory and its cousins
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• Little strings on $D_n$ orbifolds
• Partition functions of web diagrams with an O7${}^{-}$-plane
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• ABCD of 't Hooft operators
• Thermodynamic limit of Nekrasov partition function for 5-brane web with O5-plane
• 6d/5d exceptional gauge theories from web diagrams
• Seiberg-Witten curves with O7${}^{\pm }$-planes
• Refined topological vertex for a 5D $Sp(N)$ gauge theory with antisymmetric matter
• From topological strings to minimal models
• Dessins d'Enfants, Seiberg-Witten Curves and Conformal Blocks
• Geometric transition in Non-perturbative Topological string
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