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Boundary confining dualities and Askey-Wilson type $q$-beta integrals
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abstract
We propose confining dualities of $\mathcal{N}=(0,2)$ half-BPS boundary conditions in 3d $\mathcal{N}=2$ supersymmetric $SU(N)$, $USp(2n)$ and $SO(N)$ gauge theories. Some of these dualities have the novel feature that one (anti)fundamental chiral has Dirichlet boundary condition while the rest have Neumann boundary conditions. While some of the dualities can be extended to 3d bulk dualities, others should be understood intrinsically as 2d dualities as they seem to hold only at the boundary. The gauge theory Neumann half-indices are well-defined even for theories which contain monopole operators with non-positive scaling dimensions and they are given by Askey-Wilson type $q$-beta integrals. As a consequence of the confining dualities, new conjectural identities of such integrals are found.
Forward citations
Cited by 2 Pith papers
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Rank-two tensors and deconfinement in 3d $\mathcal{N}=2$ $SU(N)$ gauge theories
The authors derive confining dualities for 3d SU(N) theories with two antisymmetric tensors (nf+na=4) and for symmetric-tensor theories with monopole superpotentials, using tensor deconfinement and duplication identities.
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Boundary lines and Askey-Wilson type moments
Wilson line defect half-indices for 3d N=2 theories with confining boundaries are exactly Askey-Wilson type moments, obtained via dual vortex defects and effective spin shifts in the index computation.
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