Duality walls and defects in 5d N=1 theories

Abstract

We propose an explicit description of duality walls which encode at low energy the global symmetry enhancement expected in the UV completion of certain five-dimensional gauge theories. The proposal is supported by explicit localization computations and implies that the instanton partition function of these theories satisfies novel and unexpected integral equations.

arXiv comment64 pages, 16 figures

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• 6d SCFTs, 5d Dualities and Tao Web Diagrams
• D-type Conformal Matter and SU/USp Quivers
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• Evidence for a Non-Supersymmetric 5d CFT from Deformations of 5d $SU(2)$ SYM
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• N=2 gauge theories on the hemisphere $H{S}^4$
• Complete prepotential for 5d $\mathcal{N}=1$ superconformal field theories
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• Minimal $(D,D)$ conformal matter and generalizations of the van Diejen model
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• On the torus compactifications of $Z_2$ orbifolds of E-string theories
• Conformal Janus on Euclidean Sphere
• Partition functions of web diagrams with an O7${}^{-}$-plane
• Topological strings and Wilson loops
• Surface defects on E-string from 5-brane webs
• Twisted holography of defect fusions
• Thermodynamic limit of Nekrasov partition function for 5-brane web with O5-plane
• S-foldings of 5d SCFTs
• 5D N=1 super QFT: symplectic quivers
• S-duality wall of SQCD from Toda braiding
• The NS limit of the 5D Superconformal Index
• Ground state wavefunctions of elliptic relativistic integrable Hamiltonians
• Singular BPS boundary conditions in $\mathcal{N}=(2,2)$ supersymmetric gauge theories
• Schur Connections: Chord Counting, Line Operators, and Indices